Common Core Expanded Form for Grade 1

Complete Common Core aligned expanded form guide with standards, exercises, and visual learning tools for place value mastery.

Common Core Aligned Exercises
1 CCSS.MATH.CONTENT.1.NBT.B.2.A
Exercise 1
Write 14 in expanded form. Explain how 14 is made of 1 ten and 4 ones.
Common Core Standard:

CCSS.MATH.CONTENT.1.NBT.B.2.A: 10 can be thought of as a bundle of ten ones — called a "ten."

Expanded form: Writing a number to show the value of each digit separately. For example, 14 = 10 + 4

Method:
  1. Identify each digit in the number
  2. Determine the place value of each digit
  3. Write each digit with its place value
  4. Join them with addition signs
Number
14
Expanded
10 + 4
Step 1: Identify digits

In 14, we have digit 1 and digit 4

Step 2: Determine place values

The 1 is in the tens place, so its value is 1 × 10 = 10

The 4 is in the ones place, so its value is 4 × 1 = 4

Step 3: Write expanded form

14 = 10 + 4

14 = 10 + 4
Final Answer:

14 in expanded form is 10 + 4, showing 1 ten and 4 ones

Common Core Connection:

• Standard: CCSS.MATH.CONTENT.1.NBT.B.2.A

• Concept: Understanding that 10 ones make 1 ten

• Application: Breaking numbers into tens and ones

Tip: Think of 14 as 1 group of 10 and 4 single items!
2 CCSS.MATH.CONTENT.1.NBT.B.2.B
Exercise 2
Write 17 in expanded form. Show how 17 is composed of a ten and some ones.
Common Core Standard:

CCSS.MATH.CONTENT.1.NBT.B.2.B: The numbers 11, 12, 13, 14, 15, 16, 17, 18, 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.

Number
17
Expanded
10 + 7
Step 1: Identify digits

In 17, we have digit 1 and digit 7

Step 2: Determine place values

1 ten = 1 × 10 = 10

7 ones = 7 × 1 = 7

Step 3: Write expanded form

17 = 10 + 7

17 = 10 + 7
Final Answer:

17 in expanded form is 10 + 7, showing 1 ten and 7 ones

Common Core Connection:

• Standard: CCSS.MATH.CONTENT.1.NBT.B.2.B

• Concept: Numbers 11-19 are composed of 1 ten and some ones

• Application: Recognizing the structure of teen numbers

3 CCSS.MATH.CONTENT.1.NBT.B.2.C
Exercise 3
Write 30 in expanded form. Explain how 30 represents three tens.
Common Core Standard:

CCSS.MATH.CONTENT.1.NBT.B.2.C: The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

Number
30
Expanded
30 + 0
Step 1: For expanded form

3 tens = 30, 0 ones = 0, so 30 = 30 + 0

Step 2: Explanation

30 represents three groups of ten with zero extra ones

30 = 30 + 0
Final Answer:

30 in expanded form is 30 + 0, showing three tens and zero ones

Common Core Connection:

• Standard: CCSS.MATH.CONTENT.1.NBT.B.2.C

• Concept: Round numbers represent exact tens

• Application: Understanding multiples of ten

Common Core Standards Overview
CCSS.MATH.CONTENT.1.NBT.B.2
Understand that the two digits of a two-digit number represent amounts of tens and ones.
This standard focuses on understanding place value in two-digit numbers. Students learn that each digit in a two-digit number has a specific value based on its position.
CCSS.MATH.CONTENT.1.NBT.B.2.A
10 can be thought of as a bundle of ten ones — called a "ten."
Students understand that 10 individual items can be grouped together to form a single unit called a "ten."
CCSS.MATH.CONTENT.1.NBT.B.2.B
The numbers 11-19 are composed of a ten and some ones.
Students recognize that teen numbers are made up of 1 ten and additional ones (1-9).
CCSS.MATH.CONTENT.1.NBT.B.2.C
The numbers 10, 20, 30... refer to one, two, three... tens.
Students understand that round numbers represent exact multiples of ten with zero ones.
COMMON CORE CONNECTION
🎯
STANDARD
1.NBT.B.2
🔢
CONCEPT
Place Value
📊
SKILL
Expanded Form
✅
Mastery
Level
23 = 20 + 3
Common Core Application
Common Core Practice Exercises
4 CCSS.MATH.CONTENT.1.NBT.B.2
Exercise 4
Write 45 in expanded form. Explain the value of each digit.
Common Core Standard:

CCSS.MATH.CONTENT.1.NBT.B.2: Understand that the two digits of a two-digit number represent amounts of tens and ones.

Number
45
Expanded
40 + 5
Step 1: Identify digits

In 45, we have digit 4 and digit 5

Step 2: Determine place values

4 tens = 4 × 10 = 40

5 ones = 5 × 1 = 5

Step 3: Write expanded form

45 = 40 + 5

Step 4: Verify

40 + 5 = 45 ✓

45 = 40 + 5
Final Answer:

45 in expanded form is 40 + 5, showing 4 tens and 5 ones

Common Core Connection:

• Standard: CCSS.MATH.CONTENT.1.NBT.B.2

• Concept: Two-digit numbers represent tens and ones

• Application: Breaking numbers into place value components

5 CCSS.MATH.CONTENT.1.NBT.B.2
Exercise 5
Complete: 68 = ___ (expanded), ___ (explanation).
Common Core Standard:

CCSS.MATH.CONTENT.1.NBT.B.2: Understand that the two digits of a two-digit number represent amounts of tens and ones.

Number
68
Expanded
60 + 8
Explanation
6 tens and 8 ones
Step 1: Expanded form

6 tens = 60, 8 ones = 8, so 60 + 8

Step 2: Explanation

68 has 6 tens (60) and 8 ones (8)

Step 3: Verification

60 + 8 = 68 ✓

68 = 60 + 8
Final Answer:

68 = 60 + 8, showing 6 tens and 8 ones

Common Core Connection:

• Standard: CCSS.MATH.CONTENT.1.NBT.B.2

• Concept: Each digit represents tens or ones

• Application: Decomposing numbers by place value

Common Core Learning Summary: Expanded Form Mastery
COMMON CORE EXPANDED FORM SUMMARY
Core Learning Objectives

Objective 1: Students will understand that two-digit numbers represent amounts of tens and ones (CCSS.MATH.CONTENT.1.NBT.B.2)

Objective 2: Students will write two-digit numbers in expanded form showing tens and ones (CCSS.MATH.CONTENT.1.NBT.B.2.A)

Objective 3: Students will recognize that numbers 11-19 are composed of a ten and some ones (CCSS.MATH.CONTENT.1.NBT.B.2.B)

Objective 4: Students will understand that round numbers represent exact tens (CCSS.MATH.CONTENT.1.NBT.B.2.C)

Common Core Standards

CCSS.MATH.CONTENT.1.NBT.B.2: Understand that the two digits of a two-digit number represent amounts of tens and ones

CCSS.MATH.CONTENT.1.NBT.B.2.A: 10 can be thought of as a bundle of ten ones

CCSS.MATH.CONTENT.1.NBT.B.2.B: Numbers 11-19 are composed of a ten and some ones

CCSS.MATH.CONTENT.1.NBT.B.2.C: Round numbers refer to exact tens with zero ones

Step-by-Step Methods

Method 1 - Standard to Expanded:

  1. Identify each digit in the number
  2. Determine the place value of each digit
  3. Write each digit with its place value
  4. Join with addition signs

Method 2 - Verification:

  1. Add the expanded parts together
  2. Check if the sum equals the original number
  3. If yes, the expanded form is correct
Concrete Examples

Simple Example: 13 = 10 + 3 (CCSS.MATH.CONTENT.1.NBT.B.2.B)

Medium Example: 25 = 20 + 5 (CCSS.MATH.CONTENT.1.NBT.B.2)

Advanced Example: 40 = 40 + 0 (CCSS.MATH.CONTENT.1.NBT.B.2.C)

Complex Example: 76 = 70 + 6 (CCSS.MATH.CONTENT.1.NBT.B.2)

Tips and Memory Aids

Tip 1: "Left is tens, right is ones" (CCSS.MATH.CONTENT.1.NBT.B.2)

Tip 2: Tens digit × 10 = actual value (CCSS.MATH.CONTENT.1.NBT.B.2)

Tip 3: Always add expanded parts to verify (CCSS.MATH.CONTENT.1.NBT.B.2)

Tip 4: Use base ten blocks to visualize (CCSS.MATH.CONTENT.1.NBT.B.2.A)

Common Pitfalls to Avoid

Pitfall 1: Forgetting that the tens digit represents groups of 10 (CCSS.MATH.CONTENT.1.NBT.B.2)

Pitfall 2: Adding instead of multiplying place values (CCSS.MATH.CONTENT.1.NBT.B.2)

Pitfall 3: Not verifying the answer by adding expanded parts (CCSS.MATH.CONTENT.1.NBT.B.2)

Pitfall 4: Confusing place values with face values (CCSS.MATH.CONTENT.1.NBT.B.2)

Key Takeaways for Memorization

Remember: Each digit's position determines its value (CCSS.MATH.CONTENT.1.NBT.B.2)

Memorize: Tens place = digit × 10, Ones place = digit × 1 (CCSS.MATH.CONTENT.1.NBT.B.2)

Practice: Daily conversion exercises (CCSS.MATH.CONTENT.1.NBT.B.2)

Master: The relationship between digits and their expanded equivalents (CCSS.MATH.CONTENT.1.NBT.B.2)

Common Core Questions & Answers

Question: How do I ensure my expanded form lessons align with Common Core standards?

Answer: Focus on the key components of CCSS.MATH.CONTENT.1.NBT.B.2:

  • Emphasize that digits represent tens and ones specifically
  • Use concrete materials like base ten blocks to show bundling of ten ones
  • Connect visual representations to abstract numbers
  • Require students to explain their thinking about place value

Always connect your lessons back to the specific standard language and ensure students can articulate their understanding!

The key is helping students understand the WHY behind expanded form, not just the HOW!

Question: My child is learning "Common Core math." What does this mean for expanded form?

Answer: Common Core expanded form focuses on understanding the structure of numbers:

  • Instead of just memorizing, students learn WHY 23 = 20 + 3
  • They understand that 2 tens = 20 and 3 ones = 3
  • They connect concrete representations to abstract symbols
  • They develop number sense that will help with future math

Common Core emphasizes conceptual understanding over rote memorization.

Your child is building a strong foundation for advanced math concepts!

Question: Why do we need to learn Common Core expanded form? Can't I just write numbers normally?

Answer: Common Core expanded form helps you understand how numbers really work!

  • It shows you that 47 means 40 + 7, not just 4 + 7
  • It builds the foundation for addition and subtraction
  • It helps you understand money, time, and measurements
  • It prepares you for bigger numbers in higher grades

Common Core expanded form teaches you the "why" behind math, not just the "how"!

Understanding number structure makes all future math easier!