NCERT Class 7 Mathematics

RATIONAL NUMBERS 179 9.7 COMPARISON OF RATIONAL NUMBERS We know how to compare two integers or two fractions and tell which is s ...

180 MATHEMATICS
The case of pairs of negative rational numbers is similar.To compare two negative rational numbers, we compare ...

RATIONAL NUMBERS 181 Thus, we find that number of integers between two integers are limited (finite). Will the same happen in th ...

182 MATHEMATICS EXAMPLE 4 List three rational numbers between – 2 and – 1. SOLUTION Let us write –1 and –2 as rational numbers w ...

RATIONAL NUMBERS 183 (iii) (^1234) , , , ,..... 6121824 (iv) (^2246) , , , ,..... 3369 Give four rational numbers equivalent to ...

184 MATHEMATICS Which is greater in each of the following: (i) (^25) , 32 (ii) (^54) , 63 (iii) (^32) , 43 (iv) (^11) , 44 (v) ...

RATIONAL NUMBERS 185 Similarly, 75 88 + would be What do you get? Also, 75 75? 88 8 Are the two values same? So, we find t ...

186 MATHEMATICS Similarly, 220 2 2 33 3 3 + +⎛⎞ ⎜⎟⎝⎠. In the case of integers, we call – 2 as the additive inverse of 2 and 2 as ...

RATIONAL NUMBERS 187 She tried this for rational numbers also and found, 53 5()^319 78 7 8 56 +. Both obtained the same differen ...

188 MATHEMATICS So,we find that while multiplying a rational number by a positive integer, we multiply the numerator by that int ...

RATIONAL NUMBERS 189 What will be the reciprocal of (^68) ?and? 11 5 Product of reciprocals The product of a rational number wit ...

190 MATHEMATICS EXERCISE 9.2 Find the sum: (i) 511 44 +⎛⎞ ⎜⎟⎝⎠ (ii) 53 35 + (iii)^922 10 15 + (iv) 35 11 9 + (v)^8 ()^2 19 57 ...

RATIONAL NUMBERS 191 WHAT HAVE WE DISCUSSED? A number that can be expressed in the form p q, wherep andq are integers and q≠ 0 ...

192 MATHEMATICS To multiply two rational numbers, we multiply their numerators and denominators separately, and write the prod ...

10.1 INTRODUCTION You are familiar with a number of shapes. You learnt how to draw some of them in the earlier classes. For exam ...

194 MATHEMATICS You can use any one of the properties regarding the transversal and parallel lines to make this construction usi ...

PRACTICAL GEOMETRY 195 Step 5 Place the pointed tip of the compasses at C and adjust the opening so that the pencil tip is at D ...

196 MATHEMATICS EXERCISE 10.1 Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler ...

PRACTICAL GEOMETRY 197 the three lines. See the following example: EXAMPLE 1 Construct a triangle ABC, given that AB = 5 cm, BC ...

198 MATHEMATICS Step 5 A has to be on both the arcs drawn. So, it is the point of intersection of arcs. Mark the point of inters ...