Compare the number in the given pair of number. - 3 - 5 , 12 20

Given, - 3 - 5 , 12 20 As we now that - 3 - 5 = 3 5 If two rational number have different denominator, then first make denominators equal then compare. Take the LCM of the denominator of rational number LCM of 5 and 20 is 20 Multiply the numerator and denominator of rational number by a number such that the denominator equalizes with the LCM. So, 3 × 4 5 × 4 = 12 20 12 × 1 20 × 1 = 12 20 Compare the numerator 12 = 12 Thus, - 3 - 5 = 12 20

Compare the number in the given pair of number. - 4 5 , - 5 4

Given, - 4 5 , - 5 4 Absolute value of any rational number is always positive. - 4 5 = 4 5 - 5 4 = 5 4 If two rational number have different denominator, then first make denominators equal then compare. We can use cross multiplication to find the equivalent fractions. Multiply 4 in numerator and denominator of rational number 4 5 and multiply 5 in numerator and denominator of rational number 5 4 and then compare the numerator. So, 4 × 4 5 × 4 = 16 20 5 × 5 4 × 5 = 25 20 Compare the numerator 16 < 25 Thus, - 4 5 < - 5 4

Compare the number in the given pair of number. 5 7 , - 15 21

Given, 5 7 , - 15 21 Absolute value of any rational number is always positive. 5 7 = 5 7 - 15 21 = 15 21 If two rational number have different denominator, then first make denominators equal then compare. Take the LCM of the denominator of rational number LCM of 7 and 21 is 21 Multiply the numerator and denominator of rational number by a number such that the denominator equalizes with the LCM. So, 5 × 3 7 × 3 = 15 21 15 × 1 21 × 1 = 15 21 Compare the numerator 15 = 15 Thus, 5 7 = - 15 21

Compare the number in the given pair of number. - 8 - 9 , - 3 9

Given, - 8 - 9 , - 3 9 Absolute value of any rational number is always positive. - 8 - 9 = 8 9 - 3 9 = 3 9 Denominator of both the rational number are equal Compare the numerator 8 > 3 Thus, - 8 - 9 > - 3 9

E M B I B E

Secondary Mathematics Class -VII>Chapter 1 - Rational Numbers>BRAIN TEASERS

Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Rational Numbers, Exercise 8: BRAIN TEASERS

Author:Principal Mohan Lal & J.C. Nijhawan

Principal Mohan Lal Mathematics Solutions for Exercise - Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Rational Numbers, Exercise 8: BRAIN TEASERS

Attempt the free practice questions on Chapter 1: Rational Numbers, Exercise 8: BRAIN TEASERS with hints and solutions to strengthen your understanding. Secondary Mathematics Class -VII solutions are prepared by Experienced Embibe Experts.