Which statement describes the decimal equivalent of 7/8? a: lt is a decimal with a repeating digit of 5. b: lt is a decimal with a repeating digit of 75. c: lt is a decimal that terminates after 2 decimal places. d: it is a decimal that terminates after 3 decimal places.

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.  

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.  

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step-by-step explanation: