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
simplifying 

 −16 / 36

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,

(b) HCF of 39 and 104 is 13.
Dividing both numerator and denominator by 13,
Q5. Find the value of
Ans: 

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

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,