Question

EXERCISE 1.4
1. Without actually performing the long division state whether the following
numbers will have a terminating decimal expansion or a non-terminating
decimal expansion
​

Answer 1

Answer:

I) 13

3125

3125 = 5x5x5x5x5

It has 5 as a factor

therefore it is terminating

ii) 17

8

8 = 2x2x2

It has 2 as a factor

therefore it's terminating

iii) 64

455

455= 5x7x13

it has 13 and 7 along with 5

therefore it's non-termination repeating

iv) 15

1600

=3

320

it has 2 and 5 in its factor

therefore it is terminating

v) 29

343

343= 7x7x7

it does not have 2 or 5 as a factor

therefore it's non terminating

vi)23

2x2x2x5

it has both 2 and 5 as a factor

therefore it's terminating

vii) 129

2x2x5^7x 7^5

it has both 2 and 5 along with 7 in its a factor therefore it's not terminating repeating

viii) 6

15

=2

5

it has 5 as a factor

therefore it's terminating

ix) 35

50

= 7

10

it has 5 and 2 as a factor

therefore it's terminating

x) 77

210

=11

30

it has 2 and 5 along with 3

Therefore its non terminating repeating

Hope it will help you