Without doing any actual division, find which of the following rational number are terminating decimal representation:(1) 716716 (2) 23125(3) 914(4) 3245 (5) 4350(6) 1740(7) 6175(8) 123 250 - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
(1), (3), (5), (6) and (7)
B
(1), (2), (5), (6) and (8)
C
(1), (3), (5), (6) and (8)
D
(1), (2), (5), (6) and (7)

Solution:

Concept- In mathematics, rational numbers are expressed in pq format. Where q is non-zero. It is one of the most important math subjects. Fractions with a non-zero denominator are rational numbers.
Condition for terminating decimal is-

If the prime factors in the denominator of the lowest form of the fraction contain only 2 and / or 5 or no prime factors at all, then the fraction is an end decimal.
Let us check the condition for the given fractions
1)

, Terminating decimal
2)

Terminating decimal
3)

Non Terminating
4)

Not-Terminating
5)

Terminating decimal
6)

Not-Terminating
7)

Not-Terminating
8)

Terminating decimal
Hence, the correct answer is option 2) (1), (2), (5), (6) and (8)

Without doing any actual division, find which of the following rational number are terminating decimal representation:

(1) $\frac{7}{16}$ 716

(2) $\frac{23}{125}$

(3) $\frac{9}{14}$

(4) $\frac{32}{45}$

(5) $\frac{43}{50}$

(6) $\frac{17}{40}$

(7) $\frac{61}{75}$

(8) $\frac{123}{250}$

Solution:

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