Place value math worksheet for elementary students.
A math worksheet titled "Place Value" with exercises for writing numbers in expanded form, filling in missing digits, and identifying place values for three-digit numbers.
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Show Answer Key & Explanations
Step-by-step solution for: Place Value online exercise for Grade 4
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Show Answer Key & Explanations
Step-by-step solution for: Place Value online exercise for Grade 4
Let's solve each part of this Place Value worksheet step by step and explain the reasoning.
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We are given sums in expanded form and need to write the standard number.
#### Example:
800 + 40 + 9 = 849
Now solve:
1) 700 + 50 + 8 = ?
→ 700 + 50 = 750; 750 + 8 = 758
2) 100 + 60 + 2 = ?
→ 100 + 60 = 160; 160 + 2 = 162
3) 400 + 90 + ? → Wait, there's a missing number. But looking at the format, it seems like the "+" after 90 is likely a typo or formatting issue. Let’s assume it’s meant to be 400 + 90 + 0, but that would be 490. However, since no digit is given, perhaps it's a mistake. But if we look at the pattern, maybe it's supposed to be 400 + 90 + 0? Or possibly it's missing a number. But based on the structure, I’ll assume it's 400 + 90 + 0 = 490, but let’s check if there’s a better interpretation.
Wait — actually, the blank is after "+", so it might be a typo. Looking again:
"3) 400 + 90 + = " — this is incomplete. It's missing a number. Likely a formatting error. Perhaps it was meant to be 400 + 90 + 0 or 400 + 90 + something. But since nothing is written, and the example shows full expressions, it's probably a typo. Let's skip for now and come back.
But wait — maybe it's 400 + 90 + 0? That would be 490. But let’s assume it's just 400 + 90 — but then it should be 490.
Alternatively, maybe it's 400 + 90 + 0, but still, no number is provided. So likely a typo. We'll go with 490 assuming the ones place is 0.
But let’s check other problems. Problem 7 is “500 + 3”, so similar style.
So likely, 3) 400 + 90 + 0 = 490 → 490
4) 80 + 5 = ?
→ 80 + 5 = 85
5) 900 + 70 + 7 = ?
→ 900 + 70 = 970; 970 + 7 = 977
6) 800 + 30 + 4 = ?
→ 800 + 30 = 830; 830 + 4 = 834
7) 500 + 3 = ?
→ 500 + 3 = 503
8) 600 + 10 + 3 = ?
→ 600 + 10 = 610; 610 + 3 = 613
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We're given a number broken into parts, and one part is missing.
Example: 475 = 400 + 70 + 5
9) 573 = 500 + ___ + 3
→ 573 - 500 = 73; 73 - 3 = 70 → So missing part is 70
10) 826 = ___ + 20 + 6
→ 826 - 20 = 806; 806 - 6 = 800 → So missing part is 800
11) 219 = 200 + 10 + ___
→ 219 - 200 = 19; 19 - 10 = 9 → So missing part is 9
12) 357 = 300 + 50 + ___
→ 357 - 300 = 57; 57 - 50 = 7 → So missing part is 7
13) 702 = 700 + ___ + 2
→ 702 - 700 = 2; 2 - 2 = 0 → So missing part is 0
14) 499 = 400 + ___ + 9
→ 499 - 400 = 99; 99 - 9 = 90 → So missing part is 90
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Break down the number into hundreds, tens, and ones.
Example: 348 = 3 hundreds + 4 tens + 8 ones
15) 819 = ___ hundreds + ___ tens + ___ ones
→ 800 = 8 hundreds
→ 10 = 1 ten
→ 9 = 9 ones
→ 8 hundreds + 1 ten + 9 ones
16) 407 = ___ hundreds + ___ tens + ___ ones
→ 400 = 4 hundreds
→ 0 tens (since 07 has no tens)
→ 7 ones
→ 4 hundreds + 0 tens + 7 ones
17) 539 = ___ hundreds + ___ tens + ___ ones
→ 500 = 5 hundreds
→ 30 = 3 tens
→ 9 = 9 ones
→ 5 hundreds + 3 tens + 9 ones
18) 721 = ___ hundreds + ___ tens + ___ ones
→ 700 = 7 hundreds
→ 20 = 2 tens
→ 1 = 1 one
→ 7 hundreds + 2 tens + 1 one
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#### Part 1: Expanded Form → Standard Number
1) 758
2) 162
3) 490 *(assuming missing addend is 0)*
4) 85
5) 977
6) 834
7) 503
8) 613
#### Part 2: Missing Numbers in Expanded Form
9) 70
10) 800
11) 9
12) 7
13) 0
14) 90
#### Part 3: Place Value Breakdown
15) 8 hundreds + 1 ten + 9 ones
16) 4 hundreds + 0 tens + 7 ones
17) 5 hundreds + 3 tens + 9 ones
18) 7 hundreds + 2 tens + 1 one
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- Expanded form means breaking a number into its place values (hundreds, tens, ones).
- To combine: Add all the parts together.
- To break apart: Identify how many hundreds, tens, and ones are in the number.
- Always remember:
- Hundreds: first digit from left (e.g., 8 in 819)
- Tens: second digit
- Ones: last digit
This helps understand how numbers are structured and improves number sense.
Let me know if you'd like this printed as a filled-in worksheet!
---
Part 1: Write the number using the expanded form
We are given sums in expanded form and need to write the standard number.
#### Example:
800 + 40 + 9 = 849
Now solve:
1) 700 + 50 + 8 = ?
→ 700 + 50 = 750; 750 + 8 = 758
2) 100 + 60 + 2 = ?
→ 100 + 60 = 160; 160 + 2 = 162
3) 400 + 90 + ? → Wait, there's a missing number. But looking at the format, it seems like the "+" after 90 is likely a typo or formatting issue. Let’s assume it’s meant to be 400 + 90 + 0, but that would be 490. However, since no digit is given, perhaps it's a mistake. But if we look at the pattern, maybe it's supposed to be 400 + 90 + 0? Or possibly it's missing a number. But based on the structure, I’ll assume it's 400 + 90 + 0 = 490, but let’s check if there’s a better interpretation.
Wait — actually, the blank is after "+", so it might be a typo. Looking again:
"3) 400 + 90 + = " — this is incomplete. It's missing a number. Likely a formatting error. Perhaps it was meant to be 400 + 90 + 0 or 400 + 90 + something. But since nothing is written, and the example shows full expressions, it's probably a typo. Let's skip for now and come back.
But wait — maybe it's 400 + 90 + 0? That would be 490. But let’s assume it's just 400 + 90 — but then it should be 490.
Alternatively, maybe it's 400 + 90 + 0, but still, no number is provided. So likely a typo. We'll go with 490 assuming the ones place is 0.
But let’s check other problems. Problem 7 is “500 + 3”, so similar style.
So likely, 3) 400 + 90 + 0 = 490 → 490
4) 80 + 5 = ?
→ 80 + 5 = 85
5) 900 + 70 + 7 = ?
→ 900 + 70 = 970; 970 + 7 = 977
6) 800 + 30 + 4 = ?
→ 800 + 30 = 830; 830 + 4 = 834
7) 500 + 3 = ?
→ 500 + 3 = 503
8) 600 + 10 + 3 = ?
→ 600 + 10 = 610; 610 + 3 = 613
---
Part 2: Write the correct number in the box
We're given a number broken into parts, and one part is missing.
Example: 475 = 400 + 70 + 5
9) 573 = 500 + ___ + 3
→ 573 - 500 = 73; 73 - 3 = 70 → So missing part is 70
10) 826 = ___ + 20 + 6
→ 826 - 20 = 806; 806 - 6 = 800 → So missing part is 800
11) 219 = 200 + 10 + ___
→ 219 - 200 = 19; 19 - 10 = 9 → So missing part is 9
12) 357 = 300 + 50 + ___
→ 357 - 300 = 57; 57 - 50 = 7 → So missing part is 7
13) 702 = 700 + ___ + 2
→ 702 - 700 = 2; 2 - 2 = 0 → So missing part is 0
14) 499 = 400 + ___ + 9
→ 499 - 400 = 99; 99 - 9 = 90 → So missing part is 90
---
Part 3: Fill in the correct digit for each place value
Break down the number into hundreds, tens, and ones.
Example: 348 = 3 hundreds + 4 tens + 8 ones
15) 819 = ___ hundreds + ___ tens + ___ ones
→ 800 = 8 hundreds
→ 10 = 1 ten
→ 9 = 9 ones
→ 8 hundreds + 1 ten + 9 ones
16) 407 = ___ hundreds + ___ tens + ___ ones
→ 400 = 4 hundreds
→ 0 tens (since 07 has no tens)
→ 7 ones
→ 4 hundreds + 0 tens + 7 ones
17) 539 = ___ hundreds + ___ tens + ___ ones
→ 500 = 5 hundreds
→ 30 = 3 tens
→ 9 = 9 ones
→ 5 hundreds + 3 tens + 9 ones
18) 721 = ___ hundreds + ___ tens + ___ ones
→ 700 = 7 hundreds
→ 20 = 2 tens
→ 1 = 1 one
→ 7 hundreds + 2 tens + 1 one
---
✔ Final Answers:
#### Part 1: Expanded Form → Standard Number
1) 758
2) 162
3) 490 *(assuming missing addend is 0)*
4) 85
5) 977
6) 834
7) 503
8) 613
#### Part 2: Missing Numbers in Expanded Form
9) 70
10) 800
11) 9
12) 7
13) 0
14) 90
#### Part 3: Place Value Breakdown
15) 8 hundreds + 1 ten + 9 ones
16) 4 hundreds + 0 tens + 7 ones
17) 5 hundreds + 3 tens + 9 ones
18) 7 hundreds + 2 tens + 1 one
---
📝 Explanation Summary:
- Expanded form means breaking a number into its place values (hundreds, tens, ones).
- To combine: Add all the parts together.
- To break apart: Identify how many hundreds, tens, and ones are in the number.
- Always remember:
- Hundreds: first digit from left (e.g., 8 in 819)
- Tens: second digit
- Ones: last digit
This helps understand how numbers are structured and improves number sense.
Let me know if you'd like this printed as a filled-in worksheet!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet level 4.