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Write Numbers in Expanded Notation

Written by Adi Ackerman, Head Teacher

"Write Numbers in Expanded Notation" is written for 3rd Grade (Ages 8-9). If your little one is a year younger but already steady on place value and rounding, the page still works. You may just need to read the instructions out loud. And if they are older and expanded notation never quite stuck, this is a short review rather than busywork.

Popular with 3rd Grade teachers · Downloaded 427 times
Write Numbers in Expanded Notation
Write Numbers in Expanded Notation

3rd grade math worksheet: write 10 numbers like 7,070 and 5,345 in expanded notation, each digit times its place value. Answer key included. Part of our expanded notation place value and rounding collection.

How do I use this worksheet?

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, using a partner or small group only if they want to talk through their thinking, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These expanded notation worksheets work well as daily practice, homework, or a focused review activity.

What students will practice

  • Students will write 10 four digit numbers such as 5,345 in expanded notation.
  • Students will write each digit times its place value, using x for times.
  • Students will leave out digits that are 0, as in 7,070 and 5,804.


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FAQ

How do I use this expanded notation worksheet?

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Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, using a partner or small group only if they want to talk through their thinking, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These expanded notation worksheets work well as daily practice, homework, or a focused review activity.

What does this worksheet teach?

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Write 10 numbers like 7,070 and 5,345 in expanded notation, each digit times its place value. Expanded notation writes each digit times its place value. Skip a digit that is 0: 5,203 = (5 x 1,000) + (2 x 100) + (3 x 1). The directions on the page read: Write each number in expanded notation on its line. Use x for times, and skip every digit that is 0. An answer key is included.

Can I use this expanded notation worksheet for homeschool or classroom?

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Yes, both. We made it for 3rd Grade place value and 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 expanded notation. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

How is expanded notation different from expanded form?

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Expanded form adds the digit values, so 7,460 = 7,000 + 400 + 60. Expanded notation multiplies each digit by its place value, so 7,460 = (7 x 1,000) + (4 x 100) + (6 x 10).

Why is a digit that is 0 left out?

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A 0 is worth nothing in its place, so it gets no part. 5,804 is written (5 x 1,000) + (8 x 100) + (4 x 1), with no tens part.

Is there an answer key?

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Yes. Both expanded notation sheets have an answer key.

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Worksheet Details

Grade3rd Grade
SubjectMath
TopicPlace Value And Rounding
Pages1 page
DifficultyMedium

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