Without actual division , find which of the following rational numbers are terminating decimals. (1) 5/32 (11) 11/24 (111) 27/80.
Answers
Answered by
117
Hii friend,
(1) 5/32
Denominator of 5/32 is 32
And 32 = 2^5
Therefore,
32 has no prime factors other than 2 .
So,
5/32 is a terminating decimal.
(2) 11/24
Denominator of 11/24 is 24
And 24 = 2³ × 3
Thus,
24 has a prime factor 3 , which is other than 2 and 5 .
Therefore,
11/24 is not a terminating decimal.
(3) 27/80
Denominator of 27/80 is 80
And 80 = 2⁴ × 5
Thus,
80 has no prime factors other than 2 and 5.
Therefore,
27/80 is a terminating decimal.
HOPE IT WILL HELP YOU..... :-)
(1) 5/32
Denominator of 5/32 is 32
And 32 = 2^5
Therefore,
32 has no prime factors other than 2 .
So,
5/32 is a terminating decimal.
(2) 11/24
Denominator of 11/24 is 24
And 24 = 2³ × 3
Thus,
24 has a prime factor 3 , which is other than 2 and 5 .
Therefore,
11/24 is not a terminating decimal.
(3) 27/80
Denominator of 27/80 is 80
And 80 = 2⁴ × 5
Thus,
80 has no prime factors other than 2 and 5.
Therefore,
27/80 is a terminating decimal.
HOPE IT WILL HELP YOU..... :-)
Answered by
33
Answer:
Step-by-step explanation:
(1) 5/32
Denominator of 5/32 is 32
And 32 = 2^5
Therefore,
32 has no prime factors other than 2 .
So,
5/32 is a terminating decimal.
(2) 11/24
Denominator of 11/24 is 24
And 24 = 2³ × 3
Thus,
24 has a prime factor 3 , which is other than 2 and 5 .
Therefore,
11/24 is not a terminating decimal.
(3) 27/80
Denominator of 27/80 is 80
And 80 = 2⁴ × 5
Thus,
80 has no prime factors other than 2 and 5.
Therefore,
27/80 is a terminating decimal
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