Math worksheet for practicing addition properties with examples and multiple-choice options.

Let's solve each part of the problem step by step and identify the correct property of addition used.

---

1. 15 + 0 = ?

- Sum:
$ 15 + 0 = 15 $

- Property Used:
This shows that adding zero to a number does not change its value.
✔ Identity Property of Addition

> 🔹 Identity Property of Addition: Any number plus zero equals the number itself.

---

2. 3 + 4 = ___ and 4 + 3 = ___

- Sums:
- $ 3 + 4 = 7 $
- $ 4 + 3 = 7 $

- Property Used:
The order of the numbers changed, but the sum remained the same.
✔ Commutative Property of Addition

> 🔹 Commutative Property of Addition: Changing the order of addends does not change the sum.

---

3. (16 + 7) + 23 = 16 + (7 + 23)

We are given:
$$
(16 + 7) + 23 = 16 + (7 + 23)
$$

Now fill in the blanks:

- $ \_\_\_ + 23 = 16 + \_\_\_ $
→ $ (16 + 7) + 23 = 16 + (7 + 23) $
So:
- First blank: 16 + 7 → so 16 + 7 + 23
- Second blank: 7 + 23

So:
- $ \boxed{16 + 7} + 23 = 16 + \boxed{7 + 23} $

Now compute both sides:
- Left: $ (16 + 7) + 23 = 23 + 23 = 46 $
- Right: $ 16 + (7 + 23) = 16 + 30 = 46 $

So:
- $ \boxed{46} = \boxed{46} $

- Property Used:
The grouping of numbers changed, but the sum stayed the same.
✔ Associative Property of Addition

> 🔹 Associative Property of Addition: When adding three or more numbers, the way they are grouped does not affect the sum.

---

4. Choose the addition property you used.

We have two addition problems shown:

#### First Problem:
```
46
55
+ 24
-----
```

Wait — actually, it's written as:

```
46
55
+ 24
-----
```

But this is likely meant to be two separate additions with different groupings.

Let’s interpret carefully.

There are two sets of vertical addition problems.

---

#### Set 1:
```
46
55
+ 24
-----
```

This seems like one addition problem, but maybe it's showing rearrangement?

Wait — look at the next one:

#### Set 2:
```
55
46
+ 24
-----
```

And there's an arrow pointing from:
```
55
46
+ 24
```
to
```
55
+ 70
```

Hmm — let's analyze.

It looks like the first column is:
```
46
55
+ 24
```
Then the second is:
```
55
46
+ 24
```
Then the third has an arrow from that to:
```
55
+ 70
```

Ah! Probably this is illustrating regrouping or reordering.

Let’s try to understand.

The first one:
```
46
55
+ 24
```
→ Sum: 46 + 55 + 24 = ?

Let’s compute:
- 46 + 55 = 101
- 101 + 24 = 125

Second one:
```
55
46
+ 24
```
Same numbers, just reordered → still 125

So the order changed, but sum didn’t → Commutative Property

But then we see:
From:
```
55
46
+ 24
```
→ Arrow to:
```
55
+ 70
```

Wait — 46 + 24 = 70!

So this is grouping: combining 46 and 24 first, then adding to 55.

So:
- $ 55 + 46 + 24 = 55 + (46 + 24) = 55 + 70 = 125 $

So this is changing the grouping — that’s the Associative Property.

So here's what’s happening:

- First column:
Adding 46, 55, 24 → no specific order shown yet.

- Second column:
Shows reordering: 55, 46, 24 → same numbers, different order → Commutative Property

- Third column:
Shows grouping: (46 + 24) = 70, then 55 + 70 → Associative Property

So now, we have two boxes to label:

> First Box:
> ```
> 46
> 55
> +24
> -----
> ```
> Then it shows:
> ```
> 55
> 46
> +24
> ```
> → This is reordering the addends → Commutative Property of Addition

> Second Box:
> Arrow from:
> ```
> 55
> 46
> +24
> ```
> to:
> ```
> 55
> +70
> ```
> → Because 46 + 24 = 70 → grouping changed → Associative Property of Addition

So final answers:

---

✔ Final Answers:

---

1. 15 + 0 = 15
→ Identity Property of Addition

---

2. 3 + 4 = 7
4 + 3 = 7
→ Commutative Property of Addition

---

3. (16 + 7) + 23 = 16 + (7 + 23)
→ $ \boxed{16 + 7} + 23 = 16 + \boxed{7 + 23} $
→ $ \boxed{46} = \boxed{46} $
→ Associative Property of Addition

---

4. Choose the addition property you used.

- First:
Reordering addends → Commutative Property of Addition

- Second:
Regrouping (combining 46 and 24 first) → Associative Property of Addition

---

✔ Final Answer Summary:

1. $ 15 + 0 = \boxed{15} $ → Identity Property of Addition
2. $ 3 + 4 = \boxed{7} $, $ 4 + 3 = \boxed{7} $ → Commutative Property of Addition
3. $ \boxed{16 + 7} + 23 = 16 + \boxed{7 + 23} $, $ \boxed{46} = \boxed{46} $ → Associative Property of Addition
4.
- First: Commutative Property of Addition
- Second: Associative Property of Addition

---

✔ All solved!