NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 8: Rational Numbers - Problems and Solutions
Question 66

Question. 66

66. Match the following:

Column IColumn II
(i) \(\dfrac{a}{b} \div \dfrac{a}{b}\)(a) \(-\dfrac{a}{b}\)
(ii) \(\dfrac{a}{b} \div \dfrac{c}{d}\)(b) \(-1\)
(iii) \(\dfrac{a}{b} \div (-1)\)(c) 1
(iv) \(\dfrac{a}{b} \div \dfrac{-a}{b}\)(d) \(\dfrac{bc}{ad}\)
(v) \(\dfrac{b}{a} \div (\dfrac{d}{c})\)(e) \(\dfrac{ad}{bc}\)

Answer:

(i) ↔ (c)

(ii) ↔ (e)

(iii) ↔ (a)

(iv) ↔ (b)

(v) ↔ (d)

Detailed Answer with Explanation:

(i) \(\dfrac{a}{b} \div \dfrac{a}{b} = 1\).

(ii) \(\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}\).

(iii) \(\dfrac{a}{b} \div (-1) = -\dfrac{a}{b}\).

(iv) \(\dfrac{a}{b} \div \dfrac{-a}{b} = -1\).

(v) \(\dfrac{b}{a} \div \dfrac{d}{c} = \dfrac{bc}{ad}\).

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 8: Rational Numbers – Problems and Solutions | Detailed Answers