Addition properties worksheet for practicing commutative and associative properties of addition.

Let's solve the Addition Properties worksheet step by step. The goal is to understand and apply basic addition properties, such as:

- Commutative Property: $ a + b = b + a $
- Associative Property: $ (a + b) + c = a + (b + c) $
- Identity Property: $ a + 0 = a $

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Part 1: Write the missing number

We are given equations with missing numbers. We need to find the missing addend.

1. $ \boxed{6} + 0 = 6 $
→ Any number plus zero is itself. So, $ 6 + 0 = 6 $

2. $ 0 + \boxed{6} = 6 $
→ Same as above, $ 0 + 6 = 6 $

3. $ 11 + \boxed{7} = 17 $
→ $ 11 + ? = 17 $ → $ ? = 17 - 11 = 6 $? Wait — let’s double-check:
$ 11 + 6 = 17 $, so the missing number is 6, not 7.

But the equation says $ 11 + \boxed{?} = 17 $. So:
$ ? = 17 - 11 = 6 $

However, in the original problem, it says:
> $ 11 + \boxed{?} = 17 $

So fill in 6.

4. $ \boxed{11} + 10 = 11 $
→ This can't be right! $ 11 + 10 = 21 $, not 11.

Wait — look again:
> $ \boxed{?} + 10 = 11 $

So $ ? = 11 - 10 = 1 $

So correct answer is 1

5. $ 4 + \boxed{8} = 12 $
→ $ 4 + ? = 12 $ → $ ? = 8 $

6. $ \boxed{8} + 4 = 12 $
→ Commutative property: $ 8 + 4 = 12 $

7. $ 13 + \boxed{9} = 19 $
→ $ 13 + ? = 19 $ → $ ? = 6 $

Wait: $ 13 + 6 = 19 $, so missing number is 6

8. $ \boxed{13} + 11 = 19 $?
$ 13 + 11 = 24 $, not 19

The equation is: $ \boxed{?} + 11 = 19 $ → $ ? = 8 $

So missing number is 8

9. $ \boxed{3} + 3 = 6 $
→ $ 3 + 3 = 6 $

10. $ 3 + \boxed{3} = 6 $
→ Same as above, $ 3 + 3 = 6 $

So corrected answers for Part 1:

| Equation | Missing Number |
|--------|----------------|
| 6 + 0 = 6 | 6 |
| 0 + ? = 6 | 6 |
| 11 + ? = 17 | 6 |
| ? + 10 = 11 | 1 |
| 4 + ? = 12 | 8 |
| ? + 4 = 12 | 8 |
| 13 + ? = 19 | 6 |
| ? + 11 = 19 | 8 |
| 3 + 3 = 6 | 3 |
| 3 + ? = 6 | 3 |

Wait — there seems to be an error in the printed version. Let's recheck what's actually written.

Looking at your image (based on description), here are the actual equations:

1. $ \boxed{6} + 0 = 6 $ → already filled
2. $ 0 + \boxed{6} = 6 $ → filled
3. $ 11 + \boxed{?} = 17 $ → $ ? = 6 $
4. $ \boxed{?} + 10 = 11 $ → $ ? = 1 $
5. $ 4 + \boxed{?} = 12 $ → $ ? = 8 $
6. $ \boxed{?} + 4 = 12 $ → $ ? = 8 $
7. $ 13 + \boxed{?} = 19 $ → $ ? = 6 $
8. $ \boxed{?} + 11 = 19 $ → $ ? = 8 $
9. $ \boxed{3} + 3 = 6 $ → filled
10. $ 3 + \boxed{?} = 6 $ → $ ? = 3 $

✔ All correct.

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Part 2: Circle the addition fact that has the same sum

#### A. Sum of 2 + 3 = 5

Find which of the following equals 5:

- $ 1 + 4 = 5 $ ✔
- $ 4 + 2 = 6 $ ✘
- $ 3 + 2 = 5 $ ✔

But the options are:
> $ 1 + 4 $, $ 4 + 2 $, $ 3 + 2 $

So both $ 1 + 4 $ and $ 3 + 2 $ equal 5. But the instruction says “circle the addition fact” — singular.

Wait — maybe only one is expected?

But $ 2 + 3 = 5 $, and $ 1 + 4 = 5 $, $ 3 + 2 = 5 $

So both $ 1 + 4 $ and $ 3 + 2 $ have the same sum.

But perhaps we're to pick one.

Wait — check the next ones.

#### B. Sum of 3 + 8 = 11

Which of these equals 11?

- $ 8 + 5 = 13 $ ✘
- $ 6 + 6 = 12 $ ✘
- $ 5 + 9 = 14 $ ✘

None equal 11?

Wait: $ 3 + 8 = 11 $

Check the options:

- $ 8 + 5 = 13 $
- $ 6 + 6 = 12 $
- $ 5 + 9 = 14 $

None equal 11. That can’t be.

Wait — maybe typo?

Perhaps the question is: "Circle the addition fact that has the same sum as 3 + 8"

But none of the listed facts equal 11.

Unless...

Wait — maybe the options are:

> $ 8 + 5 $, $ 6 + 6 $, $ 5 + 9 $

All are wrong.

But $ 3 + 8 = 11 $, and no option adds to 11.

Wait — perhaps the intended answer is none, but that’s odd.

Alternatively, maybe the problem is misprinted.

Wait — let's look at the image again.

Actually, in the original worksheet:

> Circle the addition fact that has the same sum as 3 + 8.

Then:
- $ 8 + 5 = 13 $
- $ 6 + 6 = 12 $
- $ 5 + 9 = 14 $

None equal 11.

But wait — $ 3 + 8 = 11 $, so we need a pair that also sums to 11.

But none do.

Is there a typo?

Possibility: Maybe it's supposed to be 3 + 5 = 8, then circle something with sum 8?

But no.

Alternatively, perhaps the options are different.

Wait — maybe the options are:

> $ 8 + 5 $, $ 6 + 6 $, $ 5 + 9 $

Still all greater than 11.

Wait — unless $ 3 + 8 = 11 $, and we’re to find another fact that also sums to 11.

But none of the choices do.

This suggests a possible error in the worksheet.

But let’s assume the numbers are correct.

Wait — could it be that $ 8 + 5 = 13 $, $ 6 + 6 = 12 $, $ 5 + 9 = 14 $ — all wrong.

But maybe the intended answer is none, but that’s unlikely.

Wait — perhaps I misread.

Wait — look at the next section:

> Circle the addition fact that has the same sum as 1 + 7.

So $ 1 + 7 = 8 $

Options:
- $ 8 + 2 = 10 $
- $ 2 + 5 = 7 $
- $ 7 + 1 = 8 $ ✔

So $ 7 + 1 = 8 $, same as $ 1 + 7 $

So circle $ 7 + 1 $

Now back to $ 3 + 8 = 11 $

Options:
- $ 8 + 5 = 13 $
- $ 6 + 6 = 12 $
- $ 5 + 9 = 14 $

None equal 11.

But $ 3 + 8 = 11 $, and none of the choices sum to 11.

Wait — is it possible that $ 5 + 6 = 11 $? But it's not listed.

Maybe the options are:

> $ 8 + 5 $, $ 6 + 6 $, $ 5 + 9 $

Still no.

Wait — could the question be "has the same sum as 3 + 8", and one of them is $ 8 + 3 $? But it's not listed.

Only $ 8 + 5 $, etc.

So this seems like a mistake.

But perhaps the intended answer is $ 8 + 5 $? No — 13 ≠ 11.

Wait — unless it's $ 3 + 8 = 11 $, and the options include $ 5 + 6 $, but it doesn't.

Alternatively, maybe the sum is 8, not 11?

No.

Wait — let's skip and go to the next.

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#### C. Sum of 1 + 7 = 8

Options:
- $ 8 + 2 = 10 $
- $ 2 + 5 = 7 $
- $ 7 + 1 = 8 $ ✔

So circle $ 7 + 1 $

✔️ Correct.

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#### D. Sum of 10 + 6 = 16

Options:
- $ 7 + 8 = 15 $
- $ 8 + 9 = 17 $
- $ 6 + 10 = 16 $ ✔

So $ 6 + 10 = 16 $, same as $ 10 + 6 $

So circle $ 6 + 10 $

✔️ Correct.

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#### E. Sum of 4 + 2 = 6

Options:
- $ 1 + 6 = 7 $
- $ 2 + 4 = 6 $ ✔
- $ 3 + 2 = 5 $

So $ 2 + 4 = 6 $, same as $ 4 + 2 $

So circle $ 2 + 4 $

✔️ Correct.

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#### F. Sum of 9 + 5 = 14

Options:
- $ 5 + 9 = 14 $ ✔
- $ 7 + 6 = 13 $
- $ 10 + 5 = 15 $

So $ 5 + 9 = 14 $, same as $ 9 + 5 $

So circle $ 5 + 9 $

✔️ Correct.

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Now back to the problematic one: Sum of 3 + 8 = 11

Options:
- $ 8 + 5 = 13 $
- $ 6 + 6 = 12 $
- $ 5 + 9 = 14 $

None equal 11.

But wait — is it possible that the question meant 3 + 5 = 8, or is there a typo?

Alternatively, perhaps the options are:

> $ 8 + 5 $, $ 6 + 6 $, $ 5 + 9 $

And the answer is none, but that’s not standard.

Wait — maybe it's $ 3 + 8 = 11 $, and the correct choice is $ 5 + 6 = 11 $, but it's not listed.

But in the image, it's clearly:

> $ 8 + 5 $, $ 6 + 6 $, $ 5 + 9 $

So all are incorrect.

This appears to be a mistake in the worksheet.

But let’s consider: Could it be that the question is "same sum as 3 + 8", and the answer is none?

But that’s not typical for such worksheets.

Alternatively, maybe the intended sum was 3 + 5 = 8, and the options were meant to be different.

But based on what's written, there is no correct answer among the choices.

But let’s double-check the original image.

Wait — perhaps I misread the options.

Let me re-express the section:

> Circle the addition fact that has the same sum as 3 + 8.
>
> $ 8 + 5 $
> $ 6 + 6 $
> $ 5 + 9 $

All are:
- $ 8 + 5 = 13 $
- $ 6 + 6 = 12 $
- $ 5 + 9 = 14 $

While $ 3 + 8 = 11 $

So none match.

Conclusion: This is likely a typo in the worksheet.

Possible fixes:
- Change $ 3 + 8 $ to $ 3 + 5 = 8 $, then $ 5 + 3 $ would be the answer.
- Or change $ 8 + 5 $ to $ 8 + 3 $, then $ 8 + 3 = 11 $, same as $ 3 + 8 $

But as it stands, no option matches.

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Final Answers

#### Part 1: Fill in the blanks

| Equation | Answer |
|--------|--------|
| 6 + 0 = 6 | 6 |
| 0 + ? = 6 | 6 |
| 11 + ? = 17 | 6 |
| ? + 10 = 11 | 1 |
| 4 + ? = 12 | 8 |
| ? + 4 = 12 | 8 |
| 13 + ? = 19 | 6 |
| ? + 11 = 19 | 8 |
| 3 + 3 = 6 | 3 |
| 3 + ? = 6 | 3 |

#### Part 2: Circle the matching sum

A. $ 2 + 3 = 5 $ → Circle $ 1 + 4 $ or $ 3 + 2 $ — but since only one to choose, likely $ 1 + 4 $ or $ 3 + 2 $ — both are correct, but probably $ 1 + 4 $ is intended.

Wait — but $ 1 + 4 = 5 $, yes.

But $ 3 + 2 = 5 $, also yes.

But the options are:

- $ 1 + 4 $
- $ 4 + 2 $
- $ 3 + 2 $

So $ 1 + 4 = 5 $, $ 3 + 2 = 5 $, $ 4 + 2 = 6 $

So circle $ 1 + 4 $ and $ 3 + 2 $ — but if only one, perhaps $ 1 + 4 $

But the instruction says “circle the addition fact”, singular.

So likely $ 1 + 4 $ is expected.

But $ 3 + 2 $ is also correct.

However, $ 3 + 2 $ is commutative of $ 2 + 3 $, so both are valid.

But let’s see the rest.

B. $ 3 + 8 = 11 $ → None of the options sum to 11. Error in worksheet.

C. $ 1 + 7 = 8 $ → Circle $ 7 + 1 $

D. $ 10 + 6 = 16 $ → Circle $ 6 + 10 $

E. $ 4 + 2 = 6 $ → Circle $ 2 + 4 $

F. $ 9 + 5 = 14 $ → Circle $ 5 + 9 $

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Final Answer Summary:

#### Part 1:
Fill in:
- 6, 6, 6, 1, 8, 8, 6, 8, 3, 3

#### Part 2:
- A. Circle $ 1 + 4 $ or $ 3 + 2 $ → $ 1 + 4 $ (or both)
- B. No correct answer — likely typo
- C. Circle $ 7 + 1 $
- D. Circle $ 6 + 10 $
- E. Circle $ 2 + 4 $
- F. Circle $ 5 + 9 $

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Recommendation:

The worksheet has a typo in Part 2B. It should either:
- Change $ 3 + 8 $ to $ 3 + 5 $, or
- Change one of the options to $ 8 + 3 $ or $ 5 + 6 $, or
- Replace $ 8 + 5 $ with $ 8 + 3 $

Otherwise, no correct choice exists.

For now, assuming the others are correct, the student should circle:
- A: $ 1 + 4 $
- B: No valid choice
- C: $ 7 + 1 $
- D: $ 6 + 10 $
- E: $ 2 + 4 $
- F: $ 5 + 9 $

But for B, it may be a mistake.

If you have access to the original image, please verify the numbers.

Otherwise, the rest are correct.

✔ Final Answer:

Part 1:
6, 6, 6, 1, 8, 8, 6, 8, 3, 3

Part 2:
- A: $ 1 + 4 $ or $ 3 + 2 $
- B: No match (likely error)
- C: $ 7 + 1 $
- D: $ 6 + 10 $
- E: $ 2 + 4 $
- F: $ 5 + 9 $

Let me know if you want the worksheet corrected or explained further!