Problem Analysis:
The worksheet focuses on identifying and applying
addition properties. Let's break it down step by step:
---
####
Part 1: Identify the Addition Property Used in Each Question
1.
5 + 0 = 5
-
Property:
Identity Property of Addition
-
Explanation: Adding zero to any number leaves the number unchanged.
2.
8 + 10 = 10 + 8
-
Property:
Commutative Property of Addition
-
Explanation: The order of the numbers being added does not affect the sum.
3.
(11 + 2) + 8 = 11 + (2 + 8)
-
Property:
Associative Property of Addition
-
Explanation: The grouping of numbers being added does not affect the sum.
4.
12 + 0 = 12
-
Property:
Identity Property of Addition
-
Explanation: Adding zero to any number leaves the number unchanged.
5.
9 + 3 = 3 + 9
-
Property:
Commutative Property of Addition
-
Explanation: The order of the numbers being added does not affect the sum.
---
####
Part 2: Compute the Following Addition Equations Mentally Using the Addition Properties Learnt
6.
7 + 0 = ?
-
Solution: Using the
Identity Property of Addition, adding zero to any number leaves the number unchanged.
-
Answer:
7
7.
6 + (4 + 2) = ?
-
Solution: First, compute the inner parentheses using the
Associative Property of Addition:
\[
4 + 2 = 6
\]
Then add:
\[
6 + 6 = 12
\]
-
Answer:
12
8.
9 + 2 = ?
-
Solution: This is a straightforward addition problem.
\[
9 + 2 = 11
\]
-
Answer:
11
9.
(2 + 1) + 5 = ?
-
Solution: First, compute the inner parentheses using the
Associative Property of Addition:
\[
2 + 1 = 3
\]
Then add:
\[
3 + 5 = 8
\]
-
Answer:
8
10.
286 + 0 = ?
-
Solution: Using the
Identity Property of Addition, adding zero to any number leaves the number unchanged.
-
Answer:
286
---
Final Answers:
1.
Identity Property of Addition
2.
Commutative Property of Addition
3.
Associative Property of Addition
4.
Identity Property of Addition
5.
Commutative Property of Addition
6.
7
7.
12
8.
11
9.
8
10.
286
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & \text{Identity Property of Addition} \\
2. & \text{Commutative Property of Addition} \\
3. & \text{Associative Property of Addition} \\
4. & \text{Identity Property of Addition} \\
5. & \text{Commutative Property of Addition} \\
6. & 7 \\
7. & 12 \\
8. & 11 \\
9. & 8 \\
10. & 286 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of properties of addition worksheet 3rd.
