🎓 Grade 2📄 Free PDF✅ Answer Keys🎯 4 Classroom Sets

Expanded Form 3-Digit Numbers · Free Worksheets (Grade 2)

Practice expanded form 3-digit numbers (Grade 2) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

📐Aligned to Common Core (CCSS.MATH.CONTENT.2.NBT.A.3)·5-10 min per sheet

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PanMaths.comExpanded Form 3-Digit Numbers Worksheets • Set A (Standard)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.Expanded Form

347=

2.Standard Form

200+80+4=

3.Expanded Form

611=

4.Standard Form

600+50+2=

5.Expanded Form

358=

6.Standard Form

800+30+5=

7.Expanded Form

762=

8.Standard Form

800+70+4=

9.Expanded Form

211=

10.Standard Form

100+40+3=

PanMaths.com • Free Printable Math WorksheetsPage 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Standard)

Answer Key

Total Problems: 10

1.Expanded Form

347=

300

Identify place values: 3 hundreds = 300, 4 tens = 40, 7 ones = 7.

2.Standard Form

200+80+4=

284

Combine place values: 200 + 80 + 4 = 284.

3.Expanded Form

611=

600

Identify place values: 6 hundreds = 600, 1 tens = 10, 1 ones = 1.

4.Standard Form

600+50+2=

652

Combine place values: 600 + 50 + 2 = 652.

5.Expanded Form

358=

300

Identify place values: 3 hundreds = 300, 5 tens = 50, 8 ones = 8.

6.Standard Form

800+30+5=

835

Combine place values: 800 + 30 + 5 = 835.

7.Expanded Form

762=

700

Identify place values: 7 hundreds = 700, 6 tens = 60, 2 ones = 2.

8.Standard Form

800+70+4=

874

Combine place values: 800 + 70 + 4 = 874.

9.Expanded Form

211=

200

Identify place values: 2 hundreds = 200, 1 tens = 10, 1 ones = 1.

10.Standard Form

100+40+3=

143

Combine place values: 100 + 40 + 3 = 143.

PanMaths.com • Answer Key & SolutionsPage 2 of 2

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Worksheet Info

Categorygrade-2

Grade LevelGrade 2

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.2.NBT.A.3

Skills Practiced

✓ Expanded Form 3-Digit Numbers

Key Strategies

🗣️ Say the Number Slowly Out Loud: Saying 'three hundred forty-eight' reveals the exact expanded parts: 'three hundred' (300) + 'forty' (40) + 'eight' (8)!
📍 Break Down by Value Columns: Hundreds digit gets two zeros (×100), tens digit gets one zero (×10), and ones digit stays by itself (×1).
🛑 Watch Out for Zero in the Tens Place: For 406, there are 0 tens: 400 + 0 + 6 (or 400 + 6). Never write 40!

Related Worksheets

📄 Base-10 Blocks to 1,000View →📄 Comparing 3-Digit NumbersView →📄 Skip Counting by 3s and 4sView →📄 2-Digit Addition Without RegroupingView →

📜 Standard: CCSS.MATH.CONTENT.2.NBT.A.3🔗 CCSS.MATH.CONTENT.2.NBT.A.1🔗 CCSS.MATH.CONTENT.2.NBT.B.8

Mastering Expanded Form 3-Digit Numbers: Core Concepts & Mental Models

Expanded form stretches a number out to reveal the true place value of each individual digit. Understanding that 753 is not just '7, 5, 3', but rather 700 + 50 + 3, cements base-ten structure and prevents column alignment errors in multi-digit addition.

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: Write 582 in expanded form.

Worked Solution: 1. 5 in hundreds place = 500. 2. 8 in tens place = 80. 3. 2 in ones place = 2. 4. Expanded form: 500 + 80 + 2.

💡 Essential Strategies for Expanded Form 3-Digit Numbers

🗣️ Say the Number Slowly Out Loud

Saying 'three hundred forty-eight' reveals the exact expanded parts: 'three hundred' (300) + 'forty' (40) + 'eight' (8)!

📍 Break Down by Value Columns

Hundreds digit gets two zeros (×100), tens digit gets one zero (×10), and ones digit stays by itself (×1).

🛑 Watch Out for Zero in the Tens Place

For 406, there are 0 tens: 400 + 0 + 6 (or 400 + 6). Never write 40!

⚠️ Common Mistakes & Teacher Fixes

⚠️Writing digits instead of place values (e.g. 348 = 3 + 4 + 8)

Why students stumble: Writing the face value of the digits instead of their true base-ten value.

Teacher Fix: Always remind: 3 + 4 + 8 = 15, not 348! The 3 means 300, and the 4 means 40.

Example: 348 = 300 + 40 + 8, NOT 3 + 4 + 8.

⚠️Misplacing zeros when converting back to standard form

Why students stumble: Reading 400 + 6 and writing 460 instead of 406.

Teacher Fix: Notice that 6 is in the ones place, so the tens place must have a 0: 406.

Example: 400 + 6 = 406, not 460.

📖 Key Mathematical Vocabulary

Expanded Form

A way to write numbers by showing the value of each digit added together (e.g. 348 = 300 + 40 + 8).

Standard Form

The normal way we write numbers using digits (e.g. 348).

Place Value

The numerical worth of a digit based on its column (hundreds, tens, ones).

🎯 4 Differentiated Classroom Sets Included

Standard 10Version A

Set A: Core 3-Digit Expanded Form (10 Problems)

Convert standard 3-digit numbers (100 to 999) into expanded form.

Anti-CheatVersion B

Set B: Alternate Numbers (10 Problems)

Identical structure with alternate numbers to prevent desk-copying.

ChallengingVersion C

Set C: Missing Values & Zero Placeholders (8 Problems)

Solve for missing expanded parts (e.g. 500 + ____ + 4 = 564) and numbers with zero tens.

Speed SprintVersion D

Set D: 3-Minute Fluency Sprint (15 Problems)

15 rapid conversions between standard and expanded forms.

❓ Frequently Asked Questions

How do you solve a expanded form 3-digit numbers problem step by step?

Here is a worked example: "Write 582 in expanded form.". Solution: 1. 5 in hundreds place = 500. 2. 8 in tens place = 80. 3. 2 in ones place = 2. 4. Expanded form: 500 + 80 + 2.

What is the core learning objective for expanded form 3-digit numbers?

Read and write 3-digit numbers using base-ten numerals, number names, and expanded form (e.g., 348 = 300 + 40 + 8). This directly aligns with Common Core Standard CCSS.MATH.CONTENT.2.NBT.A.3.

What is the most common mistake students make with expanded form 3-digit numbers?

A frequent pitfall is: "Writing digits instead of place values (e.g. 348 = 3 + 4 + 8)". Why students stumble: Writing the face value of the digits instead of their true base-ten value. How to fix it: Always remind: 3 + 4 + 8 = 15, not 348! The 3 means 300, and the 4 means 40. (Example: 348 = 300 + 40 + 8, NOT 3 + 4 + 8.)

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (Convert standard 3-digit numbers (100 to 999) into expanded form.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Are these expanded form 3-digit numbers worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.