Lesson 3.2: Making and Breaking Numbers (Expanded Form)
Compose and decompose numbers into tens and units.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
#ExpandedForm #MakingNumbers #BreakingNumbers
Making Numbers & Breaking Numbers into Tens and Ones
Just like building with Lego blocks, we can compose (make) and decompose (break down) any number into its tens and ones parts.
10
10
10
3 Tens = 30
5 Ones = 5
3 Tens + 5 Ones
= 35
Place Value: 3 bundles of 10 and 5 loose ones build the number 35.
1. Breaking Numbers (Expanded Form)
Breaking a number means writing it as the sum of its place values:
• 47 = 40 + 7 (4 tens and 7 ones)
• 82 = 80 + 2 (8 tens and 2 ones)
• 50 = 50 + 0 (5 tens and 0 ones)
Try It: Break 79 into tens and ones: 70 + 9!
2. Making Numbers from Tens and Ones
If you have 6 bundles of ten and 8 single sticks, combine them to make 68. If you have 3 tens and 0 ones, the number is 30.
Mental Math: 9 tens + 4 ones = 94.
💡 Key Learning Takeaways
- Expanded form writes a number as Tens + Ones.
- Making numbers combines tens and ones digits.
- Decomposing numbers makes mental addition easy.
🎯 Key Learning Takeaways
Expanded form and number building.
📄 Printable Worksheets (10 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
WL-G2-C03-W10
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 10
Curriculum Excellence & Final Review
WL-G2-C03-W09
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 9
Mastery Assessment & Progress Check
WL-G2-C03-W08
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 8
Mixed Review & Reinforcement
WL-G2-C03-W07
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 7
Everyday Applications & Story Maths
WL-G2-C03-W06
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 6
Critical Thinking & Deep Understanding
WL-G2-C03-W05
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 5
Speed Challenge & Quick Check
WL-G2-C03-W04
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 4
Problem Solving & Real-Life Stories
WL-G2-C03-W03
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 3
Hands-on Visual Activity & Matching
WL-G2-C03-W02
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 2
Essential Practice & Skill Builder
WL-G2-C03-W01
A4 • 15 Qs
Place Value: Tens and Ones — Worksheet 1
Foundational Concepts & Visual Exploration
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Multiple Choice
Hard
1 Mark
How many tens are there in 94?
A
4 tens
B
9 tens
C
10 tens
D
90 tens
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 tens
Step-by-Step Explanation:
94 consists of 9 tens and 4 ones.
2
Multiple Choice
Hard
1 Mark
I am a 2-digit number with tens digit 5. The sum of my digits is 8. What number am I?
A
44
B
53
C
99
D
62
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
53
Step-by-Step Explanation:
Tens digit = 5. Ones digit = 8 - 5 = 3. Number is 53.
3
Multiple Choice
Hard
1 Mark
If you have 10 tens rods, what new single unit can you trade them for?
A
100 rods
B
1 One cube
C
1 Hundred flat
D
1 Thousand cube
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 Hundred flat
Step-by-Step Explanation:
10 tens = 100 = 1 hundred flat.
4
Multiple Choice
Hard
1 Mark
Why is 53 greater than 35?
A
Digits do not matter
B
Because it ends in an even number
C
Because it was written first
D
Because its tens digit has a higher place value
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because its tens digit has a higher place value
Step-by-Step Explanation:
When comparing 2-digit numbers, the tens place is compared first.
5
Multiple Choice
Medium
1 Mark
A student wrote 'sixty-two' as 602. What error did the student make?
A
602 is correct
B
They wrote 60 instead of putting 6 in the tens place
C
They multiplied by 10
D
They forgot the 2
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
They wrote 60 instead of putting 6 in the tens place
Step-by-Step Explanation:
Sixty-two is 62. Writing 602 places 6 in the hundreds place.
6
Multiple Choice
Medium
1 Mark
Tom looked at 53 and said: 'The digit 5 is only worth 5.' What was Tom's mistake?
A
He should have multiplied by 100
B
He gave the face value instead of the place value (which is tens)
C
The number is odd
D
Tom is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He gave the face value instead of the place value (which is tens)
Step-by-Step Explanation:
Because 5 sits in the tens column, its value is 50.
7
Multiple Choice
Medium
1 Mark
Fill in the blank: 50 + [ ? ] = 53.
A
0
B
30
C
3
D
5
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
50 + 3 = 53.
8
Multiple Choice
Medium
1 Mark
Complete: [ ? ] tens + 3 ones = 53.
A
10
B
5
C
3
D
50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5
Step-by-Step Explanation:
The tens digit in 53 is 5.
9
Multiple Choice
Medium
1 Mark
Priya collected 53 stickers in her album. If she gives away 3 stickers, how many full sheets of 10 will she have?
A
3 sheets
B
0 sheets
C
6 sheets
D
5 sheets of 10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 sheets of 10
Step-by-Step Explanation:
53 - 3 = 50, which is exactly 5 sheets of 10.
10
Multiple Choice
Medium
1 Mark
A school bus has 53 seats. How many groups of 10 passengers can sit in full rows, and how many are left over?
A
5 groups with no leftovers
B
10 groups
C
5 groups of 10 with 3 left over
D
3 groups of 10 with 5 left over
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 groups of 10 with 3 left over
Step-by-Step Explanation:
53 = 5 tens and 3 ones.
11
Multiple Choice
Medium
1 Mark
A toy shop packaged marbles into 5 bags of 10 and had 3 loose marbles. How many marbles were there altogether?
A
100 marbles
B
63 marbles
C
8 marbles
D
53 marbles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
53 marbles
Step-by-Step Explanation:
5 tens = 50. Adding 3 ones gives 53 marbles.
12
Multiple Choice
Easy
1 Mark
What is the standard form of 50 + 3?
A
53
B
35
C
63
D
52
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
53
Step-by-Step Explanation:
50 + 3 = 53.
13
Multiple Choice
Easy
1 Mark
What number is formed by 5 tens and 0 ones?
A
100
B
50
C
15
D
5
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
50
Step-by-Step Explanation:
5 tens + 0 ones = 50.
14
Multiple Choice
Easy
1 Mark
Break 53 into tens and ones:
A
53 tens
B
5 tens and 3 ones
C
50 tens and 3 ones
D
3 tens and 5 ones
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 tens and 3 ones
Step-by-Step Explanation:
53 has 5 tens and 3 ones.
15
Multiple Choice
Easy
1 Mark
In the number 53, what is the place value of the digit 5?
A
5
B
0
C
50
D
100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
50
Step-by-Step Explanation:
The digit 5 is in the tens place, so its value is 50.
16
Multiple Choice
Hard
1 Mark
How many tens are there in 94?
A
4 tens
B
9 tens
C
10 tens
D
90 tens
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 tens
Step-by-Step Explanation:
94 consists of 9 tens and 4 ones.
17
Multiple Choice
Hard
1 Mark
I am a 2-digit number with tens digit 4. The sum of my digits is 5. What number am I?
A
99
B
41
C
32
D
50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
41
Step-by-Step Explanation:
Tens digit = 4. Ones digit = 5 - 4 = 1. Number is 41.
18
Multiple Choice
Hard
1 Mark
If you have 10 tens rods, what new single unit can you trade them for?
A
100 rods
B
1 One cube
C
1 Hundred flat
D
1 Thousand cube
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 Hundred flat
Step-by-Step Explanation:
10 tens = 100 = 1 hundred flat.
19
Multiple Choice
Hard
1 Mark
Why is 41 greater than 14?
A
Digits do not matter
B
Because it was written first
C
Because it ends in an even number
D
Because its tens digit has a higher place value
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because its tens digit has a higher place value
Step-by-Step Explanation:
When comparing 2-digit numbers, the tens place is compared first.
20
Multiple Choice
Medium
1 Mark
A student wrote 'sixty-two' as 602. What error did the student make?
A
602 is correct
B
They wrote 60 instead of putting 6 in the tens place
C
They multiplied by 10
D
They forgot the 2
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
They wrote 60 instead of putting 6 in the tens place
Step-by-Step Explanation:
Sixty-two is 62. Writing 602 places 6 in the hundreds place.
21
Multiple Choice
Medium
1 Mark
Tom looked at 41 and said: 'The digit 4 is only worth 4.' What was Tom's mistake?
A
He gave the face value instead of the place value (which is tens)
B
The number is odd
C
He should have multiplied by 100
D
Tom is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He gave the face value instead of the place value (which is tens)
Step-by-Step Explanation:
Because 4 sits in the tens column, its value is 40.
22
Multiple Choice
Medium
1 Mark
Fill in the blank: 40 + [ ? ] = 41.
A
1
B
0
C
10
D
4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1
Step-by-Step Explanation:
40 + 1 = 41.
23
Multiple Choice
Medium
1 Mark
Complete: [ ? ] tens + 1 ones = 41.
A
1
B
10
C
4
D
40
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4
Step-by-Step Explanation:
The tens digit in 41 is 4.
24
Multiple Choice
Medium
1 Mark
Priya collected 41 stickers in her album. If she gives away 1 stickers, how many full sheets of 10 will she have?
A
5 sheets
B
4 sheets of 10
C
1 sheets
D
0 sheets
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 sheets of 10
Step-by-Step Explanation:
41 - 1 = 40, which is exactly 4 sheets of 10.
25
Multiple Choice
Medium
1 Mark
A school bus has 41 seats. How many groups of 10 passengers can sit in full rows, and how many are left over?
A
10 groups
B
4 groups with no leftovers
C
1 groups of 10 with 4 left over
D
4 groups of 10 with 1 left over
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 groups of 10 with 1 left over
Step-by-Step Explanation:
41 = 4 tens and 1 ones.
26
Multiple Choice
Medium
1 Mark
A toy shop packaged marbles into 4 bags of 10 and had 1 loose marbles. How many marbles were there altogether?
A
41 marbles
B
100 marbles
C
51 marbles
D
5 marbles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
41 marbles
Step-by-Step Explanation:
4 tens = 40. Adding 1 ones gives 41 marbles.
27
Multiple Choice
Easy
1 Mark
What is the standard form of 40 + 1?
A
40
B
41
C
14
D
51
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
41
Step-by-Step Explanation:
40 + 1 = 41.
28
Multiple Choice
Easy
1 Mark
What number is formed by 4 tens and 0 ones?
A
14
B
100
C
4
D
40
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
40
Step-by-Step Explanation:
4 tens + 0 ones = 40.
29
Multiple Choice
Easy
1 Mark
Break 41 into tens and ones:
A
40 tens and 1 ones
B
4 tens and 1 ones
C
1 tens and 4 ones
D
41 tens
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 tens and 1 ones
Step-by-Step Explanation:
41 has 4 tens and 1 ones.
30
Multiple Choice
Easy
1 Mark
In the number 41, what is the place value of the digit 4?
A
0
B
40
C
4
D
100
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
40
Step-by-Step Explanation:
The digit 4 is in the tens place, so its value is 40.
31
Multiple Choice
Hard
1 Mark
How many tens are there in 94?
A
4 tens
B
9 tens
C
10 tens
D
90 tens
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 tens
Step-by-Step Explanation:
94 consists of 9 tens and 4 ones.
32
Multiple Choice
Hard
1 Mark
I am a 2-digit number with tens digit 3. The sum of my digits is 11. What number am I?
A
47
B
99
C
38
D
29
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
38
Step-by-Step Explanation:
Tens digit = 3. Ones digit = 11 - 3 = 8. Number is 38.
33
Multiple Choice
Hard
1 Mark
If you have 10 tens rods, what new single unit can you trade them for?
A
100 rods
B
1 One cube
C
1 Hundred flat
D
1 Thousand cube
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 Hundred flat
Step-by-Step Explanation:
10 tens = 100 = 1 hundred flat.
34
Multiple Choice
Hard
1 Mark
Why is 38 greater than 28?
A
Because it ends in an even number
B
Because its tens digit has a higher place value
C
Digits do not matter
D
Because it was written first
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because its tens digit has a higher place value
Step-by-Step Explanation:
When comparing 2-digit numbers, the tens place is compared first.
35
Multiple Choice
Medium
1 Mark
A student wrote 'sixty-two' as 602. What error did the student make?
A
602 is correct
B
They wrote 60 instead of putting 6 in the tens place
C
They multiplied by 10
D
They forgot the 2
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
They wrote 60 instead of putting 6 in the tens place
Step-by-Step Explanation:
Sixty-two is 62. Writing 602 places 6 in the hundreds place.
36
Multiple Choice
Medium
1 Mark
Tom looked at 38 and said: 'The digit 3 is only worth 3.' What was Tom's mistake?
A
The number is odd
B
He gave the face value instead of the place value (which is tens)
C
He should have multiplied by 100
D
Tom is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He gave the face value instead of the place value (which is tens)
Step-by-Step Explanation:
Because 3 sits in the tens column, its value is 30.
37
Multiple Choice
Medium
1 Mark
Fill in the blank: 30 + [ ? ] = 38.
A
80
B
8
C
3
D
0
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
30 + 8 = 38.
38
Multiple Choice
Medium
1 Mark
Complete: [ ? ] tens + 8 ones = 38.
A
3
B
8
C
10
D
30
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
The tens digit in 38 is 3.
39
Multiple Choice
Medium
1 Mark
Priya collected 38 stickers in her album. If she gives away 8 stickers, how many full sheets of 10 will she have?
A
0 sheets
B
8 sheets
C
4 sheets
D
3 sheets of 10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 sheets of 10
Step-by-Step Explanation:
38 - 8 = 30, which is exactly 3 sheets of 10.
40
Multiple Choice
Medium
1 Mark
A school bus has 38 seats. How many groups of 10 passengers can sit in full rows, and how many are left over?
A
3 groups of 10 with 8 left over
B
10 groups
C
3 groups with no leftovers
D
8 groups of 10 with 3 left over
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 groups of 10 with 8 left over
Step-by-Step Explanation:
38 = 3 tens and 8 ones.
41
Multiple Choice
Medium
1 Mark
A toy shop packaged marbles into 3 bags of 10 and had 8 loose marbles. How many marbles were there altogether?
A
48 marbles
B
11 marbles
C
100 marbles
D
38 marbles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
38 marbles
Step-by-Step Explanation:
3 tens = 30. Adding 8 ones gives 38 marbles.
42
Multiple Choice
Easy
1 Mark
What is the standard form of 30 + 8?
A
37
B
48
C
83
D
38
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
38
Step-by-Step Explanation:
30 + 8 = 38.
43
Multiple Choice
Easy
1 Mark
What number is formed by 3 tens and 0 ones?
A
3
B
100
C
13
D
30
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30
Step-by-Step Explanation:
3 tens + 0 ones = 30.
44
Multiple Choice
Easy
1 Mark
Break 38 into tens and ones:
A
3 tens and 8 ones
B
38 tens
C
8 tens and 3 ones
D
30 tens and 8 ones
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 tens and 8 ones
Step-by-Step Explanation:
38 has 3 tens and 8 ones.
45
Multiple Choice
Easy
1 Mark
In the number 38, what is the place value of the digit 3?
A
100
B
30
C
0
D
3
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30
Step-by-Step Explanation:
The digit 3 is in the tens place, so its value is 30.
46
Multiple Choice
Hard
1 Mark
How many tens are there in 94?
A
4 tens
B
9 tens
C
10 tens
D
90 tens
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9 tens
Step-by-Step Explanation:
94 consists of 9 tens and 4 ones.
47
Multiple Choice
Hard
1 Mark
I am a 2-digit number with tens digit 2. The sum of my digits is 8. What number am I?
A
35
B
99
C
26
D
17
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
26
Step-by-Step Explanation:
Tens digit = 2. Ones digit = 8 - 2 = 6. Number is 26.
48
Multiple Choice
Hard
1 Mark
If you have 10 tens rods, what new single unit can you trade them for?
A
100 rods
B
1 One cube
C
1 Hundred flat
D
1 Thousand cube
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1 Hundred flat
Step-by-Step Explanation:
10 tens = 100 = 1 hundred flat.
49
Multiple Choice
Hard
1 Mark
Why is 26 greater than 16?
A
Because it was written first
B
Because its tens digit has a higher place value
C
Digits do not matter
D
Because it ends in an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because its tens digit has a higher place value
Step-by-Step Explanation:
When comparing 2-digit numbers, the tens place is compared first.
50
Multiple Choice
Medium
1 Mark
A student wrote 'sixty-two' as 602. What error did the student make?
A
602 is correct
B
They wrote 60 instead of putting 6 in the tens place
C
They multiplied by 10
D
They forgot the 2
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
They wrote 60 instead of putting 6 in the tens place
Step-by-Step Explanation:
Sixty-two is 62. Writing 602 places 6 in the hundreds place.