tag:blogger.com,1999:blog-6414756990170006682024-02-20T11:03:27.259-08:006th Grade MathUnknownnoreply@blogger.comBlogger62125tag:blogger.com,1999:blog-641475699017000668.post-85815780396696425382012-08-25T04:26:00.002-07:002013-12-23T03:57:08.632-08:00Variable and Expression<div dir="ltr" style="text-align: left;" trbidi="on">
In the previous post we have discussed about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Completing the Square </span>and In today's session we are going to discuss about Variable and Expression. When we study about the algebra and finding the solution of the algebraic equations, we say that the child must have the knowledge of the <b>variable and expression</b> before we start the study of the equations. By the term variable, we mean the values which are unknown and the different values can be placed to these variables. Now we will say that the expression can be formed by joining the terms with the operators + and -.<br />
So we say that x , y , z are the variables. On the other hand we have 3x, 5y, 6z as the terms which are used as the units for the formation of the algebraic expressions. So we say that 3x + 5y – 2z is the expression. We can perform the mathematical operations on the expressions.<br />
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In order to add the expressions, we need to remember that the like terms of the expressions can be added together. So if we have the two expressions 3x + 6y and 4x – 2y so to add the given expressions we will proceed as follows:<br />
(3x + 6y) + (4x – 2y),<br />
= ( 3x + 4x ) + ( 6y – 2y),<br />
= 7x + 4y.<br />
Thus we say that the coefficient of the like terms are added up. In the same way the operation of subtraction can also be performed. So if we take the two expression: 3x + 6y and 4x – 2y . If we need to find the difference of the two expressions we will write it as follows: (3x + 6y) – ( 4x – 2y).<br />
= ( 3x – 4x ) + ( 6y + 2y),<br />
= -x + 8y.<br />
We can also perform the operation of multiplication and division on the algebraic expressions. Different rules are followed for solving such expressions.<br />
If we have any idea about Pythagorean Theorem than we can solve <b>Pythagorean Theorem Word Problems</b>. iit Question Paper 2013 help students for upcoming 2013 iit exam.</div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-80057989326341366352012-08-21T04:55:00.002-07:002013-12-23T03:57:26.378-08:00Completing the Square<div dir="ltr" style="text-align: left;" trbidi="on">
In this blog we will see how to <b>Completing the Square</b>. To find the complete square of any term first we need to take a quadratic equation. For example: as we know that the equation which has highest power is 2 is said to be quadratic equation. The general form can be written as: ax<sup>2</sup> + bx + c = 0, then change the general form into this given form:<br />
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a ( x + d)<sup>2</sup> + e = 0.</div>
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If we want to find the value of variable ‘d’ then we use formula: the formula to find the vaule of ‘d’ given as: d = b / 2a and formula to find the vlaue of ‘e’ is given as: e = c – b<sup>2</sup> / 4a. To calculate the complete square we need to follow some basic steps so that we can easily understand the process.</div>
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<b>Step 1:</b> First of all we have to take a simple expression. Suppose we have simple expression as: x<sup>2</sup> + bx. Here in this expression value of x is twice.</div>
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<b>Step 2:</b> Then complete square in the given expression. So it can be written as: x<sup>2</sup> + bx + (b / 2)<sup>2</sup> = (x + b / 2)<sup>2</sup>, it means if we add (b / 2)<sup>2</sup> then we get the square.</div>
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Let understand all the steps with the help of small example:</div>
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For example: p<sup>2</sup> + 6x + 7, in this expression the value of b is 6,</div>
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Solution: Given expression is p<sup>2</sup> + 6x + 7, to find its complete square we need to follow the above mention steps:</div>
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First of all we have to find the complete square or value of d. we can find the vlaue of d using the above given formula:</div>
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d = b / 2a = 6 / 2</div>
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So it can be written as:</div>
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p<sup>2</sup> + 6p + (6 / 2)<sup>2</sup> + 7 – (6 / 2)<sup>2</sup></div>
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So it can be written as:</div>
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(p + 6 / 2)<sup>2</sup> + 7 – 9 on further solving we get:</div>
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(p + 3)<sup>2</sup> – 2. in this way we can find out the complete square.</div>
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<b>Rolling Friction</b> is the force resisting motion when a body rolls on a surface. icse books free download to get more information about rolling fraction.</div>
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-78089898042044550132012-07-19T03:11:00.002-07:002013-12-23T03:57:44.738-08:00Irrational Numbers List<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: 9pt; line-height: 0.42cm;">In the previous post we have discussed about </span><span class="Apple-style-span" style="font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 12px; line-height: 15px;">Is 0 a rational or Irrational number </span><span class="Apple-style-span" style="font-size: 12px; line-height: 15px;">and In today's session we are going to discuss aboutIn mathematics, any number written in the form of simple fraction is said to be irrational number or the number which is not rational is irrational number.</span><br />
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<div style="border: none; font-style: normal; font-variant: normal; font-weight: normal; line-height: 0.42cm; margin-bottom: 0cm; orphans: 2; padding: 0cm; widows: 2;">
<span style="color: black;"><span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">The ‘pi’ is the example of irrational number because its value after the decimal point is:</span></span></span></span></div>
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<span style="color: black;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">âŠ¼ <span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">= 3.1415926535897……….. So it cannot be expressed in form of rational number.</span></span></span></span></span></span></div>
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<span style="color: black;"><span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">Now we will see the <b>irrational numbers list</b>. The irrational number list is given below: A list of irrational numbers includes numbers like: (know more about Irrational Numbers List, here)</span></span></span></span></div>
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<span style="color: black;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;"> √<span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">2, √3, √5, √7, √11, √13, √17, √19, √23, √29, √31, √37, √41, √43, √47, √53, √57, √59, √61, √63, √67, √69, √71, √73, √79, √83, √87, √89, √93, √97, √101, √103, √107, √109, √111, √113, √117, √119, √123, √129, √131, √137, √141, √143, √147, √153, √157, √159, √161, √163, √167, √171, √173, √173, √183, √187, √189, √193, √197, √201, √203, √207,√211………...and so on. The List of Irrational numbers include many other numbers. Let’s study some facts about irrational numbers:</span></span></span></span></span></span></div>
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<span style="color: black;"><span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">· Negative of an irrational number is also irrational number, meaning of this sentence is: if ‘y’ is irrational then ‘–y’ is also an irrational number.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">· If we add an irrational number and rational number then the sum we get is also irrational. Let ‘p’ is an irrational number and ‘q’ is a rational number then the sum (p + q) is also irrational.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: 'Lucida Grande', 'Lucida Sans Unicode', Calibri, Arial, Helvetica, Sans, FreeSans, Jamrul, Garuda, Kalimati;"><span style="font-size: x-small;"><span style="background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial;">· In case of roots also the above step is applicable, let √7 is irrational and ‘e’ is rational then the sum √7 + e is also irrational. This is all about the irrational number list. Now we will <b>Units of Momentum</b>. Momentum can be defined as the product of mass and velocity of given object. The unit of momentum is kg.m/s. If you are prepression for IIT then please prefer online tutorial of <b>iit sample papers</b>. It is very helpful for iit exam point of view. </span></span></span></span></div>
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-58263946178010116632012-07-18T23:12:00.002-07:002013-12-23T03:57:59.299-08:00Is 0 a rational or Irrational number<div dir="ltr" style="text-align: left;" trbidi="on">
Before comparing that <b>Is 0 a rational or Irrational number</b>, it is necessary to learn about the rational and irrational. Rational number can be defined as a number which is written in the fraction form or written in p/q (in ratio). For example: 1.2 the number is rational because it is also written in the fraction form. So we can write it as 6/5. An irrational number can be defined as a real number which cannot be written in the fraction form or cannot be written in p/q form. For example: pi the value of pi is 3.14 it is not in the ratios. So pi is included in the categories of irrational number. In word we can say that the numbers are not rational are all irrational numbers.<br />
Now we will see Is 0 a rational or Irrational number? According to the definition of rational number and irrational number we can easily say that ‘0’ is rational number because it can be written in the form of p/q or in form of fraction. If we write 0 in fraction form then we can write it as:<br />
â‡¨ 0 / 1 = 0<br />
We can easily compare any number using the definition of rational number and irrational number. Suppose we have given some number 9.5, 5, 1.75, √2, 0.111, √3, √99, now find which number is rational number and which one is irrational number. (know more about Is 0 a rational or Irrational number, here)<br />
According to the definition of rational number and irrational number we can easily compare the given number.<br />
9.5 can be written as 19/2, so it is rational number. 1.75 can be written as 7/4 so it is also rational number. √2, √3 and √99 cannot be written in the fraction form so these numbers are irrational number. And 0.111 can be written as 1/9 so it is also a rational number. So this is all about the rational and irrational number.<br />
Now we will see the <b>Units of Density</b>, unit of density is given as kg/m<sup>3</sup>. Before entering in the examination of 10<sup>th</sup> class please focus on <b>10th maths question paper</b>. It is very helpful for exam point of view and In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Irrational Numbers List. </span></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-37004610302706332232012-07-05T04:42:00.002-07:002013-12-23T03:58:22.109-08:00How to Find Percentage<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: small;">In the previous post we have discussed about</span><span style="font-size: small;"> Proportions </span><span style="font-size: small;">and In today's session we are going to discuss about Percentage, It defines how a number is present in form of fraction. It is define as a ratio that is based on the whole number. We can describe percentage as a value occurred on per 100. As the name describe per cent in which cent means hundred. In this blog we are going to know about <b>how to find percentage</b>. When we define any number in terms of percentage as 25% means 25 / 100 or 25 per 100. It also express the method of changing any percent value in the whole number.</span><br />
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">We can easily express a number in form of percentage , first generate a fraction that have numerator as the value for which we want to calculate percentage and denominator define as the whole value and then multiply this fraction with 100 .It gives the percentage as if there is part x and its whole value is y then percentage is expressed as x / y * 100.</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">We can describe whole process of generating percentage in form of some steps as:</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">(1): Find the whole value</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">(2): define the portion for which percentage will be calculated.</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">(3): Generate the fraction</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">(4): calculate the percentage by multiplying the fraction value with the 100.</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;">All the steps are described by an example as if the value is 25 and whole value is 50 than percentage is calculated as put the whole value and partition value in form of fraction as 25 / 50 and then multiplied it with 100 as 25 / 50 * 100 = 50 % that means 25 is 50 % of 50 that means 25 is just half of 50.</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><b>Cognitive Bias</b> describe as a deviation in the judgment that is generate in specific situation. It is express as the inherent errors in thinking.</span></span></div>
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<span style="color: black; font-size: small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><b>icse question papers</b> that is provided by the icse board helps the students to know to get know the pattern of the papers and also to get know the questions that are frequently asked in the examination.</span></span></div>
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-60472585897242172432012-07-04T05:04:00.002-07:002013-12-23T03:58:53.161-08:00Proportions<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: 9pt; line-height: 0.45cm;">In algebra proportion is define as the special form used for comparison of two ratios . When we talk about the ratios it define as relationship between two or more things. But when we talk about the proportion it is the method of setting two ratios equal. We can say it in other words as when two ratios are equal to each other then their proportion are also equal. It is explained as 1 / 2 is equal to the 2 / 4 or 14 / 28.</span><br />
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);"><b>Proportions</b> is used when there is one part is missing in the given ratio as if a ratio is equal to other ratio means there proportion are equal then we can easily find the missing value. (want to Learn more about Proportions, click here), </span></span></span></span></div>
<div align="LEFT" style="border: none; font-style: normal; font-weight: normal; line-height: 0.45cm; margin-bottom: 0cm; orphans: 2; padding: 0cm; widows: 2;">
<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">As if there are two ratios a / b that is equal to x / y then these are stated as</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">a / b = x / y means these ratios have same proportions.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">Sometimes values are missing from ratios but having the same proportion as x / 10 and 1 / 2 have these ratios are stated as x / 10 = 1 / 2, so for finding the value of x we use the proportion as</span></span></span></span></div>
<div align="LEFT" style="border: none; font-style: normal; font-weight: normal; line-height: 0.45cm; margin-bottom: 0cm; orphans: 2; padding: 0cm; widows: 2;">
<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">x = 10 * 1 / 2</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">x = 10 / 2 = 5.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">We can also depict the proportion as the comparison that shows the relative relation between two or more things in terms of quantity , quality and any other sort of measurement.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">Topic on <b>How to Graph a Circle</b> will describe all the methods of graphing a circle in easy manner.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);"><b>icse sample paper</b> that is provided by the icse board that helps the students to understand the pattern of paper come in the exam and In the next session we will discuss about</span></span></span></span><span style="color: black;"><span style="font-size: x-small;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"> </span></span></span>How to Find Percentage<span style="color: black;"><span style="font-family: Lucida Grande,Lucida Sans Unicode,Calibri,Arial,Helvetica,Sans,FreeSans,Jamrul,Garuda,Kalimati;"><span style="font-size: x-small;"><span style="background: none repeat scroll 0% 0% rgb(255, 255, 255);">. </span></span></span></span></div>
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-56889784269442634512012-06-13T00:55:00.002-07:002013-12-23T03:59:08.775-08:00Consecutive Odd Integers<div dir="ltr" style="text-align: left;" trbidi="on">
In the previous post we have discussed about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">How to solve Consecutive Integers<span class="Apple-style-span" style="font-size: 22px;"> </span></span>and In today's session we are going to discuss about Consecutive Odd Integers. Let us first talk about the integers. The numbers which can be expressed in the form of the whole numbers and their additive inverse are called integers. All the integers can be expressed on a number line. A number line contains the series of all positive and negative numbers marked at the equal interval, where we could observe the number zero at the center, positive numbers at the right of the number line and negative numbers at the left of the number line. Now we will learn about the <b>Consecutive Odd Integers</b>. By the consecutive numbers, we mean the numbers appearing one after another. Thus 1, 2, 3 . . . are consecutive integers. Now if we talk about the consecutive odd integers, we mean the series of odd integers which occur one after another but are odd. So we say that the series of odd consecutive integers are 1, 3, 5, 7, 9 , . . . . . . etc. In case of writing the series of odd integers in the form of general series we will assume any number x. We know that 2 * x will always be the odd number. Now on another hand we say that if we add 1 to the odd number, it becomes the odd number. For this we say that the number 2x + 1 is any odd number. Now to write the series of the odd consecutive integers, we write 2x + 1, 2x + 3, 2x + 5, 2x +7 . . . . etc. (know more about Integer, here<br />
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In order to learn about the <b>Variance Calculator</b>, we will visit online math tutor and learn more about the related topics. <b>Central Board of Secondary Education Sample Papers</b> is also available in all the subjects and they can guide us to understand the pattern of the question papers in the previous years. It will guide the students to prepare for the fore coming examinations.</div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-25335614507146823442012-06-13T00:54:00.002-07:002013-12-23T03:59:25.744-08:00How to solve Consecutive Integers<div dir="ltr" style="text-align: left;" trbidi="on">
Integers are the numbers which can be expressed in the series from minus infinite to plus infinite. Now let us look at the <b>consecutive integers</b>. Two integers which exist one after another when they are expressed on the number line are called consecutive numbers. If we have any number n, then the successor and the predecessor of the number n forms the series of the consecutive numbers. So if we have n = 5, then we have n-1 = 5 – 1 = 4 and n + 1 = 5 + 1 = 6. Thus the series 4 , 5 , 6 are called consecutive numbers. There series of consecutive numbers can be used to solve many word problem related to linear equations. In case we talk about any 3 consecutive integers, we say that series will be x, x + 1 and x + 2. On the other hand if we need to write the series of even numbers, then we know that each even number is the multiple of 2, so the first number will be 2 * x. (know more about Integers, here<br />
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Thus the series of consecutive integers will be 2x , 2x + 2, 2x + 4. Now we will assume the series of odd consecutive integer numbers. For this we will assume the first odd integer as 2x + 1. The next odd integer will be 2x + 3, 2x + 5. Thus the series of consecutive odd numbers will be 2x + 1, 2x + 3 and 2x + 5.<br />
If we have the problem that the sum of 3 consecutive integers is 36, find the integers. Then we will first assume the three numbers as x , x + 1 and x + 2. Thus we represent the sum as :<br />
X + x + 1 + x + 2 = 36<br />
Or 3x + 3 = 36<br />
Or 3x = 36 – 3<br />
Or 3x = 33<br />
Or x = 33/ 3 = 11<br />
SO the three numbers are 11, 12 and 13.<br />
In order to learn <b>How do you Find the Circumference of a Circle</b>, we can take online help from math tutor and learn the concepts in details. <b>CBSE physics syllabus</b> is also available online and we can download the curriculum for different grades from it and In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Consecutive Odd Integers.</span><br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-25475428188703436552012-06-12T02:35:00.001-07:002013-12-23T03:59:38.171-08:00Problem solving strategies<div dir="ltr" style="text-align: left;" trbidi="on">
To become a better problem solver you need to analyze the problem in deep first and it require a systematic approach. <b>Problem solving strategies</b> requires practice, the more you practice, the better you get.<br />
<b>Strategies of problem solving</b> are:<br />
1. Look for the clues: In problem solving strategies, first read the problem carefully and underline the clue words. Look for the facts given and what do you need to find out.<br />
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2. Make a plan: In strategies of problem solving, firstly set a plan. Or if you have done any problem like this before then do what you did. You can use formulae, sketches, tables or any pattern.<br />
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3. Now solve: In problem solving strategies, whatever plan you have thought of, just solve the problem according to it.<br />
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4. Checking your answer: In strategies of problem solving, look over the solution. Check if it is the probable answer and also check for the units to be used in the answer.<br />
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In problem solving strategies, the first thing you do is looking for a clue, for which you need to a skills in solving problems and practice is most important here.<br />
For example: In strategies of problem solving, if we are looking for clues in addition.<br />
Then clues can be total, sum, in all, perimeter and so on.<br />
Now in problem solving strategies, if you are looking for the subtraction clues, then they can be difference, exceed or how much more.<br />
Similarly, in strategies of problem solving, if we are looking for the clues of multiplication, then you should look for the words: total, area, times, product, etc.<br />
And in problem solving strategies, if you are looking for the clues related to division, then you should look for the words: distribute, quotient, average, share, divide,etc.<br />
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In strategies of problem solving, after all of the above points , one point which you need to remember is practice as much as you can to become a good problem solver.<br />
In The Next Session We Are Going To Discuss <b>Grade VI</b>, <b>Tools To Solve Problems</b>.<br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-36710643886506961802012-06-07T01:26:00.002-07:002013-12-23T03:59:57.365-08:00Multiplying Mixed Numbers<div dir="ltr" style="text-align: left;" trbidi="on">
In the previous session we discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Prime and Composite Numbers<span class="Apple-style-span" style="font-size: 22px;"> </span>and now today we will discuss about </span><span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Multiplying Mixed Numbers<span class="Apple-style-span" style="font-size: 22px;">. </span></span>In the mathematic a whole number is combined with a fraction is known as mixed number.<br />
For example: 4 <u>1</u> and 3 <u>5</u><br />
5 8<br />
These are the examples of mixed fraction.<br />
Now we will see process <b>multiplying mixed numbers</b>.<br />
For multiplication of mixed fraction we have to follow some steps which are:<br />
Step1: For the multiplication of mixed fraction firstly take a mixed number.<br />
Step2: Then after change the mixed number into an improper fraction.<br />
Step3: Then we write the number in multiplication order.<br />
Step4: Then we will see the fraction values, if the values are divisible then we cancel the value otherwise we have to multiply numerator value of one fraction into another and multiply the denominator value to the other fraction.<br />
Step5: At last again we get the result.<br />
Suppose we have any mixed number 16 14/12 multiply to 10 8/14.<br />
For the multiplication mixed numbers we have to follow all the above following steps:<br />
Step1: firstly write the mixed number which is given:<br />
16 14/12 * 10 8/14;<br />
Step2: Now we have to convert mixed number into improper fraction.<br />
= <u>206 </u>* <u>148,</u><br />
12 14<br />
Now multiply the numerator value of one fraction by another value and multiply denominator by other denominator value.<br />
= <u>206 * 148,</u><br />
12 * 14<br />
On further solving we get:<br />
⇒ <u>30488,</u><br />
168<br />
Now divide the numerator value to the denominator value.<br />
On dividing we get:<br />
â‡¨ 181.47<br />
On multiplication we get the 181.47.<br />
Suppose we have any mixed number 8 7/10 multiply 4 8/9.<br />
For multiplication of mixed numbers we have to follow all the above following steps:<br />
Step1: firstly write the mixed number which is given: <br />
8 7/10 * 4 8/9;<br />
Step2: Now we have to convert mixed number into improper fraction.<br />
= <u>87 </u>* <u>44,</u><br />
10 9<br />
= <u>87 * 44,</u><br />
90<br />
Step4: Now multiply both the numerator and denominator values.<br />
On multiplication we have:<br />
⇒ <u>3696,</u><br />
90<br />
On multiplication we get the 3696/90.<br />
A <b>trigonometry calculator</b> is a mathematical tool which makes the calculation so easy. For more detail see the <b>Andhra Pradesh board of secondary education</b>.</div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-44892883732652942202012-06-06T05:29:00.002-07:002013-12-23T04:01:05.911-08:00Prime and Composite Numbers<div dir="ltr" style="text-align: left;" trbidi="on">
Having learnt about factors of numbers, we will learn about another classification of numbers on the basis of factors. This is classification of numbers as <b>prime and composite numbers</b>. Before we try to know about this concept, let us recall factors. Factors of a number are the numbers which divide the given number completely or we can say that if a number is completely divisible by some other number, then the latter is called the factor of the former number. It is also important to note here that any number is always completely divisible by 1 & itself.<br />
Turning to our topic of discussion here, let us define prime and composite numbers.<br />
A number which has exactly two factors is called prime number. Such numbers are completely divisible by 1 & itself only, no other number completely divides such numbers. If we take 5 & list its factors, we get only 2 factors of 5, viz.,1 & 5; so 5 is a prime number. Similarly, 2, 3, 7, 11, 13, 17,19, 23, 29,etc are all prime numbers.<br />
A number which has at least 3 factors, i.e., other than 1 & itself, it is divisible by at least 1 other number is called a composite number. If we take 4 & list its factors, we get 3 factors of 4, viz.,1 , 2 & 4 itself; so 4 is a composite number. Similarly, 6, 8, 9, 10, 12, 14, 16, etc are composite numbers.<br />
In listing the examples of prime & composite numbers, we notice that our numbers begin with 2; not 1. It is because 1 is the only number which has only 1 factor, i.e.,1. It is 1 itself, hence, it does not fit either of the definitions of prime or composite numbers. Thus, we say that 1 is neither prime nor composite.<br />
You can learn about <b>distance formula calculator</b> from different sites online. Also to know about <b>Indian certificate of secondary education</b>, you can search it online.</div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-23484067776611961182012-06-01T05:05:00.002-07:002013-12-23T04:01:16.576-08:00What is a Ratio<div dir="ltr" style="text-align: left;" trbidi="on">
In the previous post we have discussed about Fractions and In today's session we are going to discuss about What is a Ratio, When we need to compare the two quantities, we say that we are going to find the ratio of the two numbers. Now let us learn <b>what is a Ratio</b>? We say that a ratio shows the relative sizes of two or more values. We can represent the ratio of the two quantities in different ways. First method to show the ratio is by colon sign “:”. Here we write two items separated by a colon. Another way to represent the ratio is as a single number by dividing one value by the total. If we take the examples of both the cases, we say that:<br />
If there are 25 boys and 17 girls in the class and we need to represent the ratio of boys: girls, we write 25 ratio 17 or it can be expressed as 25 :17<br />
In case we write there is one boy and 3 girls, then we represent the ratio as 1 : 3 and we write that for every 1 boy, there are 3 girls.<br />
The above mentioned statement tells that there are in all 1 + 3 students, so we can also represent the above ratio as ¼ are boys and ¾ are girls. Here we can say that out of total of 4 children, we have 1 out of 4 as boys and 3 out of 4 as girls.<br />
So on dividing ¼, we get 0.25 are boys and 0.75 are girls. This statement leads us to the conclusion that 25 % of all the students are boys and 75 % of all the children are girls.<br />
To learn more about <b>Stem and Leaf Plot</b>, we can visit online tutors and search on net on this particular topic. <b>CBSE board sample papers for class 12</b> are available online for all the subject, to provide us the guidance to know about the pattern of the paper.<br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-89283907103019461562012-06-01T04:59:00.002-07:002013-12-23T04:01:31.965-08:00Fractions<div dir="ltr" style="text-align: left;" trbidi="on">
In mathematics fraction means the numbers are in the form a/b. In fraction ‘a’ is called numerator part and ‘b’ is called denominator part and in fraction both the parts numerator and denominator are integer numbers.<br />
Now we are going to explore <b>fractions</b>. Basically fractions are of three types and they are given as:<br />
1. Proper fraction.<br />
2. Improper fraction.<br />
3. Mixed fraction.<br />
Proper fraction: Fractions whose numerator is smaller than denominator is called proper fraction.<br />
For example: - 1/3, 3/5, 6/9 etc are proper fraction.<br />
Improper fraction: Fractions in which numerator part is larger than the denominator part is called as improper fraction.<br />
For example: - 4/2, 8/4, 7/4 etc are improper fraction.<br />
Mixed fraction: When the numbers consist of whole number as first part and second part as fraction are called mixed fraction.<br />
For example: - 2(1/2), 7(3/9) etc are mixed fraction.<br />
Now see how to add fractions and there are some rules which we have to follow while adding fraction numbers. Suppose we have two fraction numbers 2/5 and 4/5 now we want to add these two numbers before adding two fractions we have to take LCM (least common factor) of both denominators<br />
2/5 + 4/5 = (2+4)/5<br />
Now it is clearly seen that both the denominators are same so denominator become 5 and we add both the numerator and get:<br />
(2+4)/5 = 6/5,<br />
So after adding two fractions we get the result and that is 6/5.<br />
Now take another example where both denominators are different. Two numbers are 3/2 and 5/4, now taking the LCM of denominators and the LCM is 4.<br />
Then, 3/2 + 5/4 = (6+5)/4,<br />
(6+5)/4 = 11/4,<br />
So the final result is 11/4 and by this way we are going to solve the fractions.<br />
<span style="text-align: left;">You can learn different math topic online like <b>Box and Whisker Plot</b>. For <b>cbse class 12 sample papers</b></span> you can take help of online eduational portal boards.edurite.com.<br />
And In the next session we will discuss about What is a Ratio. </div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-74005567186710214002012-05-22T22:34:00.002-07:002013-12-23T04:01:44.596-08:00add unlike fractions calculator<div dir="ltr" style="text-align: left;" trbidi="on">
The use of <b>add unlike fractions calculator</b>, will help us to learn how to add the unlike fractions, which means to add the fractions which have different denominators. We observe that if the denominators of the two fractions are not same, then we will first try to make the denominators of the two fractions same, so it is done by making the two fractions like. In order to make the denominators of the two fractions same, we need to find the LCM of the two denominators and thus once we will find the LCM of the two denominators same, we will convert the two fractions into their equivalent fractions. For this we will multiply the numerator and the denominator of both the fractions with certain number to get the denominator as the LCM which we have calculated earlier. Now we observe that the denominators of the two fractions have become same and so it becomes the problem of addition of like fractions. Now we will add the numerators of the two like fractions and thus get the sum of two unlike fractions. Finally we convert the resultant fraction into the standard form. To understand it more clearly we look at the following example:<br />
3/5 + 5/4<br />
Here we have 5 and 4 as the denominators, so LCM of 5 and 4 is 20. Now we convert 3/5 and 5/4 with denominator 20, so they are written as<br />
= 12 / 20 + 25 / 20<br />
= ( 12 + 25 ) / 20<br />
= 37 / 20<br />
Now they are in the standard form, so 37 / 20 is the solution.<br />
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<b>algebra solver</b> is another topic which you can find online to get learns more about algebra. Sociology Tamilnadu Board Sample Paper will help students to get good marks in exams and In the next session we will discuss about Mathematics in daily life. </div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-91294669130371614142012-05-22T22:33:00.002-07:002013-12-23T04:01:58.534-08:00online tutor<div dir="ltr" style="text-align: left;" trbidi="on">
To learn about the use of <b>online tutor</b>, in day to day update of the academics, we feel that the child make use of online tutor to learn about the topics which he feels that he is not able to understand by his own and you can take help of gujarat secondary education board. So in such a case a child uses the facility which is provided by the online tutor to get online support and get the solution to the problems where you find any type of difficulty to understand it. In case we are living in a rural area or any locality isolated from the main city and we do not have any mentor to guide us at each step we are held up, in such cases, we have online tutor to guide us and help us time and again we require guidance at some stage or the another. So if a child is a keen learner and wants a guide to help him to make the topics clear time to time, he / she must register himself for the use of online tutor and make the use of the online tutor 24 hours, 7 days a week. Online tutor is at your disposal any time, any moment you require the guidance and assistance. It provide us creative and innovative ways to learn and understand the units of the chapter the child feels difficult to learn and understand. Online tutors also provides the support and help so that the chapter becomes interesting and based on the units learned, a child is provided online worksheets to test his learning ability.<br />
This is all about the online tutor and if anyone want to know about z score then they can refer Internet and text books for understanding it more precisely and Read more maths topics such as online tutoring in the upcoming sessions here and In the next session we will discuss about add unlike fractions calculator.<br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-11584898368183858912012-05-03T05:25:00.002-07:002013-12-23T04:02:35.078-08:00Make generalizations<div dir="ltr" style="text-align: left;" trbidi="on">
Hello students,Previously we have discussed about verifying trigonometric identities and In this blog I am going to tell you about the generalizations which comes under<b> 12th state board syllabus tamilnadu</b>. We can understand the generalization as the means of conclusions. Here a important point is that all generalization can be conclusions but it is not necessary that all conclusions may be generalizations. In generalization we extend the concept pf concept in more precise form.<br />
Generalization may be faulty and valid generalization. The simple definition of the generalization is that, it is that type of broad statement that comes from the various valid resources like from observations, experiences and by doing surveys of the entire group of people A valid generalization follows some properties: -<br />
(I) There should be some facts to support the particular generalize statements.<br />
(II) There should be various types of examples to support that generalize statements <br />
(III) There should be some past facts, surveys and experience.<br />
(IV) There should be valid logic and reasoning.<br />
If any statements do not the follow the above properties then it is said to be faulty generalization.<br />
Below are some examples to <b>make generalizations</b>.<br />
Simple type of information - Government schools, Colleges, courts, offices are closed on the second of October.<br />
In generalize form – Most of the government buildings are closed on national holiday.<br />
Simple type of information – My brother sneezes every time of second when Diwali comes. <br />
In generalize form – My brother is allergic to crackers.<br />
Some predefined generalizations are: - Asians are bad drivers? And white men can’t jump?<br />
Generalization means either the word all or every. Below are the some generalization’s clue words, they are: -<br />
All None<br />
Most Many<br />
Always Some<br />
Usually Seldom<br />
Never Sometimes<br />
Few Generally and last Overall.<br />
The above mention words support instruction for the generalization.<br />
In the next session we will discuss about online tutor and You can visit our website if you need help with algebra. <br />
<br /></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-37911451396545154782012-05-03T05:24:00.002-07:002013-12-23T04:02:45.783-08:00Mathematics in daily life<div dir="ltr" style="text-align: left;" trbidi="on">
In our daily routine life mathematics play an important role to fulfill our most of the task that can’t be possible without the help of mathematics. Mathematics provides lots of concept, rules, methods and properties to accomplish the task which is related to the maths. People have been using the mathematical principal and tool form thousands of years, across several countries and continents. In our daily routine life, mathematics work as a body part to solve the problem by providing solving equations with fractions and other problems. Mathematics is a universal concept, which did not invent. <b>Mathematics in daily life</b> is discovered by the human being across the world and is an important part of tamilnadu education board.<br />
There are several applications of mathematics in daily life that belongs to our daily routine activities. Suppose a man went to the market to buy something. He had $ 50 in his pocket. He bought many things for his house. Now the question arises that how he calculate, “how much money he spends?” and “how much he saves?” the solution of these problem are provided by the mathematics. In mathematics various types of operation are defined to solve the calculative problem in terms of money or more things, like addition, subtraction, multiplication division and so on. The importance of mathematics is not limited to the calculative part, they are widely used in various filed like several field of science, in the field of space research or many more fields that are related to the human being.<br />
Suppose a man wants to paint their house. The cost of paint the house will be $ 3 per m<sup>2</sup>. At that time there are various formula provided by the mathematics to calculate the geographical surface of the earth. These formulas are very helpful in estimating the cost of painting the house or any type of maintenance work. According to my view the importance of Mathematics in daily life can’t be explain in words because it is concept which are used by everybody in each and every moment of life.<br />
In the next session we are going to discuss about how to Make generalizations<br />
and You can visit our website for getting information about math word problem solver.<br />
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Anonymousnoreply@blogger.com1tag:blogger.com,1999:blog-641475699017000668.post-24693128950182615012012-04-16T04:35:00.002-07:002013-12-23T04:02:57.005-08:00Steps in problem solving<div dir="ltr" style="text-align: left;" trbidi="on">
Previously we have discussed about verifying trigonometric identities worksheet and In today's session we are going to discuss about Steps in problem solving which is the most important part of secondary school education andhra pradesh, The problems that looks very complex initially are not solve directly so there are basically some Steps in problem solving that are use in solve math problems as follows:<br />
Step no (1): Problem understanding – In this step first states the problem in your own words then find the main problem or thing you want to solve.<br />
Then find the all unknown variable into the given problem and check the other information you need to find the solution for main problem.<br />
Step no (2): After writing the problem into own understanding way make a plan to solve the problem – There are some steps or strategies that helps in making a plan:<br />
First of all check the pattern of the problem then research for the other problems that are solved before having the same pattern .After getting the all results then make the tables and diagram according to the given problem and at last make the suitable expression for the problem that have the same pattern as before solved problems<br />
Step no (3) : act according to the plan – After making a useful plan implement according to the plan means perform the necessary actions and computations that are helping us in solving problem .when getting the answer check them that these are according to the expected answer or not and if these are not according to them then apply other plan for problem solving .Maintain the record for each and every calculations .<br />
Step no (4) : Back track :Check the Result by putting in the original problem and find another method to cross check the answer and also find the other related problem that are in more general form by solve with the existing technique or method .<br />
In the next session we are going to discuss about Mathematics in daily life<span style="font-weight: normal;"> and You can visit our website for getting information about </span>online math help.<br />
<br /></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-48396378544143887042012-04-16T04:07:00.002-07:002013-12-23T04:03:15.872-08:00equally likely events<div dir="ltr" style="text-align: left;" trbidi="on">
Hello students,Previously we have discussed about inverse function worksheet and In today's session we are going to discuss about equally likely events which is a part of board of intermediate education andhra pradesh, In the mathematics we deals with the probability and their events such as exhaustive, dependent, independent, mutually exclusive, favorable and many more. Equally likely events are one of them. Let’s talk about the equally likely events definition : - In some experiments we know the results in advance but actually do not know the exact result, this type of results are called the random experiments and the result of random experiments are called equally likely events if the different outcomes have the same chance of occurrence.<br />
For example when a die is thrown, each of the faces bearing one, two, three, four, five or six dots is equally like to appear.<br />
Another example when we toss a coin then we have a chance to get either a Head or Tail.<br />
Means it includes all those experiments in which we know the all results but we do not know the actual or exact results.<br />
Let’s take examples -<br />
Which of the following experiments have equally likely outcomes or events.<br />
I) A driver attempts to start a car. The car start or does not start.<br />
II) A players attempts to shot a basketball. she/he shoots or misses the shot.<br />
III) A trial is made to answer a true false question. The answer is right or wrong.<br />
IV) A baby is born. It is a boy or girl<br />
Solutions : - (I) A driver attempts to start a car. The car starts or does not start, is not equally like events.<br />
(II) A players attempts to shot a basketball. she/he shoots or misses the shot are not equally like events.<br />
(III) A trial is made to answer a true false question. The answer is right or wrong is an equally like to occur.<br />
(IV) A baby is born. It is a boy or girl is an equally like occur event.<br />
<br />
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In the next session we are going to discuss Grade VI, Steps in problem solving and You can visit our website for getting information about free math tutor. </div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-40832090575324937862012-04-16T04:06:00.002-07:002013-12-23T04:03:30.267-08:00Mathematical Reasoning<div dir="ltr" style="text-align: left;" trbidi="on">
Previously we have discussed about difference between rational and irrational numbers and In today's session we are going to discuss about Mathematical Reasoning which is a part of ap secondary education board, Mathematical reasoning explained by solving the problem without knowing that what is to be done but when you know how to solve the problem then it is not consider as mathematical reasoning .For the question about what is mathematical reasoning the answer is that collection of the problems that are not in routine life and they are not solved by using any normal procedure and these problems are solved by making own strategies and by making own methods , also these are not based on the single strategy but based on the variety of strategies are known as the mathematical<br />
There are some mathematical reasoning examples to understand the way of solving the problems of mathematical reasoning: Example: If Jon have 23 chocolates and he put equal number of chocolates in two bags and after putting seven chocolates are left then how many chocolates he put into each bag? The problems will need only little bit of attention to solve are considered as mathematical reasoning problems.<br />
These types of problems are helping the students to make their mathematical concept strong as well as they helps the student to save their extra time that is spend in problem solving as for example If we want to multiple the number 36 * 18 then it will solved in more easy way as add 4 to 36 that is equal to 40 (36 + 4) and add 2 in 18 to make it 20 as (18 + 2) and multiply them that is much easier then multiply 36 * 18 and answer for multiplication 40 * 20 = 800 and subtract 4 and 2 that is totally 6 from 800 that is 794 that is the actual answer for multiplication of 36 * 18 .<br />
In the next session we are going to discuss Grade VI, equally likely events and You can visit our website for getting information about free online tutor.<br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-44801055910120803482012-04-16T04:05:00.002-07:002013-12-23T04:04:03.245-08:00Informal and mathematical language<div dir="ltr" style="text-align: left;" trbidi="on">
Hello students, in daily to daily life we use language to telling something to anyone not only we use but everyone use the language for the communication. The language may be anyone like English, Hindi, Latin and many more. But have you ever think about the language of Maths. Here we are going to discuss the language of maths especially for the informal and mathematical language. In mathematics we use so many types of methods, theorems, expressions, symbols, proofs and many things, the all are comes in mathematical language. It is true that mathematics language is not used for the communication but without this we can nothing understand in math. Like algebra which is totally written in symbolic form.<br />
We assumes math as a language and generally mathematical language is used for the better understanding, to represents the mathematical theorems more clearly, give their reason very logically so that everyone can easily understand. Mathematical language have own grammar, syntax, symbols and conventions. Like we use x for expressing theorems. The vocabulary words for the logic are ‘and’, ‘or’, ‘not’, ‘if…then’, ‘for all’, and ‘if and only if’. Symbols for operation are +, -, *, /, ∏, âˆŸ, ∞, √, ∑, and âŒ many more. Mathematical language is only used by the mathematicians for the communicating mathematical thoughts among themselves. (know more about cbse books for class 11, here)<br />
Mathematical language also gives precise information for English like statements like we write a is equal to b in English language but the same statement in mathematical form will be a = b. The informal language in math is only used for understanding the concepts and proofs. Generally this language is not written; usually it is used for spoken and used according to the situations or conditions. In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Mathematical Reasoning. </span></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-52165610714025604862012-04-16T03:21:00.002-07:002013-12-23T04:04:17.909-08:00dependent<div dir="ltr" style="text-align: left;" trbidi="on">
Probability can be considered as a branch of mathematics that deals with the calculation of likelihood of a given event’s occurrence. The occurrence of an event can be described in terms of number between the 1 and o. In the terms of probability, an event with a probability of 1 can be describe as certain or in the same aspect the probability of .5 can be specify as a half odd or half even. In the probability, an event is word which can be defined as a particular work which is performed in continues time period. When an event is performed in a particular time period then to estimate the outcome of that event, we use the concept of probability.<br />
In the simple form we can say that when the number of occurring events is divide by the total number of events plus the number of failure of occurrence are known as probability. In the probability, some of the cases occur which has the two events. It means that in the probability some time two events are performed together at a time. On the basis of probability we can categorized the events in two ways, which are given below:<br />
A) Dependent event<br />
B) Independent event<br />
Dependent events = Dependents are those events in which outcome of the one event affects the outcome of another event. It means to say that the output of the one event depends on the output of another event.<br />
Independent events: independents events are those events which are independent to each other. It means that the outcome of one event not affect the outcome of another event. (know more about cbse sample papers for class 10, here)<br />
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Example: Suppose there is pack of playing card. If in case we pick card of king of heart. In the next time if we pick the card then it is obvious that card is not same to the king of heart. So, we can say that here both events are dependent to each other because in a Dependent Events Probability of the pack of card, there is only one king of heart exists. In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">Informal and mathematical language</span><span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">. </span></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-47224709451795679452012-04-16T01:14:00.002-07:002013-12-23T04:04:33.348-08:00Tools to solve problems<div dir="ltr" style="text-align: left;" trbidi="on">
In mathematics, we know that various types of tools are provided to solve the problem that is related to calculation. Problem solving is the logical process which includes the process of finding the problem and estimate there solution. In the process of solving problem, mathematics provides lots of tools like addition, subtraction, multiplication, division, various types of concept like equation and various types of formulas and theorems. Here we are going to discussing about the most popular Problem Solving Model that are used to solving problem.<br />
Addition: addition is the most basic tool of the mathematics which is used to perform the sum of the different objects like total money in the account, total amount of bill etc.<br />
Example: 4 + 3 = 7<br />
Subtraction: this operation is also a most basic tool to perform the difference between two given objects like how money was left after spending in the market and so on.<br />
Example 15 – 5 = 10<br />
Multiplication and division: these are the most popular that helps in to overcome form the problem of repetitive calculation.<br />
The above are the most basic tools that are used in our daily routine life without applying any concept or rule. But in mathematics, sometime we need to solve to solve those types of problem, where we need to find the value of the unknown variable. On the basis of unknown variable the solution of the problem depends. To solve that kind of problem we required the concept of mathematics that is known as algebra. <b>Algebra </b>is the mathematical concept, which is used to change the problem into equation then by finding the value of variable to solve the problem. (know more about cbse sample paper for class x, here)<br />
Example: a + 5 = 9<br />
In the above we can say that there is an example of equation, where we need to fill the value of a by the appropriate number which satisfy the given equation true. In the various field of science mathematical Tools To Solve Problems, are most widely. In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">dependent. </span></div>
Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-81800162209617834182012-03-27T06:13:00.001-07:002013-12-23T04:04:44.624-08:00predictions<div dir="ltr" style="text-align: left;" trbidi="on">
Hello students, in this blog we are going to learn about the <b>predictions</b> mean guessing for something. The simple definition of the Predictions is that, it is statement that is made about the future or act of predicting (as by reasoning about the future). The act of foretelling and that which is foretold is predictions. In other words when we predict anything that means that those things will be happen in the future and generally all forecasting is based on the experience or knowledge.<br />
A very suitable synonym for the predictions is the Forecast. But between the prediction and the forecast, there is a overlap and why it is? Let’s see....<br />
In prediction we expect some output while forecast contains the possible outcomes.<br />
Predictions is made for the future means we planned for future that what will be happen when several types of conditions will arises. It is not necessary that every prediction will be right some may be wrong. It can also be defined in the terms of uncertainty.<br />
The most important example about the predictions is that some astrologers said before few years that the world will be no more after the 12 December 2012, and everyone heard this statement, but nobody knows the truth, because it is also a prediction that is based on the some knowledge and books.<br />
Predictions can be done in every field like in science, finance, fiction, politics and in many more.<br />
And it can be done by collecting the past and current data of that particular field that which we want to predict and for collecting data there is several methods.<br />
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I hope this information that I gave above will be truly useful for the <b>Grade VI</b> students.<br />
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In the next session we are going to discuss <b>Measures of central tendency and dispersion</b><br />
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Anonymousnoreply@blogger.com0tag:blogger.com,1999:blog-641475699017000668.post-22180179986222086182012-03-27T06:11:00.002-07:002013-12-23T04:05:04.589-08:00Measures of central tendency/dispersion<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Measures of central tendency</b> are define in the statistics in the form of Mean ,median and mode .Measures of central tendency defines the single value for the group of values .Sometimes these are known as the average of the bunch of values .When we talk about the Measures of central tendency it defines that which is the value repeated mostly or which value have the greater frequency .If we take some examples as in a class what is the average height of the students or in a group what is the average age of peoples so these type of questions are solved with the help of Measures of central tendency that are describe as mean , median or mode as gives the single value that define the whole group of values .<br />
<b>Measures of central dispersion</b> is denoted as the gap of the values from the center means it is define the<br />
spreadness of the values .It is defined in terms of Range or variance or standard deviation .If we take some examples to understand the Measures of central dispersion as if the age of students in the class is 9 or 15 then there is lot of variation in the group of values so these are calculated through the Measures of central dispersion .This is helps the students of <b>grade VI</b> for understand how we can measure the central tendency of bunch of data or central tendency of dispersion. (know more about <b>cbse syllabus for class 10</b> , here)<br />
There are some examples as if in a group there are 5 students and their age is 8 , 7 , 6 , 9 , 7 then the central tendency is define as the value having the maximum frequency that is 7 then the answer is 7 or sometimes we talk about the mean that is define also as the average value then it is calculated as<br />
( 8 + 7 + 6 + 9 + 7) / 5 = 37 / 5 = 7 .4 years that is about the 7 in round figures.<br />
In the next session we will discuss about <span class="Apple-style-span" style="color: #222222; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif;">predictions. </span></div>
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