Rational Numbers Class 7 Worksheet
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Rational Numbers Class 7 Worksheet
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 –12. 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?
MCQs Questions for Class 7 Maths
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