Question

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

Answer 1

Answer:

The prime factors = 2, 3, 5, 7, 11, 13, 17,... Which is not equal to zero. Hence, the prime factor of denominator of a rational number is in the form of is called rational number.

Hope this helps u

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

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

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

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

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