Solution of NCERT Exercise 9.1 question 3
Rational Numbers 7th Math
Solution of NCERT Exercise 9.1 question 3
In this section we will learn to find the equivalent rational numbers to the given rational number. In this NCERT Exercise 9.1 from question (3)(i) to question (3)(iii) four equivalent rational numbers to the given rational number are to be found.
NCERT Exercise 9.1: Question Number (3) Give four rational numbers equivalent to:
(i) (– 2)/7
Solution :
Given rational number = ( – 2)/7
Thus, four equivalent rational numbers = ?
By multiplying or dividing the numerator and denominator of a rational number by the same number, another equivalent rational number is obtained.
Thus, – 2/7 = – 2 × 2/7 × 2 = – 4)/14
And, – 2/7 = – 2 × 3/7 × 3 = – 6/21
And, – 2/7 = – 2 × 4/7 × 4 = – 8/28
And, – 2/7 = – 2 × 5/7 × 5 = – 10/35
Thus, four equivalent rational numbers to the given rational number are
– 4/14, – 6/21, – 8/28 and – 10/35 Answer
Question (3) (ii) 5/( – 3)
Solution :
Given, rational number is 5/( – 3)
Thus, four equivalent rational number = ?
An equivalent rational number is obtained if the numerator and denominator of a rational number are multiplied or divided by the same number.
Thus, the first equivalent rational number to the given rational number
5/– 3 = 5 × 2/– 3 × 2 = 10/– 6
The second equivalent rational number to the given rational number
5/– 3 = 5 × 3/– 3 × 3 = 15/– 9
The third equivalent rational number to the given rational number
5/– 3 = 5 × 4/– 3 × 4 = 20/– 12
The fourth equivalent rational number to the given rational number
5/– 3 = 5 × 5/– 3 × 5 = 25/– 15
Thus, four equivalent rational numbers to the given rational number are
10/– 6 , 15/– 9, 20/– 12 and 25/– 15 Answer
Question (3) (iii) 4/9
Solution :
Given rational number 4/9
Thus, four equivalent rational number = ?
By multiplying or dividing the numerator and denominator of a rational number by the same number, another equivalent rational number is obtained.Thus, the first equivalent rational number to the given rational number
4/9 = 4 × 2/9 × 2 = 8/18
The second equivalent rational number to the given rational number
4/9 = 4 × 3/9 × 3 = 12/27
The third equivalent rational number to the given rational number
4/9 = 4 × 4/9 × 4 = 16/36
The fourth equivalent rational number to the given rational number
4/9 = 4 × 5/9 × 5 = 20/45
Thus, the four equivalent rational numbers to the given rational number are
8/18, 12/27, 16/36 and 20/45 Answer
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