Maths Class 7 Rational Numbers Chapter 8 Exercise 8.1 Question Answer

Solutions For All Chapters Maths Class 7

Ex 8.1 Class 7 Maths Question 1.
List five rational numbers between:

(i) -1 and 0

(ii) -2 and -1

(iii) -4/5 and -2/3

(iv) 1/2 and 2/3

Solution:

(i) -1 and 0
Converting each of rational numbers as a denominator 5 + 1 = 6, we have

Hence, the required five rational numbers between -1 and 0 are -5/6, -2/3, -1/2, -1/3 and -1/6
(ii) -2 and -1
Converting each of rational numbers as a denominator 5 + 1 = 6, we have

(iii) -4/5 and -2/3
Converting each of the rational numbers as a denominator 5 × 3 = 15, we have

Since there is only one integer i.e. -11 between -12 and -10, we have to find equivalent rational numbers.

(iv) 1/2 and 2/3
Converting each of the rational numbers in their equivalent rational numbers, we have

Ex 8.1 Class 7 Maths Question 2.
Write four more rational numbers in each of the following patterns:

Solution:

Ex 8.1 Class 7 Maths Question 3.
Give four rational numbers equivalent to:

Solution:

Ex 8.1 Class 7 Maths Question 4.
Draw a number line and represent the following rational numbers on it:

Solution:

Ex 8.1 Class 7 Maths Question 5.
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Solution:

Rational numbers represented by P, Q, R and S.
7/3, 8/3, -4/3 and -5/3 respectlvely.

Ex 8.1 Class 7 Maths Question 6.
Which of the following pairs represent the same rational number?

Solution:

Ex 8.1 Class 7 Maths Question 7.
Rewrite the following rational numbers in the simplest form:

Solution:

Ex 8.1 Class 7 Maths Question 8.
Fill in the boxes with the correct symbol out of >, < and =.

Solution:

Ex 8.1 Class 7 Maths Question 9.

Which is greater in each of the following:

Solution:

Ex 8.1 Class 7 Maths Question 10.
Write the following rational numbers in ascending order:

Solution: