Question

Q14. Prime factors of the denominator of a rational number with the decimal
expansion 23.1278 are
vloving
(A) 2,3
(B) 2,3 (C/2,5 b (a) (D) 3,5

Answer 1

how is this is possible hdhehehdjdjdjdbfhfhhff

Answer 2

(C) $2,5$  is the Prime factor of the denominator of a rational number with decimal expansion $23.1278$

Given:

The given expansion  $23.1278$  is the rational number with decimal places.

First, we have to change the decimal value into a fractional value,

$23.1278=\frac{231278}{10000}$

To find:

Prime factor of the denominator

Step-by-step explanation:

The denominator of the rational number is 10000

10000 is factored into $100\times\ 100$

100 is not a prime number, so we further factoring,

100 is factored into $2\times \ 50$

where 2 is a prime number and 50 is not a prime number.

so we continue factoring,

50 is factored into $5\times \ 10$

where 5 is a prime number and 10 is not a prime number

So we continue factoring,

10 is factored into$2\times \ 5$

Hence the Prime factor is $2,5$