Question

find decimal expansion of
987/10500

Answer 1

Without actually performing long division, find if 987/10500 will have terminating or non-terminating decimal expansion. Give reasons for your answer

987 = 3 × 7 × 47.

10500 = 2 × 2 × 3 × 5 × 5 × 5 × 7.

987 / 10500 = 47 / 500.

987 / 10500 is terminating decimal.

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Answer 2

HEY MATE HERE IS YOUR ANSWER ✍✍

you can first reduce this fraction by dividing both numerator and denominator buy the greatest

common factor of 987 and 10500 using ,

GCF(987,10500)=21

$\frac{987 \div 21}{10500 \div 21} = \frac{47}{500}$

WE KNOW THAT,

$\frac{47}{500}$

IS THE SAME AS ,

$47 \div 500$

THEN USING ,

LONG DIVISION FOR 47 DIVIDED BY 500 and rounding to a max of 3 decimal places gives us,

$0.094$

HOPE YOU UNDERSTOOD ✌❣❣