Question

Without actual division, show that each of the rational numbers given below is expressible as a
terminating decimal : 44/125​

Answer 1

Answer:

sjtsgjskgwtjqfjwyotipdgksgjsgkra5ushkfjlfhktpHDfjdlkxcndcnvfjlnvfljdgkfhldhmxv.xlhfgnxjlvxfodcndlhxkgdkhdkhdkgfnvslhdkyfhkdgjfhlduldulfluduotupdkhtlutoudpufulyi>xgkdgkskgeyieyistisitstiwyksykyjsykskyskysyisiysiysiysyisyiskydkydkysykskysykdykkdkys

Answer 2

$here \: denominator \: = 125 = {5}^{3} \: \: \: \: \: \: \: \: \:$

5 is not a factor of 24, so given fraction is in its simplest form.

It can be written as:

$\frac{24}{125} = \: \frac{24}{ {2}^{0} \times {5}^{3} } which \: is \: similar \: to \: the \: form \: of \: \\ ( {2}^{m} \times {5}^{n} )$

Hence, the given rational number is terminating .

and its decimal expansion is

24 = 0.192

125

hope it helps you .