Question

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​

Answer 1

thus we can say that this no. will terminate after 6 decimal points

Answer 2

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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