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
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write fractions with denominators of 10 or 100 as decimals, and write those decimals as fractions. They also use decimals to label measurements and locate values on number lines.
What Mastery Looks Like
- Students correctly match fractions such as 7/10 and 62/100 to 0.7 and 0.62. They can represent the same value with a shaded model, a measurement, and a point on a number line.
Common Misconceptions
- Students may read 0.62 as “six point two” or write it as 62/10. They may also place 0.62 between 6 and 7 or count number-line intervals incorrectly.
How to Assess It
- Give students this exit ticket: “Write 37/100 as a decimal, label it on a number line from 0 to 1, and describe a length using that decimal.”
Lesson moves
Ways to Teach It
Have students shade tenths and hundredths grids, then label each model with a fraction and decimal.
Ask students to explain in writing why 0.4 and 40/100 name the same amount.
Play a matching game with fraction cards, decimal cards, shaded grids, and number-line cards.
Measure classroom objects in meters to the nearest hundredth, then record each length as a decimal and fraction.
Free download
Printable 4.NF.C.6 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.4.NF.C.6, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Number & Operations: Fractions progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.4.NBT.A.1
Base-ten place value patterns carry over when students read tenths and hundredths as decimal places to the right of ones.
- CCSS.Math.Content.3.NF.A.1
Understanding a/b as equal parts gives meaning to tenths and hundredths before writing them in decimal notation.
- CCSS.Math.Content.4.NF.C.5
Converting tenths to hundredths supports seeing decimal notation as another way to write tenths and hundredths.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.5.NBT.A.3
Understanding tenths and hundredths decimal notation is necessary before reading, writing, and comparing decimals extended to thousandths.
- CCSS.Math.Content.5.NBT.A.2
Writing tenths and hundredths as decimals supports understanding how multiplying or dividing by powers of 10 changes decimal place value.
- CCSS.Math.Content.5.NBT.B.7
Students must read and represent tenths and hundredths as decimals before using place value strategies to operate on them.
- CCSS.Math.Content.5.NBT.A.1
Writing tenths and hundredths as decimals supports seeing adjacent decimal places as 10 times or one tenth apart.
- CCSS.Math.Content.4.NF.C.7
Comparing decimals to hundredths requires knowing that decimal notation represents tenths and hundredths of the same whole.
- CCSS.Math.Content.5.NBT.A.3a
Writing tenths and hundredths as decimals is essential for reading and expanding decimals that extend to thousandths.
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