NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.1

NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.1 are the part of NCERT Solutions for Class 7 Maths (Rationalised Contents). Here you can find the NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.1.

• NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.1
• NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.2

NCERT Solutions for Class 7 Maths Chapter 8 Rational Numbers Ex 8.1 (Rationalised Contents)

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
Let us convert the given rational numbers as a denominator 5 + 1 = 6, we get

Hence, the five rational numbers between −1 and 0 are −5/6, −2/3, −1/2, −1/3 and −1/6.

(ii) −2 and −1

Let us convert the given rational numbers as a denominator 5 + 1 = 6, we get

(iii) −4/5 and −2/3
Let us convert the given rational numbers as a denominator 5 × 3 = 15, we get

Since there is only one integer, i.e., -11 between -12 and -10, we have to find equivalent rational numbers of -12/15 and -10/15.

(iv) 1/2 and 2/3
Let us convert the given rational numbers in their equivalent rational numbers, we get

 

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:
The rational numbers represented by P, Q, R and S are
7/3, 8/3, −4/3 and −5/3, respectively.

 

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:

       (iv) -8/10 

Solution:

     (iv) -8/10 = -4/5                 [HCF of 8 and 10 = 2]

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:

Related Links:

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NCERT Solutions for Maths Class 9

NCERT Solutions for Maths Class 10

NCERT Solutions for Maths Class 11

NCERT Solutions for Maths Class 12