Rational Numbers Class 7 Worksheet

# Rational Numbers Class 7 Worksheet

Rational Numbers Class 7 Worksheets play a vital role in revising the maths concepts.

## Rational Numbers Class 7 Worksheet with Answers

1. Write the following statements as true or false.

a. Every rational number is a fraction.

b. Every fraction is a rational number.

c. Corresponding to every rational number, there is a point on the number line.

d. Corresponding to every point on the number line, there is a rational number.

e. Two rational numbers are equivalent if they have the same standard form.

f. 9/35 can be represented as a terminating decimal.

g. 5/64 can be represented as a non-terminating decimal.

h. The decimal representation of a rational number in standard form terminates if the denominator has 2 or 5 or both as prime factors.

2. Express 2/9 as a rational number with

a. numerator 8

b. numerator –12

c. denominator 54

d. denominator –81

3. Find three rational numbers equivalent to each one of the following rational numbers.

a. 2/5

b. −3/11

c. −5/−13

d. 4/−9

4. Express each of the following in decimal form.

a. 12/100

b. 8/25

c. 5/8

d. 17/50

5. Which of the following rational numbers can be represented as non-terminating decimals?

a. 15/26

b. 2/50

c. 6/250

d. 45/180

a. 2/5 + 3/10

b. 4/15 + 8/25

c. (-7/10) + (-3/15)

d. 15/25 + (-33/50)

7. Subtract the following.

a. 4/5 - 7/10

b. 9/12 - 7/24

c. (-8/18) - (-4/54)

d. 12/25 - (-9/50)

8. Simplify:

a. 2/3 + (-3/5)

b. 2/5 + 7/25

c. 4/9 + 15/-27

d. −4/19 + 5/76

9. Add and express the sum as a mixed fraction if required:

a. ½ + 1/3 – 4/5

b. 2/3 - ¾ − 4/5

c. 9/30 + 3/10 – 9/25

d. 4/5 - 10/20 + 7/15

10. The sum of two rational numbers is –1/2. If one of the numbers is −9/5, find the other number.

11. The sum of two rational numbers is 9. If one of the numbers is 4/9, find the other number.

12. What number should be added to –2 to get 4/9 ?

13. Multiply.

a. 5/7 by 7/10

b. 13/18 by 36/78

c. 10/14 by 7/10 by

d. 2/3 by 18/20

14. Find the reciprocal of the following rational numbers.

a. 5/11

b. -7/3

c. 9/19

d. -12/25

15. Divide.

a. 4 by 1/5

b. 3/5 by 49/25

c. −3/4 by 9/16

d. 7/8 by 28/24

16. The product of two rational numbers is 1/5. If one of the numbers is –4/9, find the other rational number.

17. By what number should −4/5 be multiplied to get 12/35?

18. From a rope of length 24 m 50 cm, pieces of equal length are cut off. How many pieces are cut off, if each piece is 7/8 metres long?

1. a. False       b. True

c. True        d. True

e. True        f. False

g. False       h. True

2. a. 8/36        b. -12/54

c. 12/54       d. 18/-81

3. a. 4/10, 6/15, 8/20

b. -6/22, -9/33, -12/44

c. 10/26, 15/39, 20/52

d. 8/-18, 12/-27, 16/-36

4. a. 0.12          b. 0.32

c. 0.625        d. 0.34

5. a. Non-terminating

b. Terminating

c. Terminating

d. Non-terminating

6. a. 7/10        b. 44/75

c. -9/10       d. -3/50

7. a. 1/10         b. 11/24

c. -10/27      d. 33/50

8. a. 1/15         b. 17/25

c. -1/9           d. -11/76

9. a. 1/30         b. -53/60

c. 6/25         d. 23/30

10. 9/10

11. 77/9

12. 22/9

13. a. ½           b. 1/3

c. ½            d. 3/5

14. a. 11/5       b. -3/7

c. 19/9       d. -25/12

15. a. 20          b. 15/49

c. -4/3        d. ¾

16. -9/20

17. -3/7

18. 28 pieces

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