Answer :
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.
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.