## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) The product of two rational numbers is a ……….

(ii) Subtraction of rational numbers is …….. commutative.

(iii) The rational number lies ……. of zero on the number line.

(iv) Division of rational numbers is ……… associative.

(v) ÷ 0 is ……..

(vi) Negative of a rational number is called its ………

(vii) Multiplicative identity of rational numbers is ……….

(viii) Multiplication of rational numbers is ……. over addition.

(ix) Division of a rational number by a non-zero rational number is a ………..

(x) The rational number which is additive inverse of itself is …………

Solution:

Question 2.

State whether the following statements are true (T) or false (F):

(i) is the additive inverse of .

(ii) Every integer is a rational number.

(iii) Zero has its multiplicative inverse.

(iv) Every rational number is an integer.

(v) Division of two rational numbers is alwasy closed.

(vi) Non-terminating, non-recurring decimal numbers are rational numbers.

(vii) 0 is the multiplicative identity of rational numbers.

(viii) Non-terminating recurring decimal numbers are not rational numbers.

(ix) Subtraction of two rational numbers is not associative.

(x) Reciprocal of 1 is 1.

(xi) The multiplicative inverse is also called a reciprocal.

(xii) Between two different rational numbers, there are infinitely many number of rational numbers.

Solution:

**Multiple Choice Questions**

Choose the correct answer from the given four options (3 to 18):

Question 3.

Additive inverse of is

(a)

(b)

(c)

(d)

Solution:

Question 4.

Multiplicative inverse of is

(a)

(b)

(c)

(d) None of these

Solution:

Question 5.

Sum of a rational number and its additive inverse is

(a) 1

(b) 0

(c) -1

(d) None of these

Solution:

Question 6.

Rational numbers are not closed under

(a) addition

(b) subtraction

(c) multiplication

(d) division

Solution:

Question 7.

0 ÷ is equal to

(a)

(b)

(c) 0

(d) not defined

Solution:

Question 8.

÷ 0 is equal to

(a)

(b)

(c) 0

(d) not defined

Solution:

Question 9.

is called

(a) commutative property

(b) associative property

(c) distributive property

(d) None of these

Solution:

Question 10.

Multiplication of a non-zero rational number and its reciprocal is

(a) 0

(b) 1

(c) -1

(d) None of these

Solution:

Question 11.

Product of rational number and its additive inverse is

(a) 0

(b) 1

(c)

(d)

Solution:

Question 12.

Sum of rational number and its reciprocal is

(a)

(b)

(c)

(d)

Solution:

Question 13.

Sum of two rational numbers is 0, if one ofthem is , then other is

(a)

(b)

(c)

(d)

Solution:

Question 14.

Product of two rational numbers is 1, if one of them is , then other is

(a)

(b)

(c)

(d) None of these

Solution:

Question 15.

Rational number represented by the point P on the number line is

(a)

(b)

(c)

(d)

Solution:

Question 16.

What should be subtracted from to get ?

(a)

(b)

(c)

(d)

Solution:

Question 17.

Reciprocal of a negative number is

(a) positive

(b) negative

(c) can not say

(d) does not exist

Solution:

Question 18.

Which of the following statement is true?

Solution:

**Value Based Questions**

Question 1.

Ram donated of his salary to an orphanage, of his salary spent on food, of salary on rent and electricity and of his salary on telephone. This month he donated ₹ 5000 in Prime Minister relief fund for Uttarakhand victims. He was left with ₹ 3000 with him, find his monthly salary. Should we donate the money for needy people? What values are being promoted?

Solution:

Question 2.

In an Examination of the total students used unfair means and out of which caught red handed while cheating. If 5 students caught red handed then find the total number of students appeared in exam.

Why should we not use unfair means in an examination?

What values are being promoted?

Solution:

**Higher Order Thinking Skills (HOTS)**

Question 1.

Area ol a square is 4 sq. in more than of the area of a rectangle. If the area of square is 64 sq. m, then find the dimensions of the rectangle, given that breadth is of length.

Solution:

Question 2.

Rahul can do of a certain work in 6 days while Suresh can do of the same work in 9 days. They started work together but after 7 days Rahul left the work. Find in how many days Suresh can complete the remaining work?

Solution: