5th Grade Multiplication and Division Fact Families Worksheet

You're working on a 3rd Grade Division Worksheet from Brighterly, focusing on Multiplication & Division Fact Families.

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🎯 What is a Fact Family?

A fact family shows how multiplication and division are related using the same three numbers.

For example:
If you know that 6 × 7 = 42, then you also know:
- 7 × 6 = 42
- 42 ÷ 6 = 7
- 42 ÷ 7 = 6

These four equations form a “family” — they all use the same three numbers.

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## ✔ Let’s solve each problem:

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🔹 Problem 1: Triangle with 66, 11, 6

We see that 11 × 6 = 66

So the fact family is:

```
11 × 6 = 66
6 × 11 = 66
66 ÷ 6 = 11
66 ÷ 11 = 6
```

✔ Fill in the boxes:

- First box: `11 × 6 = 66`
- Second box: `6 × 11 = 66`
- Third box: `66 ÷ 6 = 11`
- Fourth box: `66 ÷ 11 = 6`

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🔹 Problem 2: Triangle with 63, 9, 7

We know 9 × 7 = 63

Fact family:

```
9 × 7 = 63
7 × 9 = 63
63 ÷ 7 = 9
63 ÷ 9 = 7
```

✔ Fill in:

- `9 × 7 = 63`
- `7 × 9 = 63`
- `63 ÷ 7 = 9`
- `63 ÷ 9 = 7`

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🔹 Problem 3: Triangle with 40, 5, 8

We know 5 × 8 = 40

Fact family:

```
5 × 8 = 40
8 × 5 = 40
40 ÷ 5 = 8
40 ÷ 8 = 5
```

✔ Fill in:

- `5 × 8 = 40`
- `8 × 5 = 40`
- `40 ÷ 5 = 8`
- `40 ÷ 8 = 5`

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🔹 Problem 4: Triangle with 72, 6, 12

We know 6 × 12 = 72

Fact family:

```
6 × 12 = 72
12 × 6 = 72
72 ÷ 6 = 12
72 ÷ 12 = 6
```

✔ Fill in:

- `6 × 12 = 72`
- `12 × 6 = 72`
- `72 ÷ 6 = 12`
- `72 ÷ 12 = 6`

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## 🧠 Why This Matters

This exercise helps students understand that multiplication and division are inverse operations. If you can multiply two numbers to get a third, you can divide the third number by either of the first two to get back to the other.

It builds fluency and mental math skills!

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## ✍️ Final Answer Summary (for filling in the worksheet):

1.

- 11 × 6 = 66
- 6 × 11 = 66
- 66 ÷ 6 = 11
- 66 ÷ 11 = 6

2.

- 9 × 7 = 63
- 7 × 9 = 63
- 63 ÷ 7 = 9
- 63 ÷ 9 = 7

3.

- 5 × 8 = 40
- 8 × 5 = 40
- 40 ÷ 5 = 8
- 40 ÷ 8 = 5

4.

- 6 × 12 = 72
- 12 × 6 = 72
- 72 ÷ 6 = 12
- 72 ÷ 12 = 6

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✔ You’re all set! Just write those into the boxes on your worksheet. Great job practicing fact families! 🌟