Math, asked by kanime, 1 year ago

.After how many digits the decimal representation of 323/2*2*2*2*5*5*5 will terminate?

Answers

Answered by maddymax123456
1
after four digits as 323/2*2*2*2*5*5*5=323/2000=0.1615
hope it helps please mark brainliest

kanime: can u plz tell me how
maddymax123456: bcoz 2*2*2*2*5*5*5=2tothepower4multipliedby5tothepower3
maddymax123456: so here 2 is four times and 5 is 3 times so to get both equal we multiply up and down by 5
maddymax123456: after multiplying by 5 it becomes 2tothepower4multipliedby5tothepower4
maddymax123456: on multiplying we get 10tothepower4 and on multiplying above we get 1615
maddymax123456: so 1615/10^4=0.1615 as 10 is 4 times so the place is shifted four times
maddymax123456: if understood then please mark brainliest
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