explain how would you find the decimal expansion of 31/40 without actual division
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by breaking the denominator in its factor form and if 2 and 5 are the only factors of denominators then the given no. is terminating decimal otherwise if denominator has a factor other than 2 and 5 then the given no. has a non terminating recurring decimal.In both the cases if any one of the above condition is fulfilled then it is a rational no.
HERE,
the given no. is 31/40
the denominator is 40.
40 =2×2×2×5
here 40 has no other factor than 2 and 5.
so the rational no.31/40 has a terminating decimal expansion which means that there will fixed no.s after the decimal.
HOPE IT HELPS YOU.
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HERE,
the given no. is 31/40
the denominator is 40.
40 =2×2×2×5
here 40 has no other factor than 2 and 5.
so the rational no.31/40 has a terminating decimal expansion which means that there will fixed no.s after the decimal.
HOPE IT HELPS YOU.
PLS MARK ME AS THE BRAINLIEST IF YOU LIKED MY ANSWER.
U CAN START FOLLOWING ME FOR THE CLARIFICATION OF YOUR MORR DOUBTS.
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