Write the decimal expansion of 13/3125 without actual division
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293
Solution:-
3125 = 5*5*5*5*5 = 5⁵
13/3125
= 13/5⁵
= (13*2⁵)/(5⁵*2⁵) {Multiplying the numerator as well as the denominator with 2⁵}
= (13*32)/(10⁵)
= 416/10⁵
= 0.00416
Answer.
3125 = 5*5*5*5*5 = 5⁵
13/3125
= 13/5⁵
= (13*2⁵)/(5⁵*2⁵) {Multiplying the numerator as well as the denominator with 2⁵}
= (13*32)/(10⁵)
= 416/10⁵
= 0.00416
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112
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