Class 7 Maths Chapter 1 Question Answers - Rational Numbers

Q1. Do −4 / 9 and −16 / 36  represent the same number?
Ans: −4 / 9 and −16 / 36
−4 / 9 = −4 × 4 / 9 × 4 = −1636
Or −1636 = −16 ÷ 4 / 36 ÷ 4 = −49
Hence, both represent the same number.

Q2. List five rational numbers between −4 and −3.
Ans:
−4 x 6 / 6 = −24 / 6
−3 × 6 / 6 = −18 / 6
The rational numbers are


Q3. Give four equivalent numbers for 38.
Ans:


Q4. Rewrite the following rational numbers in the simplest form.
(a) 12 / 36
(b) 39 / 104
Ans: 
(a) HCF of 12 and 36 is 12.
Dividing both numerator and denominator by 12,
12÷12 / 36÷12
=13

(b) HCF of 39 and 104 is 13.
Dividing both numerator and denominator by 13,
39÷13 / 104÷13
= 38

Q5. Find the value of
Ans: 

Q6. Find the product of 15/22 x 11/5
Ans: 15/22  x 11/5
= 3/2
=

Q7. Find the value of 5/8 + 1/3
Ans: LCM of 8 and 3 is 24

Therefore,


Q8. Find the value of
(a) 3/4 + 1/2
(b) 5/8 + 3/4
Ans:
(a) LCM of 4  and 2 is 4

Therefore,

(b) LCM of 4 and 8 is 8

Therefore,

Q9. Simplify
(a) 2/5 - 1/2
(b) 1/5 - 3/4
Ans:
(a) LCM of 5 and 2 is 10

Therefore,

(b) LCM of 5 and 4 is 20

Therefore,

Q10. Find the product of
(a)
(b)
Ans:
(a)

(b) 

Q11. Insert six rational numbers between  3 / 8 and 3 / 5.
Ans: Convert both the denominators into the same denominator.

Therefore,