Expanded Form Teaching Resources
Teach students about expanded form and how to write numbers this way with printable worksheets, activities, and more teacher-created resources made for Australian teachers.
Get students thinking about how large numbers can be broken down into individual place values and better understand their value with resources aligned with the Australian curriculum — including version 9.0!
New to teaching this section of the maths curriculum, or just looking for some tips on engaging your students? Read on for a primer from our teacher team, including an explanation of what expanded form is, how it helps kids break down multi-digit whole numbers and how it relates to place value.
What Is Expanded Form? A Kid-Friendly Definition
Let's start with a student-friendly way to introduce expanded form to your maths class! Here's a definition our maths teachers use in the classroom:
Expanded form is a way of representing a number as the sum of its place values by breaking the number down into its individual parts. Writing a number in this form shows the value of each digit in the number.
Expanded Form Examples — How to Write Numbers in Expanded Form
A definition is helpful, but how do you make this concept more concrete for your young learners and help them understand how to write numbers in this format themselves? Expanded form examples, of course!
Let's take the number 345. When we break it down, this number has:
- A 3 in the hundreds place
- A 4 in the tens place
- A 5 in the ones place
To write the number 345 in expanded form, we would create an addition problem:
300 + 40 + 5
If you add these three numbers back together, you will end up with 345!
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Roll It, Make It, Expand It! - Place Value Worksheet
A worksheet for students to use when learning about the place value of two-digit numbers.
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4-Digit Place Value Game - Interactive Activity
Consolidate knowledge of Year 3 place value concepts with an interactive 4-Digit Place Value Game.
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Partitioning 2-Digit Numbers Match-Up Activity
Help children partition 2-digit numbers by identifying the place value of the tens and ones with this matching activity.
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Flip, Draw, Expand! - Place Value Worksheet (3-Digit Numbers)
A worksheet to use when consolidating understanding of place value to hundreds.
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2-Digit Number of the Day Worksheet
A 2-digit place value worksheet to represent the number of the day in different ways.
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Daily Spiral Maths Worksheet (3-4)
Review a variety of place value and number sense standards with a daily spiral maths review worksheet.
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4-Digit Number Riddles Cut and Paste
Use these 4-digit number worksheets to help students practise matching numbers up to 10 000 with their word and expanded forms.
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Place Value STEM Challenge - Number Forms
Show numbers in picture, word, and expanded forms with an engaging Place Value S.T.E.M. Activity!
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2 Digit Place Value Puzzles
Teach students the different representations of 2-digit numbers with this place value puzzle.
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Exploring 2-Digit Place Value PowerPoint
Explore 2-digit numbers using place value strategies with an interactive teaching presentation.
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Representing Two-Digit Numbers - Place Value Worksheet
A set of worksheets for students to use when learning about place value and the different way two-digit numbers can be represented.
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Expanded Notation Poster
Explore the world of expanded notation with a printable classroom poster that easily explains the concept for students!
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MAB Block Picture Cards
A set of MAB Block picture cards to use when exploring place value and partitioning numbers.
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5-Digit Place Value - Assessment
An open-ended worksheet to use when assessing your students' knowledge of place value to the tens of thousands.
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Writing Numbers in Expanded Form Board Game
Help students practise writing numbers in expanded form with this fun and engaging gameboard and cards.
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3-Digit Number Forms Worksheet
Help students practise their knowledge of 3-digit numbers with this place value worksheet that covers MAB blocks, standard form, and expanded form.
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4-Digit Number of the Day Worksheet
A 4-digit place value worksheet to represent the number of the day in different ways.
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Exploring 4-Digit Place Value PowerPoint
A 31 slide PowerPoint template to use when exploring place value to thousands.
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Hundreds Place Value Number Expander Template
Explore expanding 3 digit numbers with your students using this number expander template.
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3-Digit Number Expander Template (Peacock)
A foldable peacock-themed number expander for students to record 3-digit place value.
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Three and Four-Digit Place Value Memory Game
Practise matching numbers in standard form, expanded form and word form with this memory-style place value game.
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5-Digit Number of the Day Worksheet
A 5-digit place value worksheet to represent the number of the day in different ways.
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5-Digit Place Value Warm Up - Interactive PowerPoint
An engaging 44 slide interactive PowerPoint to use when learning about place value to 5-digits.
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Santa's Mix-Up - Place Value & Expanded Form Maths Worksheets
Add some Christmas spirit to your place value lesson plans with printable Christmas place value worksheets for Year 2 and 3.
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Expanded Form Worksheet Pack
Practise expanding 2-digit to 6-digit numbers with this set of 5 worksheets.
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Place Value Cacti - 3-Digit Expanded Form Activity
Build 3-digit numbers in expanded form with a fun cactus-themed place value activity.
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2-Digit Numbers in Expanded Form Worksheet
Explore two-digit numbers in standard form and expanded form with this set of two cut-and-paste style worksheets.
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Roll and Expand Numbers Worksheet Pack
Explore place value with you rstudents using this set of levelled expanding numbers worksheets.
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Flip, Draw, Expand! - Place Value Worksheet (2-Digit Numbers)
A worksheet to use when consolidating understanding of 2-digit place value.
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3-Digit Number of the Day Worksheet
A 3-digit place value worksheet to represent the number of the day in different ways.
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4-Digit Place Value - Assessment
An open-ended worksheet to use when assessing your students' knowledge of place value to the thousands.
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Reading and Writing 2-Digit Numbers Worksheet
Practise converting expanded form numbers into their standard form with this worksheet.