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Rational Numbers Class 7 Worksheet |
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
6. Add the following.
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?
ANSWERS
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
Maths Quiz
Maths Quiz for Class 7 Rational Numbers
MCQs Questions
MCQs Questions for Class 7 Maths
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2. HCF and LCM questions for class 7
3. Fraction questions for class 7
4. Decimals class 7 worksheets
5. Exponents and powers class 7 worksheet
7. Algebraic expressions worksheet for class 7
8. Linear equations class 7 worksheet
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10. Percentage worksheet for class 7
11. Profit and loss class 7 worksheet
12. Simple interest worksheet for class 7
13. Lines and angles class 7 worksheets
14. Triangle and its properties class 7 worksheets
15. Congruence of triangles class 7 worksheets
16. Symmetry worksheet for class 7
17. Constructions worksheet for class 7
18. Perimeter and area class 7 worksheets
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