Question

Which of the following rational number have terminating decimal (A)16/225 (B)5/18 (C)2/21 (D)7/250.

Answer 1

HEY THERE!!!

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As we know that a number terminates when it is in the form P/ Q

where Q can be written in form 2^m × 5^n .

So according to this , option D) 7 / 250 is the correct answer.

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Hope this helps!!!!

Answer 2

Given: Four rational numbers $\frac{16}{225}, \frac{5}{18}, \frac{2}{21} \ and \ \frac{7}{250}$

To find: Which of the given rational numbers have terminating decimal expansion

Solution:

Terminating decimal expansion refers to the decimal expansion in which number of digits after the decimal point are finite.

The decimal expansions of the given fractions are:

$\frac{16}{225} = 0.711111111111$

$\frac{5}{18} = 0.2777777777777$

$\frac{2}{21} = 0.0952380952380$

$\frac{7}{250} = 0.028$

It can be seen that only $\frac{7}{250}$ has the decimal expansion in which number of digits after the decimal point are finite.

Hence,  $\frac{7}{250}$ has terminating decimal expansion.