CCSS.Math.Content.4.NF.C.6
The standard
Use decimal notation for fractions with denominators 10 or 100.
Common Core State Standards for Mathematics · Number and Operations—Fractions
What this standard means
Students need to connect tenths and hundredths to decimal notation. They should read, write, model, and locate numbers like 0.4, 0.40, and 0.62 as fractions with denominators 10 or 100. They also need to see decimals as numbers with size, not just digits after a dot.
Mastery looks like moving between 62/100, 0.62, a shaded hundred grid, money, meters, and a number line without guessing. Students often mix up tenths and hundredths, read 0.62 as “six point two,” or think 0.4 is smaller than 0.36 because it has fewer digits.
Ways to teach it
- Have students shade 100-grid cards for 0.27, 0.5, and 0.83, then write each as a fraction and decimal.
- Ask students to explain in writing: Is 0.6 the same amount as 0.60, and how can a model prove it?
- Give four cards, 0.38, 38/100, 3/10, and 0.3, and have students match equal values in two minutes.
- Use a meter stick and sticky notes to mark 0.25 m, 0.7 m, and 0.92 m, then name each as a fraction.
Plan a lesson for CCSS.Math.Content.4.NF.C.6
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Related standards
- CCSS.Math.Content.5.NBT.B
Perform operations with multi-digit whole numbers and with decimals to hundredths.
- CCSS.Math.Content.4.NF.C.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators ...
- CCSS.Math.Content.5.NBT.A.3a
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/...
- CCSS.Math.Content.4.NF.C
Understand decimal notation for fractions, and compare decimal fractions.