Question

without actually performing division, state whether the following rational numbers will have a non-terminating, repeating decimal form.
1)13/3125. 2)11/12​

Answer 1

Step-by-step explanation:

3125=5^5

since 3125 is in form of 5^m

therefore 13/3125 is a terminating decimal

12=2*2*3

since 12=2^m*3^1

therefore 11/12 is a non terminating decimal. because it is not in form of 2^m5^n

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