after how many decimal places will the chemical expansion of the number 13/3125 terminate?
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Answered by
3
After 5 digit decimal place
13/3125=0.00416
13/3125=0.00416
Alice123456789:
wlcm
but why
yes you write
we are not supposed to use calculator. derive it from number of 5 s in the denominator.
Answered by
4
decimal expansion of 13/3125 = 13 / [5*5*5*5*5]
Division by each 5 will add one decimal place. So after 5 decimal places, the decimal expansion of the number will terminate.
13/5 = 2.6
2.6/5 = 0.52
0.52/5 = 0.104
0.104/5 = 0.0208
0.0208/5 = 0.00416
Division by each 5 will add one decimal place. So after 5 decimal places, the decimal expansion of the number will terminate.
13/5 = 2.6
2.6/5 = 0.52
0.52/5 = 0.104
0.104/5 = 0.0208
0.0208/5 = 0.00416
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