Question

after how many decimal expansion of 47/2×2×2×5×5 terminate

Answer 1

47/2×2×2×5×5

=47/25×8

=47/200

=23.5/100

=0.235

decimal expansion will terminate at 3 decimal places

Answer 2

Answer:

$Decimal\: Expansion\:of\\]\frac{47}{2\times 2\times 2\times 5\times5}\\terminates \: after\:three \: decimal\\places$

Step-by-step explanation:

$\frac{47}{2\times 2\times 2\times 5\times5}\\=\frac{47}{2^{3}\times 5^{2}}$

$Denominator\: is\: of\: the\\ form \:of \:2^{n}\times 5^{m}\\Therefore, \: it \:is \:a\: terminating\\decimal$

$Now,\\\frac{47}{2^{3}\times 5^{2}}\\=\\\frac{47\times 5}{2^{3}\times 5^{3}}\\=\frac{235}{(2\times 5)^{3}}\\=\frac{235}{(10)^{3}}\\=0.235$

Therefore,

$Decimal\: Expansion\:of\\]\frac{47}{2\times 2\times 2\times 5\times5}\\terminates \: after\:three \: decimal\\places$

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