Question

after how many digits will the decimal expansion of 3/4 comes to an end
a)1 b)2 c)3 d)4​

Answer 1

Answer:

b) 2 is the correct answer.

Answer 2

$Given \: rational \: number \: \frac{3}{4} \\= \frac{3}{2^{2}} \\= \frac{3\times 5^{2}}{2^{2}\times 5^{2}} \\= \frac{3\times 25}{(2\times 5)^{2}} \\= \frac{75}{(10)^{2}} \\=\frac{75}{100} \\= 0.75\: ( Terminating \: decimal )$

Therefore.,

$\green { (After \: two \: digits \: the \: decimal }\\\green { expansion \: of \: \frac{3}{4} \: comes \:to}\\\green { an \: end) }$

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