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

Worksheet titled "Addition and Subtraction Fact Families to 100" with triangular diagrams and blank equations for practice.

Worksheet titled "Addition and Subtraction Fact Families to 100" with triangular diagrams and blank equations for practice.

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Show Answer Key & Explanations Step-by-step solution for: Fact Families Addition and Subtraction to 100 Worksheet
The task involves creating addition and subtraction fact families for given sets of numbers. A fact family is a group of related addition and subtraction facts that use the same three numbers. For example, if we have the numbers 20, 35, and 55, the fact family would include:

- Addition: \( 20 + 35 = 55 \) and \( 35 + 20 = 55 \)
- Subtraction: \( 55 - 20 = 35 \) and \( 55 - 35 = 20 \)

Step-by-Step Solution:



#### First Set of Numbers: 20, 35, 55
1. Addition Facts:
- \( 20 + 35 = 55 \)
- \( 35 + 20 = 55 \)

2. Subtraction Facts:
- \( 55 - 20 = 35 \)
- \( 55 - 35 = 20 \)

So, the complete fact family is:
- \( 20 + 35 = 55 \)
- \( 35 + 20 = 55 \)
- \( 55 - 20 = 35 \)
- \( 55 - 35 = 20 \)

#### Second Set of Numbers: 48, 23, 71
1. Addition Facts:
- \( 48 + 23 = 71 \)
- \( 23 + 48 = 71 \)

2. Subtraction Facts:
- \( 71 - 48 = 23 \)
- \( 71 - 23 = 48 \)

So, the complete fact family is:
- \( 48 + 23 = 71 \)
- \( 23 + 48 = 71 \)
- \( 71 - 48 = 23 \)
- \( 71 - 23 = 48 \)

#### Third Set of Numbers: 69, 22, 91
1. Addition Facts:
- \( 69 + 22 = 91 \)
- \( 22 + 69 = 91 \)

2. Subtraction Facts:
- \( 91 - 69 = 22 \)
- \( 91 - 22 = 69 \)

So, the complete fact family is:
- \( 69 + 22 = 91 \)
- \( 22 + 69 = 91 \)
- \( 91 - 69 = 22 \)
- \( 91 - 22 = 69 \)

#### Fourth Set of Numbers: 32, 60, 92
1. Addition Facts:
- \( 32 + 60 = 92 \)
- \( 60 + 32 = 92 \)

2. Subtraction Facts:
- \( 92 - 32 = 60 \)
- \( 92 - 60 = 32 \)

So, the complete fact family is:
- \( 32 + 60 = 92 \)
- \( 60 + 32 = 92 \)
- \( 92 - 32 = 60 \)
- \( 92 - 60 = 32 \)

#### Fifth Set of Numbers: 81, 19, 62
1. Addition Facts:
- \( 81 + 19 = 100 \)
- \( 19 + 81 = 100 \)

2. Subtraction Facts:
- \( 100 - 81 = 19 \)
- \( 100 - 19 = 81 \)

So, the complete fact family is:
- \( 81 + 19 = 100 \)
- \( 19 + 81 = 100 \)
- \( 100 - 81 = 19 \)
- \( 100 - 19 = 81 \)

#### Sixth Set of Numbers: 54, 23, 77
1. Addition Facts:
- \( 54 + 23 = 77 \)
- \( 23 + 54 = 77 \)

2. Subtraction Facts:
- \( 77 - 54 = 23 \)
- \( 77 - 23 = 54 \)

So, the complete fact family is:
- \( 54 + 23 = 77 \)
- \( 23 + 54 = 77 \)
- \( 77 - 54 = 23 \)
- \( 77 - 23 = 54 \)

Final Answer:


\[
\boxed{
\begin{array}{l}
\text{Fact Family for } 20, 35, 55: \\
20 + 35 = 55, \quad 35 + 20 = 55, \quad 55 - 20 = 35, \quad 55 - 35 = 20 \\
\text{Fact Family for } 48, 23, 71: \\
48 + 23 = 71, \quad 23 + 48 = 71, \quad 71 - 48 = 23, \quad 71 - 23 = 48 \\
\text{Fact Family for } 69, 22, 91: \\
69 + 22 = 91, \quad 22 + 69 = 91, \quad 91 - 69 = 22, \quad 91 - 22 = 69 \\
\text{Fact Family for } 32, 60, 92: \\
32 + 60 = 92, \quad 60 + 32 = 92, \quad 92 - 32 = 60, \quad 92 - 60 = 32 \\
\text{Fact Famil
Parent Tip: Review the logic above to help your child master the concept of 100 addition facts worksheet.
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