50+ Properties of Multiplication worksheets for 2nd Class on ... - Free Printable

Problem Analysis:

The task involves identifying the properties of multiplication based on given mathematical expressions. Let's solve each question step by step and explain the reasoning.

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Question 1:

Which property does this math expression represent?
\[ 3 \times 5 = 5 \times 3 \]

#### Explanation:
- The expression shows that multiplying two numbers in any order results in the same product.
- This is the definition of the Commutative Property of Multiplication.
- The Commutative Property states: \( a \times b = b \times a \).

#### Answer:
\[ \boxed{B} \] (Commutative)

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Question 2:

The following exercise is an example of:
\[ 4 \times 1 = 4 \]

#### Explanation:
- The expression shows that multiplying any number by 1 results in the same number.
- This is the definition of the Identity Property of Multiplication.
- The Identity Property states: \( a \times 1 = a \).

#### Answer:
\[ \boxed{A} \] (Identity)

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Question 3:

Which property states you can switch the order of the factors and the product stays the same?

#### Explanation:
- The question directly asks about switching the order of factors without changing the product.
- This is again the definition of the Commutative Property of Multiplication.
- The Commutative Property states: \( a \times b = b \times a \).

#### Answer:
\[ \boxed{A} \] (Commutative)

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Question 4:

Which term best describes the property shown below?
\[ (9 \times 3) \times 2 = 9 \times (3 \times 2) \]

#### Explanation:
- The expression shows that the grouping of factors does not affect the product.
- This is the definition of the Associative Property of Multiplication.
- The Associative Property states: \( (a \times b) \times c = a \times (b \times c) \).

#### Answer:
\[ \boxed{A} \] (Associative)

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Question 5:

The ___________ property means that the product of any number and 1 is the number.

#### Explanation:
- The question asks for the property where multiplying any number by 1 results in the same number.
- This is the definition of the Identity Property of Multiplication.
- The Identity Property states: \( a \times 1 = a \).

#### Answer:
\[ \boxed{C} \] (Identity)

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Final Answers:

1. \( \boxed{B} \)
2. \( \boxed{A} \)
3. \( \boxed{A} \)
4. \( \boxed{A} \)
5. \( \boxed{C} \)

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Summary of Properties:

1. Commutative Property: \( a \times b = b \times a \)
2. Identity Property: \( a \times 1 = a \)
3. Associative Property: \( (a \times b) \times c = a \times (b \times c) \)

These properties are fundamental to understanding how multiplication works. Each question tests your ability to recognize these properties based on the given expressions.