Question

Convert 5 over 8 to a decimal and tell whether it terminates or repeats.

5.8, a number that terminates
5.8 with a repeating bar over 8., a number that repeats
0.625 with a repeating bar over 625., a number that repeats
0.625, a number that terminates

Answer 1

@DallasCowboys88 @ganeshie8 @ILovePuppiesLol @welshfella @mathmate please help me

Answer 2

The easiest way to convert a fraction to a decimal is to divide the numerator by the denominator. This can be done easily on a calculator:)

Answer 3

So for this question, simply divide 5 by 8:)

Let's see your answer:)

Answer 4

i know what the decimal is its 0.625 but im having trouble seeing if it terminates or repeats

Answer 5

i think its D

Answer 6

Repeats means that the same number goes on forever. If it just stops at 0.625, then it terminates:)

Answer 7

ok thanks so its D

Answer 8

Correct:)

Answer 9

@awesomemiss
You can check if the decimal repeats without actually doing a division!
If the denominator is made up of powers of 2 and/or 5, the fraction does not repeat.
If it contains any factor other than 2 or 5, the resulting fraction repeats.

Example:
7/50 does not repeat, because 50=2*5*5, i.e. product of powers of 2 and 5.
39/384 repeats, because 384=128*3=2^7*3. Since we have a factor of 3 (not 2, not 5), the fraction repeats.