Question

1. Which of the following will represent a non-terminating repeating decimal? a. 34÷13, b.1÷3 ,c.7÷8d.13÷34​

Answer 1

Answer:

Everyone is non terminating except c.

Step-by-step explanation:

Terminating rational no. are of the form 2m and 5n where m and n are non negative integers.

Answer 2

34÷13,  1÷3  , 13÷34​ are non terminating decimal

Step-by-step explanation:

Which of the following will represent a non-terminating repeating decimal

A simple fraction is terminating decimal

if denominator has only prime factors 2 & 5

A simple fraction is non terminating decimal

if denominator has any prime factor other than 2 & 5

34/13

= 2 * 17 / (13 * 1)

13 is a factor other than 2 & 5

Hence non terminating decimal

1/3

3 is a factor other than 2 & 5

Hence non terminating decimal

7/8

= 7/(2 * 2 * 2)

only 2 as prime factor

Hence terminating decimal

13/34

= 13/(2 * 17)

17 is a factor other than 2 & 5

Hence non terminating decimal

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