The number of decimal places after which the decimal expansion of the rational number 23/(22 X 5) will terminate, is:
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Step-by-step explanation:
[m > n , m = 2]
23/2²× 5¹ = 23 × 5¹ /2²× 5¹ × 5¹
23/2²× 5¹ = 23 × 5¹ /2²× 5²
= 115/(2×5)²
= 115/ 10²
= 115 / 100
= 1.15
The decimal expansion of 23/2²× 5¹ is 1.15 .
Hence, 23/2²× 5¹ has terminating decimal expansion. The decimal expansion of 23/2²× 5¹ terminate after 2 places of decimal.
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