The number of decimal places after which the decimal expansion of the rational number 91 divided by 2 power of 6 multiplied with 5 power of 5 will terminate is
(a) 6 (b) 5
c)11 (d) 8
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thus we can say that this no. will terminate after 6 decimal points
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91/(2⁶ * 5⁵) will terminate after 6 Decimal Places
Step-by-step explanation:
91/(2⁶ * 5⁵)
= 7 * 13 * /(2⁶ * 5⁵)
= 7 * 13 * 5 / ( 2⁶ * 5⁵ * 5)
= 7 * 13 * 5 / ( 2⁶ * 5⁶)
= 7 * 13 * 5 / ( (2 *5)⁶)
= 7 * 13 * 5 / ( 10⁶)
= 455/10⁶
It will terminate after 6 Decimal Places
= 0.000455
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