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Practice Time 3A

1. Which of the following are rational numbers? Also, give reason.

−5 −11 0 −37
(a) (b) (c) (d) (e) –11
11 −47 7 0
2. Write down the numerator and denominator of each of the following rational numbers.
−4 16 0 7
(a) (b) (c) (d)
23 − 29 − 67 12
3. Identify the positive and negative rational numbers from the following.
7 56 19 5
(a) (b) (c) (d)
− 25 − 113 24 14
−12 1 −52 −37
(e) (f) (g) (h)
19 − 28 −55 −94
4. Represent the following rational numbers on a number line.
8 −5 −3 −2 1
(a) (b) (c) (d) (e)
11 11 7 −5 − 5
5. Find three rational numbers equivalent to each of the following.
5 7 2
(a) (b) (c)
17 8 11
6. Express 5 as a rational number with denominator 72.
− 6
−3
7. Express as a rational number with numerator 21.
10
−72
8. Express as a rational number with denominator –9.
81
9. Express 48 as a rational number with numerator –8.
66
10. Express the following rational numbers into their standard form.

(a) −70 (b) −48 (c) 112 (d) 36
136 −72 − 144 44
11. Write the absolute value of the following rational numbers.
−11 4 −18 4
(a) (b) (c) (d)
13 − 7 −23 9

Comparison of Rational Numbers

To compare two rational numbers, use the following steps:
Step 1: Firstly, convert each rational number into its standard form by making denominators
positive, if required.

Step 2: Find the LCM of the denominators of the rational numbers if denominators are unequal.
Step 3: Express each of the rational numbers to an equivalent rational number with the denominator
equal to the LCM.

59 Rational Numbers