Let's solve the problem step by step and identify the properties used.
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1. First Problem:
Find the sum of \( 15 + 0 \).
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Sum:
\( 15 + 0 = 15 \)
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Property Used:
The
Identity Property of Addition states that adding 0 to any number leaves the number unchanged. Here, adding 0 to 15 results in 15.
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Answer:
\( 15 \)
Property: Identity Property of Addition
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2. Second Problem:
Find the sums of \( 3 + 4 \) and \( 4 + 3 \).
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Sum of \( 3 + 4 \):
\( 3 + 4 = 7 \)
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Sum of \( 4 + 3 \):
\( 4 + 3 = 7 \)
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Property Used:
The
Commutative Property of Addition states that the order of addition does not affect the sum. Here, \( 3 + 4 = 4 + 3 \).
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Answers:
\( 3 + 4 = 7 \)
\( 4 + 3 = 7 \)
Property: Commutative Property of Addition
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3. Third Problem:
Simplify \( (16 + 7) + 23 \) using the associative property.
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Expression:
\( (16 + 7) + 23 \)
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Step 1: Simplify inside the parentheses first:
\( 16 + 7 = 23 \)
So, the expression becomes:
\( 23 + 23 \)
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Step 2: Add the numbers:
\( 23 + 23 = 46 \)
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Rewriting Using Associative Property:
The
Associative Property of Addition states that the grouping of numbers does not affect the sum. We can rewrite the original expression as:
\( 16 + (7 + 23) \)
Since \( 7 + 23 = 30 \), the expression becomes:
\( 16 + 30 = 46 \)
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Final Answer:
\( (16 + 7) + 23 = 16 + (7 + 23) = 46 \)
Property: Associative Property of Addition
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4. Fourth Problem:
Choose the addition property used in the given examples.
#### Example 1:
\[
\begin{array}{r}
46 \\
+ 24 \\
\hline
70 \\
\end{array}
\]
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Explanation:
This is a straightforward addition problem where the numbers are added in the usual order. No specific property other than basic addition is being demonstrated here.
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Property: None of the given properties (Commutative, Identity, or Associative) are directly applicable here.
#### Example 2:
\[
\begin{array}{r}
55 \\
+ 24 \\
\hline
79 \\
\end{array}
\]
-
Explanation:
Similarly, this is a straightforward addition problem with no specific property being demonstrated beyond basic addition.
-
Property: None of the given properties (Commutative, Identity, or Associative) are directly applicable here.
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Final Answers:
1. \( 15 + 0 = 15 \)
Property: Identity Property of Addition
2. \( 3 + 4 = 7 \)
\( 4 + 3 = 7 \)
Property: Commutative Property of Addition
3. \( (16 + 7) + 23 = 16 + (7 + 23) = 46 \)
Property: Associative Property of Addition
4. For both addition examples:
Property: None of the given properties apply.
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Boxed Final Answer:
\[
\boxed{
\begin{aligned}
1. & \quad 15, \text{ Identity Property of Addition} \\
2. & \quad 7, 7, \text{ Commutative Property of Addition} \\
3. & \quad 16, 7 + 23, 46, \text{ Associative Property of Addition} \\
4. & \quad \text{None, None}
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of properties of addition worksheet for grade 2.
