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1. The sum of the rational numbers -4/19 and -2/57 is _____
(a) -14/57
(b) 5/22
(c) -20/57
(d) 14/27
Solution:
= -4/19+(-2/57)
= (-12-2)/57
= -14/57
2. The Reciprocal of a Positive Rational Numbers is
a) is a positive rational number
(b) is a negative rational number
(c) can be either a positive or a negative rational number
(d) does not exist
Solution:
a) is a positive rational number
3. The Product of Two Rational Numbers is 15/9. If one of the numbers is -3, find the other?
(a) -5/9
(b) 3/12
(c) 12/35
(d) €“8/10
Solution:
(a) -5/9
-3*x= 15/9
x = (15/9)/-3/1
= 15/9*1/-3
= 15/-27
= -5/9
4. Fill in the Blanks 4/12 ÷ (_____) = -32/18
(a) -20/32
(b) -11/19
(c) -15/14
(d) -3/16
Solution:
(d) -3/16
(4/12)/x = -32/18
(4/12)/(-32/18)=x
x= 4/12*18/-32
= (4*18)/(12*-32)
= 72/-384
= -3/16
5. Which of the following forms a pair of equivalent rational numbers?
(a) 35/40 and 25/15
(b) -25/50 and 50/-77
(c) -8/16 and -24/48
(d) 9/72 and -3/24
Solution:
(c) -8/16 and -24/48
Reducing the given fractions we get the same rational number therefore, they are Equivalent Rational Numbers.
6. The Value of {-4/12 × 20/-2} is _____
(a) -7/11
(b) -7/21
(c) -6/12
(d) 10/3
Solution:
(d) 10/3
= -4/12*20/-2
= (-4*20)/(12*-2)
= -80/-24
= 80/24
= 10/3
7. Which of the following rational numbers is in the standard form?
(a) -7/26
(b) -26/52
(c) €“12/16
(d) 48/-92
Solution:
(a) -7/26
The above option is said to be in its standard form as it has no other factors in common alongside the denominator is positive.
8. Simplify 2/5 + -3/5 + 8/5 + -11/5?
(a) -1/4
(b) -12/60
(c) -4/5
(d) €“ 5/30
Solution:
(c) -4/5
= 2/5 + -3/5 + 8/5 + -11/5
= (2-3+8-11)/5
= (10-14)/5
= -4/5
9. Which among the following rational numbers is the greatest?
(a) 2/9
(b) -5/3
(c) -7/10
(d) 11/-22
Solution:
(a) 2/9
Among all the options since 2/9 is positive and the rest are negative numbers, it is greater.
10. What number should be added to 2/8 to get -1/12?
(a) -7/4
(b) -1/3
(c) 13/72
(d) 12/30
Solution:
(b) -1/3
2/8+x = -1/12
x = -1/12-2/8
= (-2-6)/24
= -8/24
= -1/3