The decimal representation of 6/1250 will terminate after how many palace of decimal?
Answers
Answered by
24
6/1250 will terminate after 4 decimal places
as denominator has 5^4 *2^1 as factors
as denominator has 5^4 *2^1 as factors
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Answered by
57
IT WILL TERMINATE AFTER 4 PLACE
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IN DETAIL:
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6/1250
ON FACTORIZING DENOMINATOR WE GET
= 6/5⁴ x2
SINCE POWER OF 2 IS 1 AND POWER OF 5 IS 4 WE WILL MULTIPLY BOTH NUMERATOR AND DENOMINATOR BY 2³
=6x2³ / 5⁴ x2x2³
=6x2³ / 5⁴x2⁴
=6x8 / (10)⁴
=48 / 10000
=0.0048
-----------------------------------------------------------
hope it helps ........
if then mark me BRAINLIEST PLS............................;P
@OOOIRKIOOO
-------------------
IN DETAIL:
-------------------
6/1250
ON FACTORIZING DENOMINATOR WE GET
= 6/5⁴ x2
SINCE POWER OF 2 IS 1 AND POWER OF 5 IS 4 WE WILL MULTIPLY BOTH NUMERATOR AND DENOMINATOR BY 2³
=6x2³ / 5⁴ x2x2³
=6x2³ / 5⁴x2⁴
=6x8 / (10)⁴
=48 / 10000
=0.0048
-----------------------------------------------------------
hope it helps ........
if then mark me BRAINLIEST PLS............................;P
@OOOIRKIOOO
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