Math, asked by anshulbossyt, 1 month ago

Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5​

Answers

Answered by aslucky2007
1

Answer:

option a is correct

Step-by-step explanation:

Answered by isha00333
1

Given: rational number\[ = 44.123\].

To find: the prime factors of the denominator of the given rational number.

Solution:

Know that, a rational number is a number that can be expressed in the form of \[\frac{p}{q}\], where \[q \ne 0\] .

Write the given rational number in the form of \[\frac{p}{q}\], where \[q \ne 0\] .

\[44.123 = \frac{{44123}}{{1000}}\]

Observe that, the denominator of \[\frac{{44123}}{{1000}}\] is 1000.

Write the factors of 1000.

\[1000 = {2^3} \times {5^3}\]

Therefore, the prime factors of the denominator of a rational number with the decimal expansion 44.123 is 2,5.

Hence, the correct answer is option (c). i.e., 2,5.

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