Which is greater in each of the following: - 3 4 , 2 - 3

To compare two rational numbers, we make the denominators positive and equal. Then, we compare the numerators. The rational number with the greater numerator is greater. Multiply both the numerators and denominators of the given rational numbers by the same number, such that the denominators of both the given number become equal to the LCM of the denominators of the given rational numbers. Thus, we have, - 3 4 = - 3 × 3 4 × 3 = - 9 12 And, 2 - 3 = 2 × 4 - 3 × 4 = - 8 12 We know that - 8 > - 9 . So, we get, 2 - 3 > - 3 4 Therefore, 2 - 3 is greater.

Which is greater in each of the following: - 1 4 , 1 4

To compare two rational numbers, we make the denominators positive and equal. Then, we compare the numerators. The rational number with the greater numerator is greater. We have - 1 4 , 1 4 Here, the denominators are same By comparing numerators, we get 1 > - 1 So, we get, 1 4 > - 1 4 Therefore, 1 4 is greater.

Which is greater in each of the following: - 3 2 7 , - 3 4 5

First we convert given mixed fractions into improper fractions, we get: - 3 2 7 = - 21 + 2 7 = - 23 7 And, - 3 4 5 = - 15 + 4 5 = - 19 5 To compare two rational numbers, we make the denominators positive and equal. Then, we compare the numerators. The rational number with the greater numerator is greater. Multiply both the numerators and denominators of the given rational numbers by the same number, such that the denominators of both the given number become equal to the LCM of the denominators of the given rational numbers. Thus, we have, - 23 7 = - 23 × 5 7 × 5 = - 105 35 And, - 19 5 = - 19 × 7 5 × 7 = - 133 35 We know that - 105 > - 133 . So, we get, - 23 7 > - 19 5 Thus, - 3 2 7 > - 3 4 5 Therefore, - 3 2 7 is greater.

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START UP MATHEMATICS>Chapter 4 - Rational Numbers>SOME NCERT TEXTBOOK QUESTIONS

Rahul Sofat Solutions for Chapter: Rational Numbers, Exercise 7: SOME NCERT TEXTBOOK QUESTIONS

Author:Rahul Sofat

Rahul Sofat Mathematics Solutions for Exercise - Rahul Sofat Solutions for Chapter: Rational Numbers, Exercise 7: SOME NCERT TEXTBOOK QUESTIONS

Attempt the free practice questions on Chapter 4: Rational Numbers, Exercise 7: SOME NCERT TEXTBOOK QUESTIONS with hints and solutions to strengthen your understanding. START UP MATHEMATICS solutions are prepared by Experienced Embibe Experts.