A fraction with denominator 100 represents hundredths, so its numerator becomes the digits to the right of the decimal point: 7/100=0.07, 45/100=0.45, and 100/100=1.00=1. The understanding includes the role of a zero in preserving place value—distinguishing 0.05 from 0.5—and connects fractional and decimal notation for quantities through hundredths; it does not include thousandths or converting fractions with other denominators.
Detailed Explanation: Convert hundredths fractions to decimals
A denominator of (100) means hundredths. To write a fraction with denominator (100) as a decimal:
Write (0.)
Use the numerator as the two digits after the decimal point.
Add a zero if the numerator has only one digit.
Example: Convert 1005 to a decimal.
The denominator is (100), so we need two digits after the decimal point.
The numerator is 5. Write it as (05) to fill both places.
Therefore,
1005=0.05
The zero is important: (0.05) means five hundredths, while (0.5) means five tenths.
Learn by doing: Convert hundredths fractions to decimals
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