Question

Prime factors of the denominator of a rational number with the decimal expansion 44.123 are:​

Answer 1

Answer:

44123/100

100= (5)^2×(2)^2

Answer 2

SOLUTION

TO DETERMINE

Prime factors of the denominator of a rational number with the decimal expansion  44.123 are

EVALUATION

Here the given number 44.123

The number can be rewritten as

$\sf \: 44.123 = \dfrac{44123}{1000}$

Now

Numerator = 44123

Denominator = 1000

We now prime factorise the denominator of the given number

$\sf \: 1000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5$

$\sf \implies \: 1000 = {2}^{3} \times {5}^{3}$

Thus Prime factors of the denominator of a rational number with the decimal expansion  44.123 are 2 and 5

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