Question

Without actually performing the long division state whether the following rational number will have a termination or non terminating repeating decimal expansion 251/1300 and 32/1250​

Answer 1

Answer:

non terminating

Step-by-step explanation:

Answer 2

Answer:

a) 251 / 1300

b) 32 / 1250

Step-by-step explanation:

a) 251 / 1300

1300 = 2 × 2 × 5 × 5 × 13

= 2² × 5² × 13

≠ 2^m × 5^n

So, 251 / 1300 is a NON - TERMINATING decimal.

b) 32 / 1250

1250 = 5 × 5 × 5 × 5 × 2

= 5⁴ × 2

≠ 2^m × 5^n

So, 32 / 1250 is a NON - TERMINATING decimal.

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