Question

without doing actual division find whether 32_45 and 123_250 have terminating decimal representation​

Answer 1

Step-by-step explanation:

Correct option is

B

(i), (ii), (v), (vi) and (viii)

The rational not having denominator as multiple of 2

m

×5

n

will be non terminating.

(1)

16

7

=

2×2×2×2

7

− denominator is multiple of 2

m

×5

n

hence terminating.

(2)

125

23

=

5×5×5

23

-- denominator is multiple of 2

m

×5

n

hence terminating.

(3)

14

9

=

7×2

9

-- denominator is not multiple of 2

m

×5

n

hence non-terminating

(4)

45

32

=

3×3×5

32

-- denominator is not multiple of 2

m

×5

n

hence non-terminating.

(5)

50

43

=

5×5×2

43

-- denominator is multiple of 2

m

×5

n

hence terminating.

(6)

40

17

=

2×2×2×5

17

-- denominator is multiple of 2

m

×5

n

hence terminating.