Write the denominator of the rational number257/500 in the form 2 m x 5 n, m and n are negative integers Hence write its decimal expansion without actual division.

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Mathematics

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6 July, 13:31

Write the denominator of the rational number257/500 in the form 2 m x 5 n, m and n are negative integers Hence write its decimal expansion without actual division.

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Camryn Mcknight · Answer 1

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514 / (2*5) ^3 = 514/10^3 = 0.514