Question

Without actually performing the long division process, state and justify whether

the following rational numbers will have a terminating decimal expansion:

(i) 125/

441

(ii) 987/

10500​

Answer 1

Answer:

i) not terminating

ii) terminates

Step-by-step explanation:

Hey mate,here you go....

For terminating it should have 2n×5m

i) 125/ 3²×7² = it won't terminate as it has its denominator as 3 and 7

ii) 987/ 2²×5³×3×7 = as 987 can be cancelled by 3×7 we get 47/ 2²×5²

▪︎Hence it terminates

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