Contents

## Selina Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers

**Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 2 Rational Numbers**

### Rational Numbers Exercise 2A – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Write down a rational number whose numerator is the largest number of two digits and denominator is the smallest number of four digits.

Solution:

Question 2.

Write the numerator of each of the following rational numbers:

Solution:

Question 3.

Write the denominator of each of the following rational numbers:

Solution:

Question 4.

Write down a rational number numerator (-5) x (-4) and denominator (28 – 27) x (8 – 5).

Solution:

Question 5.

Solution:

Question 6.

Separate positive and negative rational numbers from the following :

Solution:

Question 7.

Find three rational numbers equivalent to

Solution:

Question 8.

Which of the following are not rational numbers :

Solution:

Question 9.

Express each of the following integers as a rational number with denominator 7 :

(i) 5

(ii) -8

(iii) 0

(iv) -16

(v) 7

Solution:

Question 10.

Express \(\frac { 3 }{ 5 }\) as a rational number with denominator:

Solution:

Question 11.

Express \(\frac { 4 }{ 7 }\) as a rational number with numerator :

Solution:

Question 12.

Find x, such that:

Solution:

Question 13.

Express each of the following rational numbers to the lowest terms :

Solution:

Question 14.

Express each of the following rational numbers in the standard form.

Solution:

### Rational Numbers Exercise 2B – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Mark the following pairs of rational numbers on the separate number lines :

Solution:

Question 2.

Compare:

Solution:

Question 3.

Compare:

Solution:

Question 4.

Arrange the given rational numbers in ascending order :

Solution:

Question 5.

Arrange the given rational numbers in descending order:

Solution:

Question 6.

Fill in the blanks :

Solution:

### Rational Numbers Exercise 2C – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Add:

Solution:

Question 2.

Add:

Solution:

Question 3.

Evaluate:

Solution:

Question 4.

Evaluate:

Solution:

Question 5.

Subtract :

Solution:

Question 6.

Subtract :

Solution:

Question 7.

The sum of two rational numbers is \(\frac { 11 }{ 24 }\). If one of them is \(\frac { 3 }{ 8 }\), find the other.

Solution:

Question 8.

The sum of two rational numbers is \(\frac { -7 }{ 11 }\). If one of them is \(\frac { 13 }{ 24 }\), find the other.

Solution:

Question 9.

The sum of two rational numbers is -4. If one of them is \(-\frac { 13 }{ 12 }\) , find the other.

Solution:

Question 10.

What should be added to \(-\frac { 3 }{ 6 }\) to get \(-\frac { 11 }{ 24 }\) ?

Solution:

Question 11.

What should be added to \(\frac { -3 }{ 5 }\) to get 2?

Solution:

Question 12.

What should be subtracted from \(\frac { -4 }{ 5 }\) to get 1?

Solution:

Question 13.

The sum of two numbers is \(-\frac { 6 }{ 5 }\). If one of them is -2, find the other.

Solution:

Question 14.

What should be added to \(\frac { -7 }{ 12 }\) to get \(\frac { 3 }{ 8 }\)?

Solution:

Question 15.

What should be subtracted from \(\frac { 5 }{ 9 }\)to get \(\frac { 9 }{ 5 }\) ?

Solution:

### Rational Numbers Exercise 2D – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Evaluate:

Solution:

Question 2.

Multiply:

Solution:

Question 3.

Evaluate:

Solution:

Question 4.

Find the cost of 3 \(\frac { 1 }{ 2 }\) m cloth, if one metre cloth costs ₹325 \(\frac { 1 }{ 2 }\).

Solution:

Question 5.

A bus is moving with a speed of 65 \(\frac { 1 }{ 2 }\) km per hour. How much distance will it cover in 1 \(\frac { 1 }{ 3 }\) hours.

Solution:

Question 6.

Divide:

Solution:

Question 7.

Evaluate:

Solution:

Question 8.

The product of two numbers is 14. If one of the numbers is \(\frac { -8 }{ 7 }\), find the other.

Solution:

Question 9.

The cost of 11 pens is ₹3 \(\frac { 2 }{ 3 }\). Find the cost of one pen.

Solution:

Question 10.

If 6 identical articles can be bought for ₹2 \(\frac { 6 }{ 17 }\). Find the cost of each article.

Solution:

Question 11.

By what number should \(\frac { -3 }{ 8 }\) be multiplied so that the product is \(\frac { -9 }{ 16 }\) ?

Solution:

Question 12.

By what number should \(\frac { -5 }{ 7 }\) be divided so -15 that the result is\(\frac { -15 }{ 28 }\) ?

Solution:

Question 13.

Evaluate :

Solution:

Question 14.

Seven equal piece are made out of a rope 5 of 21 \(\frac { 5 }{ 7 }\) m. Find the length of each piece.

Solution:

### Rational Numbers Exercise 2E – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Evaluate:

Solution:

Question 2.

The sum of two rational numbers is \(\frac { -3 }{ 8 }\). If one of them is \(\frac { 3 }{ 16 }\), find the other,

Solution:

Question 3.

The sum of two rational numbers is -5. If one of them is \(\frac { -52 }{ 25 }\) , find the other.

Solution:

Question 4.

What rational number should be added to \(-\frac { 3 }{ 16 }\) to get \(\frac { 11 }{ 24 }\)

Solution:

Question 5.

What rational number should be added to \(-\frac { 3 }{ 5 }\) to get 2?

Solution:

Question 6.

What rational number should be subtracted from \(-\frac { 5 }{ 12 }\)to get \(\frac { 5 }{ 24 }\)

Solution:

Question 7.

What rational number should be subtracted from \(\frac { 5 }{ 8 }\) to get \(\frac { 8 }{ 5 }\) ?

Solution:

Question 8.

Evaluate:

Solution:

Question 9.

The product of two rational numbers is 24. If one of them is \(-\frac { 36}{ 11 }\), find the other.

Solution:

Question 10.

By what rational number should we multiply \(\frac { 20 }{ -9 }\) ,so that the product may be \(\frac { -5 }{ 9 }\) ?

Solution: