Repeated Addition - Free Printable

Let's solve each part of this "Multiplication with Bar Models" worksheet step by step. The goal is to:

1. Complete the bar model (if needed),
2. Write a repeated addition sentence, and
3. Write a multiplication fact.

---

a.

Bar model:
```
[3] [3] [3] [3]
```

- Each box has 3.
- There are 4 boxes.

✔ Repeated addition:
3 + 3 + 3 + 3 = 12

✔ Multiplication fact:
4 × 3 = 12

---

b.

Bar model:
```
[5] [5] [5] [5] [5] [5]
```

- Each box has 5.
- There are 6 boxes.

✔ Repeated addition:
5 + 5 + 5 + 5 + 5 + 5 = 30

✔ Multiplication fact:
6 × 5 = 30

---

c.

Bar model:
```
[ ] [ ] [ ] [ ]
12
```
Each box has 2, and total is 12.

We need to find how many boxes there are.

- Total = 12
- Each box = 2
- Number of boxes = 12 ÷ 2 = 6

So we draw 6 boxes, each with 2.

✔ Repeated addition:
2 + 2 + 2 + 2 + 2 + 2 = 12

✔ Multiplication fact:
6 × 2 = 12

---

d.

Bar model:
```
[ ] [ ] [ ] [ ]
32
```
Each box has the same value, total = 32.

But number of boxes? Let’s count — it shows 4 boxes.

So:
32 ÷ 4 = 8 → each box has 8.

✔ Repeated addition:
8 + 8 + 8 + 8 = 32

✔ Multiplication fact:
4 × 8 = 32

---

e.

Bar model:
```
[ ] [ ]
18
```
Two equal boxes, total = 18

So each box = 18 ÷ 2 = 9

✔ Repeated addition:
9 + 9 = 18

✔ Multiplication fact:
2 × 9 = 18

---

f.

Bar model:
```
[ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ]
4
```
8 boxes, total = 4 → so each box = 4 ÷ 8 = 0.5

But since we're dealing with whole numbers in elementary math, let's double-check.

Wait — if the total is 4 and there are 8 boxes, then each box must be 0.5.

But this may not be intended for basic multiplication. Alternatively, maybe the total is not 4?

Wait — looking at the image: the total is written as 4, but the bar is split into 8 parts.

That means:
Each part = 4 ÷ 8 = 0.5

But this is unusual for such worksheets. Let's assume it's correct.

✔ Repeated addition:
0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 = 4

✔ Multiplication fact:
8 × 0.5 = 4

But perhaps the intention was that each box has 1, and total is 8? But the total says 4.

Alternatively, maybe the total is 8, and it's labeled wrong? But based on what's shown, total is 4.

So we proceed:

✔ Repeated addition:
0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 = 4

✔ Multiplication fact:
8 × 0.5 = 4

But since this is likely meant for whole numbers, let's consider: maybe the total is 8, and the label is misread?

Wait — no, the label clearly says "4" under the bar.

Alternatively, maybe the bars represent something else?

Wait — perhaps the bar is divided into 8 equal parts, and the whole bar equals 4, so each part is 0.5.

Yes — so:

✔ Repeated addition:
0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 = 4

✔ Multiplication fact:
8 × 0.5 = 4

But this is unusual. Let's check if it could be a typo.

Alternatively, if the total was meant to be 8, then each part is 1.

But since the image says 4, we'll go with that.

---

g. Draw a bar model to show 4 × 4

This means 4 groups of 4.

✔ Bar model: Draw 4 boxes, each labeled 4.

```
[4] [4] [4] [4]
```

Total = 16

✔ Repeated addition:
4 + 4 + 4 + 4 = 16

✔ Multiplication fact:
4 × 4 = 16

---

h. Draw a bar model to show 8 × 2

This means 8 groups of 2.

✔ Bar model: Draw 8 boxes, each labeled 2.

```
[2] [2] [2] [2] [2] [2] [2] [2]
```

Total = 16

✔ Repeated addition:
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16

✔ Multiplication fact:
8 × 2 = 16

---

✔ Final Answers:

#### a.
- Repeated addition: 3 + 3 + 3 + 3 = 12
- Multiplication: 4 × 3 = 12

#### b.
- Repeated addition: 5 + 5 + 5 + 5 + 5 + 5 = 30
- Multiplication: 6 × 5 = 30

#### c.
- Repeated addition: 2 + 2 + 2 + 2 + 2 + 2 = 12
- Multiplication: 6 × 2 = 12

#### d.
- Repeated addition: 8 + 8 + 8 + 8 = 32
- Multiplication: 4 × 8 = 32

#### e.
- Repeated addition: 9 + 9 = 18
- Multiplication: 2 × 9 = 18

#### f.
- Repeated addition: 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 = 4
- Multiplication: 8 × 0.5 = 4

> ⚠️ Note: This might be an error in the worksheet. If intended for whole numbers, perhaps the total should be 8 or each part is 1. But based on the given info, we use 0.5.

#### g.
- Bar model: 4 boxes, each with 4
- Repeated addition: 4 + 4 + 4 + 4 = 16
- Multiplication: 4 × 4 = 16

#### h.
- Bar model: 8 boxes, each with 2
- Repeated addition: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 16
- Multiplication: 8 × 2 = 16

---

Let me know if you'd like a visual representation of the bar models!