Question

Has the rational number 441/22*55*72 a terminating or non terminating decimal expansion.

Answer 1

Step-by-step explanation:

• so the denominator of the fraction can be brought in the form (2∆m*5∆n)

Answer 2

The rational number 441/2²5⁵7² a terminating decimal expansion.

Given:

The rational number 441/2²5⁵7²  

To find:

Check whether the given number is a terminating or non-terminating decimal expansion.  

Solution:

Condition used:

If a rational number p/q is a terminating decimal expansion then the denominator 'p' will be in the form of 2ᵃ 5ᵇ  

The rational number 441/2²5⁵7² can be simplified as follows

=> 441/2²5⁵7² = 9/2²5⁵  

Hence, the denominator is in the form of 2ᵃ 5ᵇ  

Therefore,

The rational number 441/2²5⁵7² a terminating decimal expansion.

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