Practice worksheet for identifying math properties with examples and blank spaces for answers.

To solve the problem, we need to identify which property (Commutative, Associative, or Distributive) is being used in each computation. Let's go through each example step by step:

1. \( 57 \times (85 + 13) = 57 \times 85 + 57 \times 13 \)

- Explanation: Here, the number 57 is being distributed over the sum of 85 and 13.
- Property: This is an example of the Distributive Property.

2. \( (13 + 84) + 53 = 13 + (84 + 53) \)

- Explanation: The grouping of the numbers being added has changed, but the order remains the same.
- Property: This is an example of the Associative Property of Addition.

3. \( 6 \times (19 + 12) = 6 \times 19 + 6 \times 12 \)

- Explanation: Here, the number 6 is being distributed over the sum of 19 and 12.
- Property: This is an example of the Distributive Property.

4. \( 41 + 77 = 77 + 41 \)

- Explanation: The order of the numbers being added has been switched.
- Property: This is an example of the Commutative Property of Addition.

5. \( (10 + 20) + 30 = 10 + (20 + 30) \)

- Explanation: The grouping of the numbers being added has changed, but the order remains the same.
- Property: This is an example of the Associative Property of Addition.

6. \( 23 + 42 = 42 + 23 \)

- Explanation: The order of the numbers being added has been switched.
- Property: This is an example of the Commutative Property of Addition.

7. \( (12 + 55) + 61 = 12 + (55 + 61) \)

- Explanation: The grouping of the numbers being added has changed, but the order remains the same.
- Property: This is an example of the Associative Property of Addition.

8. \( (73 + 32) + 57 = 73 + (32 + 57) \)

- Explanation: The grouping of the numbers being added has changed, but the order remains the same.
- Property: This is an example of the Associative Property of Addition.

9. \( 62 \times (94 + 5) = 62 \times 94 + 62 \times 5 \)

- Explanation: Here, the number 62 is being distributed over the sum of 94 and 5.
- Property: This is an example of the Distributive Property.

10. \( 81 + 9 = 9 + 81 \)

- Explanation: The order of the numbers being added has been switched.
- Property: This is an example of the Commutative Property of Addition.

Final Answer:

\[
\boxed{
\begin{array}{|c|l|l|}
\hline
1 & 57 \times (85 + 13) = 57 \times 85 + 57 \times 13 & \text{Distributive} \\
\hline
2 & (13 + 84) + 53 = 13 + (84 + 53) & \text{Associative} \\
\hline
3 & 6 \times (19 + 12) = 6 \times 19 + 6 \times 12 & \text{Distributive} \\
\hline
4 & 41 + 77 = 77 + 41 & \text{Commutative} \\
\hline
5 & (10 + 20) + 30 = 10 + (20 + 30) & \text{Associative} \\
\hline
6 & 23 + 42 = 42 + 23 & \text{Commutative} \\
\hline
7 & (12 + 55) + 61 = 12 + (55 + 61) & \text{Associative} \\
\hline
8 & (73 + 32) + 57 = 73 + (32 + 57) & \text{Associative} \\
\hline
9 & 62 \times (94 + 5) = 62 \times 94 + 62 \times 5 & \text{Distributive} \\
\hline
10 & 81 + 9 = 9 + 81 & \text{Commutative} \\
\hline
\end{array}
}
\]