The decimal representation of rational number. 32/ 50
Answers
Answer:
Rational numbers can be represented in decimal forms rather than representing in fractions. They can easily be represented as decimals by just dividing numerator ‘p’ by denominator ‘q’ (as rational numbers is in the form of p/q).
A rational number can be expressed as a terminating or nonterminating, recurring decimal.
For example:
(i) 5/2 = 2.5,
2/8 = 0.25,
7 = 7.0, etc., are rational numbers which are terminating decimals.
Answer:
(i), (ii), (v), (vi) and (viii)
Step-by-step explanation:
The rational not having denominator as multiple of 2
m
×5
n
will be non terminating.
(1)
16
7
=
2×2×2×2
7
− denominator is multiple of 2
m
×5
n
hence terminating.
(2)
125
23
=
5×5×5
23
-- denominator is multiple of 2
m
×5
n
hence terminating.
(3)
14
9
=
7×2
9
-- denominator is not multiple of 2
m
×5
n
hence non-terminating
(4)
45
32
=
3×3×5
32
-- denominator is not multiple of 2
m
×5
n
hence non-terminating.
(5)
50
43
=
5×5×2
43
-- denominator is multiple of 2
m
×5
n
hence terminating.
(6)
40
17
=
2×2×2×5
17
-- denominator is multiple of 2
m
×5
n
hence terminating.
(7)
75
61
-- denominator is not multiple of 2
m
×5
n
hence non-terminating.
(8)
250
123
=
5×5×5×2
123
-- denominator is multiple of 2
m
×5
n
hence terminating.
(i), (ii), (v), (vi) and (viii) will have terminating decimal.