Question

determine , without actually dividing , which of the following rational number can be named ,by a terminating decimal and by a repeating decimal
1)7/20
2) 1/6
3) 1/12
4)3 47/160

Answer 1

Hey dear friend

1. 7/20 is a terminating decimal expansion because its denominator can be written on the form 2^m*5^n

2. 1/6 is a repeating decimal expansion because its denominator can't be written in the form of 2^m*5^n.

3. 1/12 is a repeating decimal expansion because its denominator can't be written in the form of 2^m*5^n.

4. 347/160 is a terminating decimal expansion because its denominator can be written in the form of 2^m*5^n.


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