Exercises on Expanded Answer Format in Grade 1

Master expanded answer format: place value, number decomposition, expanded form, and visual representations through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Simple Expanded Form
Exercise 1
Write the expanded form of 15.
Show 15 as tens + ones.
Definition:

Expanded Form: Writing a number to show the value of each digit (tens + ones).

Expanded Form Method:
  1. Identify the tens digit and ones digit
  2. Write the tens value (digit × 10)
  3. Write the ones value (digit × 1)
  4. Connect with a plus sign
15
10
5

Expanded Process:

Breaking the number into tens and ones parts.

Step 1: Identify digits in 15

1 is in tens place, 5 is in ones place

Step 2: Calculate tens value

1 ten = 1 × 10 = 10

Step 3: Calculate ones value

5 ones = 5 × 1 = 5

Step 4: Write expanded form

15 = 10 + 5

Step 5: Verify the expansion

10 + 5 = 15 ✓

15 = 10 + 5
Final answer:

15 = 10 + 5

2 Two-Digit Expansion
Exercise 2
Write the expanded form of 34.
Show 34 as tens + ones.
Definition:

Two-Digit Expansion: Showing a two-digit number as tens + ones.

34
→
3 TENS + 4 ONES
10
10
10
1
1
1
1
Step 1: Identify digits in 34

3 is in tens place, 4 is in ones place

Step 2: Calculate tens value

3 tens = 3 × 10 = 30

Step 3: Calculate ones value

4 ones = 4 × 1 = 4

Step 4: Write expanded form

34 = 30 + 4

Step 5: Verify the expansion

30 + 4 = 34 ✓

34 = 30 + 4
Final answer:

34 = 30 + 4

3 Place Value Table
Exercise 3
Fill in the place value table for 47.
Write 47 in expanded form.
Definition:

Place Value Table: A table showing where each digit belongs (tens or ones).

TENS ONES
4 7
47
→
4 TENS + 7 ONES
10
10
10
10
1
1
1
1
1
1
1
Step 1: Identify place values in 47

4 is in tens place, 7 is in ones place

Step 2: Fill the place value table

Tens column gets 4, Ones column gets 7

Step 3: Calculate actual values

4 tens = 40, 7 ones = 7

Step 4: Write expanded form

47 = 40 + 7

Step 5: Verify total

40 + 7 = 47 ✓

47 = 40 + 7
Final answer:

47 = 40 + 7

Expanded Answer Format Guide
Number = Tens + Ones
Expanded Form Formula
Tens
Digit × 10
Multiply by 10
Ones
Digit × 1
Multiply by 1
Expanded Form
Tens + Ones
Add the values
Key definitions:

Expanded Form: Writing a number to show the value of each digit (tens + ones)

Tens: Groups of 10 units (worth 10 each)

Ones: Single units (worth 1 each)

Place Value: Value depends on position in number

Complete methodology:
  1. Identify digits: Locate tens and ones positions
  2. Calculate values: Tens digit × 10, ones digit × 1
  3. Combine values: Add tens and ones together
  4. Verify result: Check if sum equals original number
Tip 1: Remember: 10 ones = 1 ten. Group 10 singles to make a ten.
Tip 2: Always write tens first, then ones (e.g., 34 = 30 + 4).
Tip 3: Use visual blocks to represent numbers - helps understand concept.
Tip 4: Practice counting by tens: 10, 20, 30, 40, etc.
Common errors: Confusing tens and ones positions, forgetting to multiply by 10.
Memory aid: "Tens" comes first because it's bigger value than ones.
Formulas to know by heart:

• Place Value: For number AB: A tens + B ones

• Value Calculation: A × 10 + B × 1

• Expanded Form: AB = (A × 10) + (B × 1)

• Verification: (A × 10) + (B × 1) = AB

Visual Understanding

10
10
10
+
1
1
3 tens + 2 ones = 30 + 2 = 32
Solution: Exercises 4 to 5
4 Zero Ones
Exercise 4
Write the expanded form of 50.
Show 50 as tens + ones.
Definition:

Zero Ones: When there are no ones, the ones value is 0.

50
→
5 TENS + 0 ONES
10
10
10
10
10
Step 1: Identify digits in 50

5 is in tens place, 0 is in ones place

Step 2: Calculate tens value

5 tens = 5 × 10 = 50

Step 3: Calculate ones value

0 ones = 0 × 1 = 0

Step 4: Write expanded form

50 = 50 + 0

Step 5: Verify the expansion

50 + 0 = 50 ✓

50 = 50 + 0
Final answer:

50 = 50 + 0

5 Mixed Practice
Exercise 5
Write the expanded forms of:
28 = ___ + ___
43 = ___ + ___
60 = ___ + ___
Definition:

Mixed Practice: Problems that involve different types of number expansions.

Mixed Practice
28 = 20 + 8 43 = 40 + 3 60 = 60 + 0
Step 1: For 28

2 tens = 20, 8 ones = 8, so 28 = 20 + 8

Step 2: For 43

4 tens = 40, 3 ones = 3, so 43 = 40 + 3

Step 3: For 60

6 tens = 60, 0 ones = 0, so 60 = 60 + 0

Step 4: Verify all expansions

20 + 8 = 28 ✓, 40 + 3 = 43 ✓, 60 + 0 = 60 ✓

28 = 20 + 8, 43 = 40 + 3, 60 = 60 + 0
Final answers:

28 = 20 + 8, 43 = 40 + 3, 60 = 60 + 0

Complete Summary: Expanded Answer Format
Number = Tens + Ones
Expanded Form Formula
Key definitions:

Expanded Form: Writing a number to show the value of each digit (tens + ones)

Tens: A group of 10 units, located in the second position from right

Ones: Single units, located in the first position from right

Place Value: The value of a digit based on its position in the number

Complete methodology:
  1. Analyze the number: Identify the position of each digit
  2. Assign place values: Left digit = tens, right digit = ones
  3. Calculate actual values: Multiply each digit by its place value
  4. Combine values: Add tens value and ones value together
  5. Verify result: Ensure the sum equals the original number
Tip 1: Use visual aids like base-10 blocks to physically group items into tens and ones.
Tip 2: Practice skip counting by tens (10, 20, 30...) to build number sense.
Tip 3: Always read the number from left to right: "tens first, then ones".
Tip 4: Remember: 10 ones can be traded for 1 ten (regrouping).
Key Insight: Understanding place value is foundational for all future math operations.
Real-world use: Money counting, measuring, and organizing large quantities.
Essential Rules:

• Position Rule: Rightmost digit = ones, next digit left = tens

• Value Rule: Tens digit × 10, ones digit × 1

• Grouping Rule: 10 ones = 1 ten

• Addition Rule: Tens + ones = original number

• Comparison Rule: Tens are always greater than ones

Expanded Form Examples

Number TENS ONES Expanded Form
12 1 2 10 + 2
35 3 5 30 + 5
48 4 8 40 + 8
60 6 0 60 + 0

Questions & Answers

Question: My child is confused about why 23 doesn't mean 2 and 3, but instead means 20 and 3. How can I explain expanded form clearly?

Answer: Great question! The key is helping children understand that the position of a digit determines its value:

  • In 23, the "2" is in the TENS place, so it represents 2 groups of 10 = 20
  • The "3" is in the ONES place, so it represents 3 single units = 3
  • Together: 20 + 3 = 23

Use physical objects: Have your child count out 23 blocks, then group them into 2 groups of 10 with 3 left over. This hands-on experience helps solidify the concept that "2" in the tens place means "2 groups of 10," not just "2." Expanded form explicitly shows this: 23 = 20 + 3.

Question: How can I help students who struggle with the concept of expanded form? They seem to forget that each digit has a different value.

Answer: Build the concept gradually with visual and kinesthetic approaches:

  1. Start with concrete materials: Use base-10 blocks, beans, or counters
  2. Build the concept gradually: Begin with numbers like 10, 20, 30
  3. Use consistent language: "This digit represents how many tens/ones"
  4. Connect to real life: Like trading 10 pennies for 1 dime
  5. Practice regularly: Daily expanded form exercises

Create situations where students must explicitly write the expanded form: "Show 17 as 10 + 7" rather than just saying "17." This builds the neural pathway for understanding place value.

Question: Some students are struggling with numbers like 50 where there are zero ones. How should I teach expanded form for these numbers?

Answer: Use the concept of "nothing" to explain zero ones:

  • Visual demonstration: Show 5 ten rods and no single blocks
  • Language connection: "5 tens and zero ones" = 50 + 0
  • Pattern recognition: Numbers ending in 0 have no ones
  • Place value chart: Fill the ones column with 0
  • Verification: 50 + 0 = 50 ✓

Emphasize that zero in the ones place doesn't change the value: 50 = 50 + 0. The zero is important because it holds the place and tells us there are no single units.