the number of decimal places after which the decimal expansion of rational number 14587 by 1250 will terminate
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denominator = 1250
- 1250 = 5×5×5×5×2
- 1250 = 5³2¹
Thus multiply the fraction by 2²/2²
Thus it would not change the original value of the fraction (as 2²/2² = 1) and
the denominator =
- 5³ × 2¹ × 2²
- 5³ ,× 2³
- (10)³ = 1000
Thus the rational number will terminate after 3 digit of decimals .
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