Question

which of the following will change into a terminating decimal? justify.
13/125,2/9,23/60,7/250​

Answer 1

Answer:

13/125,because 125 = 5³

7/250, because 250 = 5³×2¹

Step-by-step explanation:

Answer 2

Answer:

13/125 and 7/250

Step-by-step explanation:

Terminating Decimal : It is usually defined as a decimal number that contains a finite number of digits after the decimal point.

13/125 = 0.104

2/9 = 0.22222222222

23/60 = 0.383333333

7/250 = 0.028

Here, there are two terminating decimals.

1. 13/125 = 0.104 because it have the repeating decimal as 0.1040000000000000
2. 7/250 = 0.028 because it have the repeating decimal as 0.0280000000000000

For the other two the repeating decimals are 0.22222 and 0.3833333 they don't have the repeating decimal as 0.

Therefore the answers are

13/125 and 7/250