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Expanded Form (3 Digits) — Let's Practice!

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Expanded Form (3 Digits) — Let's Practice!
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Basics on the topic Expanded Form (3 Digits) — Let's Practice!

Expanded Form (Three Digits) – Introduction

Get ready because today we're going to practice expanded form with three-digit numbers! Writing numbers in expanded form helps us understand the value of each digit in a number. Ready? Let's go!

What Does it Mean to Write Numbers in Expanded Form?

Expanded form means breaking down a number into its hundreds, tens, and ones to show the value of each digit using your knowledge of place value.

Let's start with some fun activities to help us understand expanded form!

Expanded Form (Three Digits) – Step by Step

We'll take a three-digit number and write it in expanded form. Notice how each digit is separated into hundreds, tens, and ones.

  • Example 1: Writing Numbers in Expanded Form

What is one hundred eighty-nine written in expanded form?

26162SEO1_(1).png

Number: 189

Expanded Form:

Place Value Number
Hundreds 100
Tens 80
Ones 9

Expanded Form: 100 + 80 + 9

Did you also get this answer? Great job!

  • Example 2: Writing Larger Numbers in Expanded Form

Let's tackle the next problem! What is four hundred twenty-six written in expanded form?

26162SEO2_(1).png

Number: 426

Expanded Form:

Place Value Number
Hundreds 400
Tens 20
Ones 6

Expanded Form: 400 + 20 + 6

Did you also get this answer? Awesome!

  • Example 3: Writing Numbers with Zero Ones in Expanded Form

Here is the next problem! What is three hundred fifty written in expanded form?

26162SEO3_(1).png

Number: 350

Expanded Form:

Place Value Number
Hundreds 300
Tens 50
Ones 0

Expanded Form: 300 + 50 + 0

Did you also get this answer? Excellent!

  • Example 4: Writing Numbers with Zero Tens in Expanded Form

Let's tackle the final problem! What is two hundred and eight written in expanded form?

Number: 208

Expanded Form:

Place Value Number
Hundreds 200
Tens 0
Ones 8

Expanded Form: 200 + 0 + 8

Did you also get this? Fantastic!

Expanded Form up to Three Digits – Practice

Now, let's practice writing numbers in expanded form with more examples.

Expanded Form up to Three Digits – Application

Expanded Form up to Three Digits – Summary

Key Learnings from this Text:

  • Writing numbers in expanded form means breaking them down into hundreds, tens, and ones.
  • Use expanded form to understand the value of each digit in a number.
  • Practice writing numbers slowly at first, then try doing it faster with different sets of numbers.

Keep practicing writing numbers in expanded form to become a math whiz! Check out more fun number activities and exercises on our website, such as place value with three digits, tens and ones, or place value with up to four digits.

Expanded Form up to Three Digits – Frequently Asked Questions

What is expanded form?
Why is expanded form important?
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Transcript Expanded Form (3 Digits) — Let's Practice!

Razzi says get these items ready, because today we're going to practice expanded form (three digits). It's time to begin! What is one hundred eighty-nine written in expanded form? There are one hundreds, eight tens, and nine ones. One hundred eighty-nine written in expanded form is one hundred plus eighty plus nine. Did you also get this answer? Let's tackle the next problem! What is four hundred twenty-six written in expanded form? There are four hundreds, two tens, and six ones. Four hundred twenty-six written in expanded form is four hundred plus twenty plus six. Did you also get this answer? Here is the next problem! What is three hundred fifty written in expanded form? There are three hundreds, five tens, and zero ones. Three hundred fifty written in expanded form is three hundred plus fifty plus zero. Did you also get this answer? Let's tackle the final problem! What is two hundred and eight written in expanded form? There are two hundreds, zero tens, and eight ones. Two hundred and eight written in expanded form is two hundred plus zero plus eight. Did you also get this? Razzi had so much fun practicing with you today! See you next time!

Expanded Form (3 Digits) — Let's Practice! exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Expanded Form (3 Digits) — Let's Practice!.
  • Choose the correct expanded form.

    Hints

    Say the number 873 out loud slowly. What did you hear? How many hundreds, tens, and ones?

    Remember, all hundreds are followed by two zeros. For example: 100, 200, 300, 400, 500, 600, 700, 800, 900.

    Remember, the tens place is a number followed by one zero. For example, the numbers 10, 20, or 30.

    Look at the hundreds, tens, and ones in 873.

    Solution

    The correct expanded form for 873 is 800 + 70 + 3. This number had 8 hundreds (800), 7 tens (70), and 3 ones (3).

  • Match each number correctly.

    Hints

    Remember, the expanded form shows the amount of hundreds, tens, and ones a number has.

    Look at this example of expanded form:

    700 + 60 + 2 = 762

    Solution

    All numbers expand to show the amount of hundreds, tens, and ones. When these hundreds, tens, and ones come together, we have a 3 digit number.

  • What is 612 in expanded form?

    Hints

    Think about place value when writing the hundreds, tens, and ones.

    Look at this example. 513 in expanded form is 500 + 10 + 3.

    Solution

    The expanded form for 612 is 600 + 10 + 2.

  • What is this number?

    Hints

    Look at the number of hundreds, tens, and ones. Say them out loud.

    If there were 3 hundreds, 5 tens, and 1 one, the number would be 351.

    Solution

    This number is 463. There are 4 hundreds (400), 6 tens (60), and 4 ones (4).

  • Show the hundreds, tens, and ones.

    Hints

    Remember to give the hundreds, tens, and ones their appropriate place values. Example: 692 = 600 + 90 + 2

    Count the hundreds out loud, then look for the matching number. Do the same with the tens and ones.

    Solution

    The number 384 has 3 hundreds, 8 tens, and 4 ones. The expanded form is: 300 + 80 + 4.

  • What are the numbers in expanded form?

    Hints

    Remember, 3 digit numbers always start with the hundreds place.

    Remember, say the number out loud to hear how many hundreds, tens, and ones it has.

    Solution

    The expanded form shows the hundreds, tens, and ones.