Write Decimals From Expanded Form
Written by Adi Ackerman, Head Teacher
"Write Decimals From Expanded Form" is written for 6th Grade (Ages 11-12). If your student is a year younger but already steady on place value & rounding, the page still works. You may just need to read the instructions out loud. And if they are older and decimals in expanded form never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: write 16 decimals such as 8.07806 and 0.0049 in standard form from expanded form or notation. Answer key included. Part of our decimals in expanded form place value & rounding collection.
How do I use this worksheet?
Use Expand Decimals in Form and Notation first so students see both forms side by side. Then use Write Decimals From Expanded Form to check that they hold zero places in numbers like 30.000057.
What students will practice
- Students will write 16 decimals in standard form from parts like 8 + 0.07 + 0.008 + 0.00006.
- Students will read expanded notation such as 7 × 10 + 9 × 0.1 + 3 × 0.001.
- Students will place zeros for missing places down to millionths, as in 2.000007.
Write Large Numbers in Scientific Notation
Write 9-Digit Numbers in Expanded Form
Expanded Form of Numbers Into the Billions
Write Large Numbers in Expanded Notation
Build Standard Form From Place Value Parts
Build Billions From Place Value Parts
Expand Decimals in Form and Notation
Scientific Notation for Numbers Up to 12 Digits
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FAQ
How do I use this decimals in expanded form worksheet?
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Use Expand Decimals in Form and Notation first so students see both forms side by side. Then use Write Decimals From Expanded Form to check that they hold zero places in numbers like 30.000057.
What does this worksheet teach?
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Write 16 decimals such as 8.07806 and 0.0049 in standard form from expanded form or notation. The directions on the page read: Write each number in standard form. An answer key is included.
Can I use this decimals in expanded form worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade place value & rounding, 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 decimals in expanded form. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you write a decimal in expanded form?
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Write the value of each nonzero digit and add them, so 85.72 = 80 + 5 + 0.7 + 0.02. Zero digits are skipped, so 59.00004 = 50 + 9 + 0.00004.
What place values do these decimals use?
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They go from hundreds down to millionths. Write Decimals From Expanded Form includes 2 × 1 + 7 × 0.000001 = 2.000007.
How do students avoid mistakes with zeros?
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Find the smallest place first. In 4 × 0.001 + 9 × 0.0001 the smallest place is ten thousandths, so the answer has four decimal places, 0.0049.
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Worksheet Details
| Grade | 6th Grade |
| Subject | Math |
| Topic | Place Value & Rounding |
| Pages | 1 page |
| Difficulty | Medium |
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Write Large Numbers in Scientific Notation
Write 9-Digit Numbers in Expanded Form
Expanded Form of Numbers Into the Billions
Write Large Numbers in Expanded Notation
Build Standard Form From Place Value Parts
Build Billions From Place Value Parts
Expand Decimals in Form and Notation
Scientific Notation for Numbers Up to 12 Digits