Commutative Property of Multiplication
Learn how the Commutative Property of Multiplication lets you swap factors like a × b = b × a without changing the product, making mental math easier.
Key Concepts
Property Changing the order of the factors does not change the product. $$ a \times b = b \times a $$.
Examples To check if $14 \times 20 = 280$ is correct, you can reverse the factors and confirm that $20 \times 14 = 280$.
Multiplying $25 \times 12$ gives 300, which is the same product you get from multiplying $12 \times 25$.
Common Questions
What is the Commutative Property of Multiplication?
The Commutative Property of Multiplication states that changing the order of factors does not change the product, written as a × b = b × a. For example, 25 × 12 gives the same result as 12 × 25, which equals 300.
How does the Commutative Property of Multiplication help with mental math?
By rearranging factors into a more convenient order, calculations become simpler. For instance, 300 × 15 can be rewritten as 15 × 300, then broken down as 15 × 3 × 100 = 4500, making the arithmetic much easier.
How can the Commutative Property be used to check multiplication answers?
You can verify a multiplication result by reversing the factors and confirming you get the same product. For example, if 14 × 20 = 280, you can reverse it and confirm that 20 × 14 also equals 280.
Is the Commutative Property of Multiplication taught in Saxon Math Course 1?
Yes, the Commutative Property of Multiplication is covered in Chapter 1: Number, Operations, and Algebra in Saxon Math Course 1 for Grade 6. Students learn to apply the rule a × b = b × a to simplify problems and check their work.