The decimal expansion of rational number 11/2^3 5^2 will
terminate after
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11/(2³ * 5²) will terminate after 3 places of decimal
Step-by-step explanation:
11/(2³ * 5²)
= 11/(2² * 2 * 5²)
= 11/( (2 * 5)² * 2
= 11/(10² * 2)
= 11 * 5 /(10² * 2 * 5)
= 55 /(10² * 10)
= 55/10³
= 0.055
11/(2³ * 5²) will terminate after 3 places of decimal
Learn more:
(a) terminating after one decimal place
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