Question

Convert 7 over 8 to a decimal and tell whether it terminates or repeats.

Answer 1

7 over 8 can be seen as

`(7)/(8)`
or 7÷8.

This is what this question will look like on a calculator.

`7 / 8 = 0.875`
As you can see, you will only get 0.875 so your answer will be terminating.

Terminating = Answer Stops
ex.) 0.784 or 0.25

Repeating = Answer Repeats
ex.) 0.5555... or 1.33...

Answer 2

Answer is 0.875, terminates

Explanation:

`(7)/(8)`

Divide the numbers using long division

7 is less than 8. so we add decimal at the top and then add 0 at the bottom and start dividing.

0.875

------------------------

8 70

64

------------------- Subtract

60

56

---------------------- subtract

40

40

------------------------subtract

0

Remainder is 0. So it is not a repeating decimal

The decimal terminates

Answer is 0.875