CCSS.Math.Content.4.NF.C
The standard
Understand decimal notation for fractions, and compare decimal fractions.
Common Core State Standards for Mathematics
What this standard means
Students need to connect tenths and hundredths to fractions and decimals. They should read, write, and model numbers like 0.3, 0.30, 0.47, and 1.25 using grids, number lines, money, and fraction notation. They also need to compare decimals by reasoning about place value, not by treating the digits like whole numbers.
Mastery looks like explaining why 0.5 equals 0.50, placing decimals accurately on a number line, and using symbols to compare values. Students often get stuck thinking 0.62 is less than 0.7 because 62 is less than 7, or thinking extra zeros always change the value.
Ways to teach it
- Have students shade 10 by 10 grids to show 0.4, 0.40, 0.07, and 0.70, then write matching fractions.
- Prompt students: Which is greater, 0.6 or 0.58, and how can you prove it without saying “because it looks bigger”?
- Give an exit ticket with three decimal comparisons and one model where students write the decimal and fraction shown.
- Use grocery price tags like $0.45 and $0.50 to compare amounts and connect cents to hundredths.
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Related standards
- CCSS.Math.Content.3.NF.A.3c
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
- CCSS.Math.Content.4.NF.C.6
Use decimal notation for fractions with denominators 10 or 100.
- CCSS.Math.Content.3.NF.A
Develop understanding of fractions as numbers.
- CCSS.Math.Content.4.NF.A.2
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark ...