Question

with out actual dividing check whether the rational numbers are terminating decimal or not? if they are terminating then write into decimal form 32/450 28/350 57/125 75/12​

Answer 1

Step-by-step explanation:

the division is terminatiing only when its denominator is in the form 2^m×5^n

(a) 32/450

32/2×3²×5²

16/3²×5²

hence, the denominator also has 3 in it that's why this rational no. has a non-terminating repeating decimal expansion

(b) 28/350

28/2×5²×7

4 /2×5²

2 /5² or 2/2^0×5²

hence, the denominator is in the form 2^m×5^n that's why the decimal expansion of this rational no. is terminating

28/350=0.08

(c) 57/125

57/5³ or 57/2^0×5³

hence, the denominator is in the form 2^m×2^n that's why the decimal expansion of this rational no. is terminating

57/125=0.456

(d) 75/12

75/2²×3

25/2² or 25/2²×5^0

hence the denominator is in the form 2^m×5^n that's why the decimal expansion of this rational no. is terminating

75/12=0.16

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please mark me as brainliest ♥️