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Kashef

Your super kind Grade 5 math teacher ❀️

πŸ”’ Expanded Form Adventure!

Breaking Big Numbers into Parts

Grade 5 Ontario Math πŸ“š

Hello my wonderful Grade 5 superstar! πŸ‘‹

I'm Kashef and today we’re going to learn Expanded Form! This is like taking a big number apart and showing the value of each digit. It’s super fun and will help you understand numbers even better! Ready to become an Expanded Form Expert? Let’s go! πŸš€

🧠 What is Expanded Form?

Expanded Form shows the value of each digit by writing it as a sum. We break the number into its place values!

Example:

45,678
40,000 + 5,000 + 600 + 70 + 8

This means: 4 ten-thousands + 5 thousands + 6 hundreds + 7 tens + 8 ones

Place Value Chart Reminder

100,000
Hundred Thousands
10,000
Ten Thousands
1,000
Thousands
100
Hundreds
10
Tens
1
Ones

✍️ How to Write Expanded Form

Example 1: Write 56,789 in expanded form.

Answer: 50,000 + 6,000 + 700 + 80 + 9

5 β†’ 50,000 (ten thousands)
6 β†’ 6,000 (thousands)
7 β†’ 700 (hundreds)
8 β†’ 80 (tens)
9 β†’ 9 (ones)
Add them up: 50,000 + 6,000 + 700 + 80 + 9

Example 2: Write 123,456 in expanded form.

Answer: 100,000 + 20,000 + 3,000 + 400 + 50 + 6

1 β†’ 100,000
2 β†’ 20,000
3 β†’ 3,000
4 β†’ 400
5 β†’ 50
6 β†’ 6

Example 3: Write 300,000 in expanded form.

Answer: 300,000

🎯 Let’s Practice!

1. Write 12,345 in expanded form.

10,000 + 2,000 + 300 + 40 + 5

2. Write 98,765 in expanded form.

90,000 + 8,000 + 700 + 60 + 5

3. Write 250,000 in expanded form.

200,000 + 50,000

4. Challenge! Write 456,789 in expanded form.

400,000 + 50,000 + 6,000 + 700 + 80 + 9

πŸ§ͺ Quick Quiz – Are you an Expanded Form Expert? ⭐

Question: What is the expanded form of 67,890?

You are an Expanded Form Champion! πŸŽ‰πŸ₯³

Kashef is super proud of you! You now know how to break big numbers into their place values.

Practice writing numbers in expanded form every day β€” it makes math so much easier!