write decimal expansion of 13 by 3125 without division
Attachments:
Answers
Answered by
3
Given number is 13/3125. ------ (1)
On factorizing the denominator, we get 3125 = 5^5.
Therefore the Equation can be written as
13/3125 = 13/ 5^5
= 13/5^5
On multiplying and dividing with 2^5, we get
= 13/5^5 * (2^5/2^5)
= 13 * 2^5/5^5 * 2^5
= 13 * 32/(10)^5
= 416/100000
= 0.00416.
Hope this helps!
On factorizing the denominator, we get 3125 = 5^5.
Therefore the Equation can be written as
13/3125 = 13/ 5^5
= 13/5^5
On multiplying and dividing with 2^5, we get
= 13/5^5 * (2^5/2^5)
= 13 * 2^5/5^5 * 2^5
= 13 * 32/(10)^5
= 416/100000
= 0.00416.
Hope this helps!
Similar questions