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

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

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

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EXERCISE 2 (A)

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:
Largest two digit = 99
Smallest, number of four digit = 1000 Now numerator = 99 and denominator = 1000
∴ Rational number = $$\frac { 99 }{ 1000 }$$

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:

EXERCISE 2 (B)

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:

EXERCISE 2 (C)

Question 1.

Solution:

Question 2.

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:

EXERCISE 2 (D)

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:

EXERCISE 2 (E)

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: