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Educational math worksheet for practicing addition and subtraction fact families up to 100.

A worksheet titled "Addition and Subtraction Fact Families to 100" with triangular number arrangements and blank equations for students to fill in.

A worksheet titled "Addition and Subtraction Fact Families to 100" with triangular number arrangements and blank equations for students to fill in.

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Show Answer Key & Explanations Step-by-step solution for: Fact Families Addition and Subtraction to 100 Worksheet
It looks like you've uploaded a worksheet titled "Addition and Subtraction Fact Families to 100". The goal of this worksheet is to help students understand fact families, which are groups of related addition and subtraction facts using the same three numbers.

Each triangle contains three numbers, where two smaller numbers add up to the larger number at the top (the sum). From these, you can write four related facts: two addition and two subtraction equations.

---

🔍 How to Solve This Worksheet:



For each triangle with numbers like:
```
58
/ \
24 35
```

You use the three numbers: 24, 35, and 58

#### Step 1: Identify the relationships
- 24 + 35 = 58
- 35 + 24 = 58
- 58 - 24 = 35
- 58 - 35 = 24

These four equations form the fact family.

---

Example Solution for One Triangle



Let’s take the first triangle on the left page:
```
58
/ \
24 35
```

Fill in the boxes below it with:

```
24 + 35 = 58
35 + 24 = 58
58 - 24 = 35
58 - 35 = 24
```

Repeat this process for all triangles.

---

🧩 Let's solve one more example:



Triangle:
```
65
/ \
42 23
```

Fact Family:
- 42 + 23 = 65
- 23 + 42 = 65
- 65 - 42 = 23
- 65 - 23 = 42

So the four equations are:
```
42 + 23 = 65
23 + 42 = 65
65 - 42 = 23
65 - 23 = 42
```

---

💡 General Rule:


For any triangle with numbers A, B, and C (where C = A + B):
- A + B = C
- B + A = C
- C - A = B
- C - B = A

---

📝 Instructions for Completing the Worksheet:


1. Look at the three numbers in each triangle.
2. Find the two smaller numbers that add up to the largest (top) number.
3. Write the two addition facts.
4. Write the two subtraction facts.
5. Fill in the blank boxes accordingly.

---

🛠️ Tips:


- Always check: does the sum match the top number?
- Remember order matters in subtraction but not in addition.
- Use mental math or paper if needed.

---

Since I can't see the exact numbers in every triangle (the image is partially visible), here are some examples from what’s shown:

#### Example 1:
Triangle: 65 (top), 42 and 23 (bottom)
- 42 + 23 = 65
- 23 + 42 = 65
- 65 - 42 = 23
- 65 - 23 = 42

#### Example 2:
Triangle: 74 (top), 49 and 25
- 49 + 25 = 74
- 25 + 49 = 74
- 74 - 49 = 25
- 74 - 25 = 49

#### Example 3:
Triangle: 91 (top), 68 and 23
- 68 + 23 = 91
- 23 + 68 = 91
- 91 - 68 = 23
- 91 - 23 = 68

---

Final Answer Format:


For each triangle, fill in the four equations as:
```
[ ] + [ ] = [ ]
[ ] + [ ] = [ ]
[ ] - [ ] = [ ]
[ ] - [ ] = [ ]
```

Just plug in the correct numbers based on the triangle.

---

If you'd like, you can provide the exact numbers from the triangles, and I’ll help you fill out the full worksheet!
Parent Tip: Review the logic above to help your child master the concept of addition and subtraction worksheet 100.
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