Question

Write decimal expandion of 21/8

Answer 1

(i) 16=2

4

16

7

=

2

4

7

=

2

4

×5

0

7

. So,

16

7

has a terminating decimal expansion.

(ii) 150=2×3×5

2

150

13

=

2×3×5

2

13

Since it is not in the form

2

m

×5

n

p

,

150

13

has a non-terminating and recurring decimal expansion.

(iii)

75

−11

=

3×5

2

−11

Since it is not in the form

2

m

×5

n

p

.

75

−11

has a non-terminating and recurring decimal expansion.

(iv)

200

17

=

8×25

17

=

2

3

×5

2

17

. So

200

17

has a terminating decimal expansion

my answer is correct but the keyboard problem so..