Free Fact Family Worksheets for homeschoolers, students, parents ... - Free Printable

The worksheet titled "Complete Each Family of Facts" is designed to help students understand and practice multiplication and division fact families. A "fact family" shows the relationship between multiplication and division using the same set of numbers.

Each house-shaped diagram represents a fact family with:

- A product or dividend at the top (the result of multiplication or the number being divided),
- Two factors or divisors on the sides,
- Four related equations: two multiplication and two division facts.

Let’s go through each house and verify or complete the fact families.

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🔷 House 1: 96, 8, 12

We are given:
```
8 × 12 = 96
12 × 8 = 96
96 ÷ 8 = 12
96 ÷ 12 = 8
```

✔ All equations are correct.

Explanation:
This is a fact family for 8, 12, and 96.
- Multiplication: 8 × 12 = 96 and 12 × 8 = 96 (commutative property).
- Division: 96 ÷ 8 = 12 and 96 ÷ 12 = 8.

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🔷 House 2: 24, 2, 12

Given:
```
2 × 12 = 24
12 × 2 = 24
24 ÷ 2 = 12
24 ÷ 12 = 2
```

✔ All equations are correct.

Explanation:
This is a fact family for 2, 12, and 24.
- 2 × 12 = 24 → same as 12 × 2 = 24.
- 24 ÷ 2 = 12 → inverse of multiplication.
- 24 ÷ 12 = 2 → also inverse.

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🔷 House 3: 99, 9, 11

Given:
```
9 × 11 = 99
11 × 9 = 99
99 ÷ 9 = 11
99 ÷ 11 = 9
```

✔ All equations are correct.

Explanation:
This is a fact family for 9, 11, and 99.
- 9 × 11 = 99 → and 11 × 9 = 99 (commutative).
- 99 ÷ 9 = 11 → because 9 × 11 = 99.
- 99 ÷ 11 = 9 → because 11 × 9 = 99.

---

🔷 House 4: 32, 4, 8

Given:
```
4 × 8 = 32
8 × 4 = 32
32 ÷ 4 = 8
32 ÷ 8 = 4
```

✔ All equations are correct.

Explanation:
This is a fact family for 4, 8, and 32.
- 4 × 8 = 32 → and 8 × 4 = 32.
- 32 ÷ 4 = 8 → because 4 × 8 = 32.
- 32 ÷ 8 = 4 → because 8 × 4 = 32.

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✔ Final Answer Summary

All four fact families are already completed correctly in the image.

Each one follows the pattern:
- Two multiplication facts (a × b = c and b × a = c)
- Two division facts (c ÷ a = b and c ÷ b = a)

These reinforce the inverse relationship between multiplication and division.

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📝 Teaching Tip:

Fact families help students see that:
- Multiplication and division are opposite operations.
- The same three numbers can be used to create four related facts.

This builds fluency and understanding of basic arithmetic relationships.

Let me know if you'd like a printable version or a blank template for practice!