Respuesta :
7/8 = 0. 875
A and B are incorrect since it is not repeating. So now we are left with C and D. D is the correct answer because after the 0, there are 3 decimal places. And after 3 decimal places, it terminates. Thus, the answer is D: It is a decimal that terminates after 3 decimal places.
A and B are incorrect since it is not repeating. So now we are left with C and D. D is the correct answer because after the 0, there are 3 decimal places. And after 3 decimal places, it terminates. Thus, the answer is D: It is a decimal that terminates after 3 decimal places.
Answer:
D: It is a decimal that terminates after 3 decimal places.
Step-by-step explanation:
We are asked to choose the correct statement, which describes the decimal equivalent of 7/8.
First of all let us convert 7/8 in decimal form.
[tex]\text{Decimal form}=\frac{7}{8}=0.875[/tex]
Now let us see our given choices one by one.
A. It is a decimal with a repeating digit of 5.
Repeating decimal is a fractional number in which one or more numbers after the decimal point repeats indefinitely.
We can clearly see that after decimal we got 875 and they are non-repeating, so option A in not correct choice.
B. It is a decimal with a repeating digit of 75.
We have already seen that digits after decimal are 875 and they are non-repeating, therefore, option B is incorrect as well.
C. It is a decimal that terminates after 2 decimal places.
Terminating decimal means there must be finite number of digits after the decimal point.
We can see that the given decimal terminates after 3 decimal places, therefore, option C is incorrect indeed.
D. It is a decimal that terminates after 3 decimal places.
We have already seen that there are 3 finite digits after our decimal, therefore, option D is the correct choice.
