Verify that - x = x by taking 6 11 , - 5 14 , - 12 13 .

Given, 6 11 , - 5 14 , - 12 13 Absolute value means using a modulus function which would turn any number inside of the function to a positive number. If x = 6 11 , - x = - 6 11 = - 6 11 - x = - 6 11 = 6 11 and x = 6 11 = 6 11 If x = - 5 14 , - x = - - 5 14 = 5 14 - x = 5 14 = 5 14 and x = - 5 14 = 5 14 If x = - 12 13 , - x = - - 12 13 = 12 13 - x = 12 13 = 12 13 and x = - 12 13 = 12 13 Therefore, - x = x Hence, the given statement is true.

Verify that x × y = x × y for each: x = 2 3 , y = 5 4

Given, x = 2 3 , y = 5 4 If a b and c d are any two rational numbers, then a b × c d = a × c b × d . First condition x × y 2 3 × 5 4 = 2 × 5 3 × 4 = 10 12 = 10 12 Second condition x × y 2 3 × 5 4 = 2 3 × 5 4 2 × 5 3 × 4 = 10 12 Therefore, 10 12 = 10 12 Hence, the statement is true.

Verify that x × y = x × y for each: x = - 12 125 , y = - 25 72

Given, x = - 12 125 , y = - 25 72 - 12 125 × - 25 72 If a b and c d are any two rational numbers, then a b × c d = a × c b × d . First condition x × y - 12 125 × - 25 72 = - 12 × - 25 125 × 72 = - 300 9000 = 300 9000 = 3 90 Second condition x × y - 12 125 × - 25 72 = 12 125 × 25 72 12 125 × 25 72 = 12 × 25 125 × 72 = 300 9000 = 3 90 Therefore, 3 90 = 3 90 Hence, the statement is true.

E M B I B E

New Global Mathematics - 7>Chapter 3 - Operations on Rational Numbers>EXERCISE 3.5

Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Operations on Rational Numbers, Exercise 5: EXERCISE 3.5

Author:Dr Pooranmal & Ashfaq A Khan

Dr Pooranmal Mathematics Solutions for Exercise - Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Operations on Rational Numbers, Exercise 5: EXERCISE 3.5

Attempt the practice questions on Chapter 3: Operations on Rational Numbers, Exercise 5: EXERCISE 3.5 with hints and solutions to strengthen your understanding. New Global Mathematics - 7 solutions are prepared by Experienced Embibe Experts.