RATIONAL NUMBERS 5 1.2.2 Commutativity (i) …

RATIONAL NUMBERS 5 1.2.2 Commutativity (i) Whole numbers Recall the commutativity of different operations for whole numbers by filling the following table. Operation Numbers Remarks Addition 0 + 7 = 7 + 0 = 7 Addition is commutative. 2 + 3 = ... + ... = .... For any two whole numbers a and b, a + b = b + a Subtraction ......... Subtraction is not commutative. Multiplication ......... Multiplication is commutative. Division ......... Division is not commutative. Check whether the commutativity of the operations hold for natural numbers also. (ii) Integers Fill in the following table and check the commutativity of different operations for integers: Operation Numbers Remarks Addition ......... Addition is commutative. Subtraction Is 5 – (–3) = – 3 – 5? Subtraction is not commutative. Multiplication ......... Multiplication is commutative. Division ......... Division is not commutative. (iii) Rational numbers (a) Addition You know how to add two rational numbers. Let us add a few pairs here. 2 5 1 5 2 1 and 3 7 21 7 3 21 − −  + = + =     So, 2 5 5 2 3 7 7 3 − −  + = +    Also, 6 8 5 3 − −  +    = ... and – 8 6 ... 3 5   − + =     Is 6 8 8 6 5 3 3 5 − − − −       + = +             ?

A rational number is such that when you multiply it by 5/2 and add2/3 to the product you get -7/12 find the number

2x+5= 10

Find examples from your surroundings where lines insect set at right angle

Convert the following ratio to percentage 3:4

3+4{

Pythagoras theoram ???

Find the measures of the angles made by the intersecting lines at the vertices of an equivalent triangle

Class 8th ex .5.1

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A streamer goes down stream from one point to another in 7 hours it covers the same distance upstream in 8 hours if the speed of the streamer is 2km/hr find the speed of the streamer in still water and the distance between the point