To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
Learn more here:
https://brainly.com/question/3425446
