To find the decimal representation of [tex]\( \frac{27}{100} \)[/tex]:
1. Start by understanding the fraction [tex]\(\frac{27}{100}\)[/tex]. The denominator 100 indicates that the numerator 27 is being divided by 100.
2. When you divide by 100, you essentially move the decimal point of the numerator two places to the left. This is because 100 is [tex]\(10^2\)[/tex], which means you're dividing by a number with two zeros.
3. Starting with 27, imagine the decimal point is at the end of the number, making it 27.0.
4. Move the decimal point two places to the left:
[tex]\[ 27.0 \rightarrow 2.70 \rightarrow 0.27 \][/tex]
Therefore, the decimal representation of [tex]\( \frac{27}{100} \)[/tex] is [tex]\( 0.27 \)[/tex].
The correct answer is:
C. [tex]\( 0.27 \)[/tex]
