Decimal Expanded Form
Written by Adi Ackerman, Head Teacher
"Decimal Expanded Form" is written for 4th Grade (Ages 9-10), and it covers Common Core 4.NF.C.6. If your little one is a year younger but already steady on decimals, the page still works. You may just need to read the instructions out loud. And if they are older and decimal place value never quite stuck, this is a short review rather than busywork.
4th grade math worksheet: write decimals in expanded form, like 3.47 = 3 + 0.4 + 0.07, and back. Answer key included. Part of our decimal place value decimals collection. Aligned to Common Core standards.
How do I use this worksheet?
Draw a quick ones, tenths and hundredths chart at the top of scrap paper and have your child place each number in it before answering. Read every decimal out loud the long way (three and twenty-five hundredths). Use the answer key to check, then talk through any digit that was misread.
What students will practice
- Students will name the tenths and hundredths places in a decimal.
- Students will read and write decimals in words and in expanded form.
- Students will find the value of each digit and write equivalent decimals.
Curriculum Links
Common Core State Standards
Number and Operations-Fractions · 4th Grade
Standard: Use decimal notation for fractions with denominators 10 or 100.
View all 4.NF.C.6 worksheets →Find this in the curriculum
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FAQ
How do I use this decimal place value worksheet?
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Draw a quick ones, tenths and hundredths chart at the top of scrap paper and have your child place each number in it before answering. Read every decimal out loud the long way (three and twenty-five hundredths). Use the answer key to check, then talk through any digit that was misread.
What does this worksheet teach?
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Write decimals in expanded form, like 3.47 = 3 + 0.4 + 0.07, and back. Expanded form shows a number as a sum of the value of each digit. In 3.47, the 4 is worth 0.4 and the 7 is worth 0.07. The directions on the page read: Write each missing part or number. Then, check that the parts add up. Finish every problem. The page opens with a worked example, and the answer key shows every answer.
Can I use this decimal place value worksheet for homeschool or classroom?
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Yes, both. We made it for 4th Grade decimals, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with decimal place value. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
What decimal place values do 4th graders learn?
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Two places after the decimal point: tenths and hundredths. In 4.65, the 6 is 6 tenths (0.6) and the 5 is 5 hundredths (0.05). 5th grade adds thousandths.
How do you read a decimal out loud?
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Say the whole number, say and for the decimal point, then read the digits after the point with the name of the last place. 3.25 is three and twenty-five hundredths, and 0.6 is six tenths.
Are 0.5 and 0.50 the same number?
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Yes. A zero at the end of a decimal does not change its value: 5 tenths and 50 hundredths shade the same part of a grid. The equivalent decimals page practices this, which helps when comparing decimals of different lengths.
Which standards do these worksheets support?
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They support CCSS 4.NF.C.6 (decimal notation for tenths and hundredths) and 4.NF.C.5 (equivalent tenths and hundredths).
What decimal skills do 4th graders learn?
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4th graders learn decimals as another way to write tenths and hundredths (CCSS 4.NF.C.6). They write fractions like 7/10 and 37/100 as 0.7 and 0.37, place decimals on number lines and grids, and compare two decimals to hundredths using >, < and = (4.NF.C.7). Money and metric lengths give the decimals everyday meaning.
How do you compare decimals in 4th grade?
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Line up the decimal points and compare place by place from the left: ones, then tenths, then hundredths. Writing 0.5 as 0.50 makes it easy to see that 0.5 is greater than 0.47.
Do 4th graders add decimals?
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Yes, in a limited way. They add tenths and hundredths by writing tenths as hundredths (3/10 + 4/100 = 34/100), which is 4.NF.C.5. Adding and subtracting decimals with the standard method is a 5th grade skill.
Is there an answer key for each worksheet?
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Yes. Every one of the 30 new decimals sheets has an answer key, and the two page sheets have a two page key.
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