Chapter 1 Rational Numbers

Extra Questions Very Short Answer Type

Question 1.

Question 4.

Question 5.

What is the multiplicative identity of rational numbers?

Solution:

1 is the multiplicating identity of rational numbers.

Question 6.

What is the additive identity of rational numbers?

Solution:

0 is the additive identity of rational numbers.

Solution:

Short Answer Type

Question 13.

Calculate the following:

Solution:

Question 14.

Represent the following rational numbers on number lines.

Solution:

Solution:

Question 16.

Show that:

Solution:

Question 17.

Solution:

Question 20.

Let O, P and Z represent the numbers 0, 3 and -5 respectively on the number line. Points Q, R and S are between O and P such that OQ = QR = RS = SP. (NCERT Exemplar)

What are the rational numbers represented by the points Q, R and S. Next choose a point T between Z and 0 so that ZT = TO. Which rational number does T represent?

Solution:

As OQ = QR = RS = SP and OQ + QR + RS + SP = OP

therefore Q, R and S divide OP into four equal parts.

Verify:

(i) a + (b + c) = (a + b) + c (Associative property of addition)

(ii) a × (b × c) – (a × b) × c (Associative property of multiplication)

Solution:

Higher Order Thinking Skills (HOTS)

Question 22.

Question 23.

Question 24.

Fill in the blanks:

(a) Numbers of rational numbers between two rational numbers is ……….

Solution: