Without using long division, show that the rational number 21/1120 has a terminating decimal expansion . Also find its decimal expansion
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go through the solution.
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21/1120= 3×7/7×160
=3/160
=3/2^5×5^1
=p/q
Therefore the given number is terminating decimal.
=3/2^5×5^1
=3×5^4/2^5×5^4×5^1
=3×5^4/2^5×5^5
=1875/(10)^5
=1875/100000
=0.01875
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