Understanding place value, up to 3-digit numbers | 2nd grade Math ... - Free Printable

Let's solve the "Place Value" worksheet step by step. I'll go through each section and explain the solutions.

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Section 1: Write the correct number in the box.

We are given a number with missing digits, and we need to find the missing digit based on the equation.

> 630 = 630 + 20 + [ ]

We know:
- 630 + 20 = 650
- So, 630 = 630 + 20 + x → 630 = 650 + x

Wait — this doesn't make sense because 630 ≠ 650 + x unless x is negative. Let’s re-express:

Actually, it says:
> 630 = 630 + 20 + [ ]

That would mean:
630 = 650 + [ ] → so [ ] = 630 - 650 = -20, which is impossible for a place value digit.

But wait — look at the example:

It says:
> 630 = 630 + 20 + [ ]
And there’s a blank box, and then below it says:
> Hundreds | Tens | Ones

And the number 630 is shown as:
6 | 3 | 0

So perhaps this is a decomposition of 630 into hundreds, tens, and ones.

Let’s interpret:

630 = 600 (hundreds) + 30 (tens) + 0 (ones)

But the equation says:
> 630 = 630 + 20 + [ ]

That still doesn’t add up.

Wait — maybe there’s a typo or misalignment.

Looking again: The problem says:

> Write the correct number in the box.
> 630 = 630 + 20 + [ ]

This can only be true if [ ] = -20, which is invalid.

Alternatively, maybe the intention was:

> 630 = 600 + 30 + [ ]

Then [ ] = 0 → that makes sense.

But the problem says 630 = 630 + 20 + [ ], which is clearly wrong unless it's a trick.

Wait — let's look at the second line:

> 630 = 630 + 20 + [ ]

But then it shows:
```
6 | 3 | 0
```

So perhaps it's asking: what number completes the equation?

But 630 = 630 + 20 + x → x = -20 → not possible.

Alternatively, maybe the equation is meant to represent decomposition, and the numbers are not added correctly.

Wait — perhaps the first line is a mistake, and it should be:

> 630 = 600 + 30 + [ ]

Then [ ] = 0 → answer is 0

But the way it's written is: 630 = 630 + 20 + [ ]

That suggests an error.

But looking at the next lines, they make more sense.

Let me skip ahead and see the pattern.

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Section 2: Write the correct number in the box.

These are equations where you fill in the missing number.

Let’s solve them one by one.

#### 1. 634 = 600 + 30 + [ ]
- 600 + 30 = 630
- 634 - 630 = 4 → so [ ] = 4

✔ Answer: 4

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#### 2. 285 = 200 + [ ] + 5
- 200 + 5 = 205
- 285 - 205 = 80 → so [ ] = 80

✔ Answer: 80

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#### 3. 539 = 500 + [ ] + 9
- 500 + 9 = 509
- 539 - 509 = 30 → so [ ] = 30

✔ Answer: 30

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#### 4. 492 = 400 + [ ] + 2
- 400 + 2 = 402
- 492 - 402 = 90 → so [ ] = 90

✔ Answer: 90

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#### 5. 825 = 800 + 20 + [ ]
- 800 + 20 = 820
- 825 - 820 = 5 → so [ ] = 5

✔ Answer: 5

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#### 6. 738 = 700 + 30 + [ ]
- 700 + 30 = 730
- 738 - 730 = 8 → so [ ] = 8

✔ Answer: 8

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#### 7. 696 = [ ] + 90 + 6
- 90 + 6 = 96
- 696 - 96 = 600 → so [ ] = 600

✔ Answer: 600

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#### 8. 715 = [ ] + 10 + 5
- 10 + 5 = 15
- 715 - 15 = 700 → so [ ] = 700

✔ Answer: 700

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#### 9. 579 = 500 + [ ] + 9
- 500 + 9 = 509
- 579 - 509 = 70 → so [ ] = 70

✔ Answer: 70

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#### 10. 953 = 900 + [ ] + 3
- 900 + 3 = 903
- 953 - 903 = 50 → so [ ] = 50

✔ Answer: 50

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Section 3: Write the correct number in the box.

Now we have equations like:

#### 1. 307 = 300 + [ ] + 7
- 300 + 7 = 307
- So [ ] = 0 → 0

✔ Answer: 0

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#### 2. 850 = 800 + 50 + [ ]
- 800 + 50 = 850
- So [ ] = 0 → 0

✔ Answer: 0

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#### 3. 621 = 600 + [ ] + 1
- 600 + 1 = 601
- 621 - 601 = 20 → so [ ] = 20

✔ Answer: 20

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#### 4. 501 = 500 + [ ] + 1
- 500 + 1 = 501
- So [ ] = 0 → 0

✔ Answer: 0

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Section 4: Write the number that has the same as the word.

Now convert words to numbers.

#### 1. two hundreds, six tens, three ones
- 2 × 100 = 200
- 6 × 10 = 60
- 3 × 1 = 3
- Total: 200 + 60 + 3 = 263

✔ Answer: 263

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#### 2. four hundreds, six tens, nine ones
- 400 + 60 + 9 = 469

✔ Answer: 469

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#### 3. eight hundreds, five tens, three ones
- 800 + 50 + 3 = 853

✔ Answer: 853

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#### 4. seven hundreds, six tens, eight ones
- 700 + 60 + 8 = 768

✔ Answer: 768

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#### 5. nine hundreds, four tens, six ones
- 900 + 40 + 6 = 946

✔ Answer: 946

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Section 5: Look at the cards. Make the greatest and smallest number you can from the digits.

Digits given: 8, 2, 5

We need to form the greatest and smallest 3-digit numbers using these digits exactly once.

#### Greatest number:
- Arrange digits in descending order: 8, 5, 2 → 852

✔ Greatest: 852

#### Smallest number:
- Arrange digits in ascending order: 2, 5, 8 → 258

✔ Smallest: 258

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✔ Final Answers Summary:

#### Section 1: First Box (likely typo)
> 630 = 630 + 20 + [ ] → This seems incorrect.
But if it's supposed to be 630 = 600 + 30 + [ ], then [ ] = 0

But since the box already shows 6 | 3 | 0, and the question says "write the number that is the same as..." — probably just confirming the number is 630.

So perhaps the first line is just showing the decomposition.

But the actual problem starts from the second line.

So let's compile all answers.

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✔ Complete Answer Key:

#### Section 2: Fill in the blanks

1. 634 = 600 + 30 + 4
2. 285 = 200 + 80 + 5
3. 539 = 500 + 30 + 9
4. 492 = 400 + 90 + 2
5. 825 = 800 + 20 + 5
6. 738 = 700 + 30 + 8
7. 696 = 600 + 90 + 6
8. 715 = 700 + 10 + 5
9. 579 = 500 + 70 + 9
10. 953 = 900 + 50 + 3

#### Section 3: Fill in the blanks

1. 307 = 300 + 0 + 7
2. 850 = 800 + 50 + 0
3. 621 = 600 + 20 + 1
4. 501 = 500 + 0 + 1

#### Section 4: Word to Number

1. two hundreds, six tens, three ones → 263
2. four hundreds, six tens, nine ones → 469
3. eight hundreds, five tens, three ones → 853
4. seven hundreds, six tens, eight ones → 768
5. nine hundreds, four tens, six ones → 946

#### Section 5: Greatest and Smallest Numbers

- Digits: 8, 2, 5
- Greatest: 852
- Smallest: 258

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🟩 Final Answer:

All filled-in values:

| Problem | Answer |
|--------|--------|
| 634 = 600 + 30 + ? | 4 |
| 285 = 200 + ? + 5 | 80 |
| 539 = 500 + ? + 9 | 30 |
| 492 = 400 + ? + 2 | 90 |
| 825 = 800 + 20 + ? | 5 |
| 738 = 700 + 30 + ? | 8 |
| 696 = ? + 90 + 6 | 600 |
| 715 = ? + 10 + 5 | 700 |
| 579 = 500 + ? + 9 | 70 |
| 953 = 900 + ? + 3 | 50 |
| 307 = 300 + ? + 7 | 0 |
| 850 = 800 + 50 + ? | 0 |
| 621 = 600 + ? + 1 | 20 |
| 501 = 500 + ? + 1 | 0 |
| two hundreds, six tens, three ones | 263 |
| four hundreds, six tens, nine ones | 469 |
| eight hundreds, five tens, three ones | 853 |
| seven hundreds, six tens, eight ones | 768 |
| nine hundreds, four tens, six ones | 946 |
| Greatest number from 8,2,5 | 852 |
| Smallest number from 8,2,5 | 258 |

✔ All solved!

Let me know if you'd like a printable version or explanation for any specific part!