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Fractions, Decimals and Rational Numbers > Exercise 2.7

Exercise 2.7


1. Write any three equivalent rational numbers to each of the following

(i)

23

Solution:

2 x 23 x 2

=

2 x 33 x 3

=

2 x 43 x 4

=

(ii)

38

Solution:

-3 x 28 x 2

=

-3 x 38 x 3

=

-3 x 48 x 4

=

2. What is the equivalent rational number for 1536 with

(i)

denominator 12

Solution:

-15 ÷ 336 ÷ 3

=

(ii)

numerator -75

Solution:

-15 x 536 x 5

=

3. Mark the following rational numbers on the number line.

(i)

12

Solution:

(ii)

34

Solution:

(iii)

32

Solution:

(iv)

103

Solution:

4 Find whether the following statements are true or false.

(i) Every integer is a rational number and vice versa

(ii) In a rational number of the form pq, q must be a non zero integer.

(iii) Every decimal number can be represented as a rational number.

(iv) 5/7 , 6/7 , 7/7 are equivalent rational numbers.

(v) Equivalent rational numbers of a positive rational numbers are all positive

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