Question

Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11

Answer 1

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.