The decimal expansion of the rational number 6243%2³*5⁴ will terminate after how many decimals
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6243 /2³ x 5⁴
6243 x 2/2⁴ x 5⁴
6243 x 2¹/2³ × 2¹x 5⁴
6243 x 2/2⁴ x 5⁴
6243 ×2 / (2×5)⁴
12486/10^4
1.2486
The prime factorization of the denominator of
6243 /2³ x 5⁴ is of the form 2^m× 5^n.
So it has terminating decimal expansion which terminate after 4 places of decimal.
It terminates after k places of decimals where k c is the larger of m and n.
Hence, it will terminate after 4 decimal places.
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Hope this will help you....
6243 x 2/2⁴ x 5⁴
6243 x 2¹/2³ × 2¹x 5⁴
6243 x 2/2⁴ x 5⁴
6243 ×2 / (2×5)⁴
12486/10^4
1.2486
The prime factorization of the denominator of
6243 /2³ x 5⁴ is of the form 2^m× 5^n.
So it has terminating decimal expansion which terminate after 4 places of decimal.
It terminates after k places of decimals where k c is the larger of m and n.
Hence, it will terminate after 4 decimal places.
==================================================================
Hope this will help you....
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