Decimal Fractions
Understand and work with decimal fractions
Understanding Decimals
A decimal fraction uses a decimal point to show parts less than one whole. The digit after the point shows tenths, and the next digit shows hundredths. For example, 0.5 = 5 tenths = 1/2.
Example
Decimals and Fractions
0.1 = 1/10 (one tenth)
0.5 = 5/10 = 1/2 (five tenths)
0.25 = 25/100 = 1/4 (twenty-five hundredths)
0.75 = 75/100 = 3/4
1.5 = 1 and 5/10 = one and a half
Example
Ordering Decimals
Order from smallest to largest: 0.8, 0.35, 0.6
Convert to same place: 0.80, 0.35, 0.60
Compare: 35 < 60 < 80
Answer: 0.35, 0.6, 0.8
Note
Remember
The decimal point separates the whole number from the fraction part. Tenths come first (1 digit after point), then hundredths (2 digits). Adding a zero at the end doesn't change the value: 0.5 = 0.50.
Key Vocabulary
DecimalA number with a decimal point showing parts of a whole
TenthOne of 10 equal parts (0.1)
HundredthOne of 100 equal parts (0.01)
Decimal pointThe dot that separates whole numbers from fractions
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