Strategy 2: Applying the Associative Property
Strategy 2: Applying the Associative Property is a Grade 4 math skill in enVision Mathematics, Chapter 3: Use Strategies and Properties to Multiply by 1-Digit Numbers. Students learn to regroup factors to multiply multiples of 10, 100, or 1,000 by applying the associative property of multiplication.
Key Concepts
The Associative Property of Multiplication states that you can change the grouping of factors without changing the product. $$(a \times b) \times c = a \times (b \times c)$$.
Common Questions
What is the associative property of multiplication?
The associative property states that changing how factors are grouped does not change the product: (a times b) times c equals a times (b times c).
How do you use the associative property to multiply multiples of 10?
Break the multiple of 10 into a basic fact times a power of 10, then regroup to multiply the basic fact first. For example, 6 times 40 equals 6 times (4 times 10) equals (6 times 4) times 10 equals 240.
What is an example of the associative property with large numbers?
To solve 8 times 500, rewrite as 8 times (5 times 100), then group as (8 times 5) times 100, which equals 40 times 100, which equals 4,000.
Why is the associative property useful in Grade 4 math?
It allows students to simplify multiplication of multiples of 10, 100, or 1,000 by first solving an easier basic fact, then multiplying by the appropriate power of 10.
What chapter covers the associative property in enVision Mathematics Grade 4?
The associative property for multiplication is covered in Chapter 3: Use Strategies and Properties to Multiply by 1-Digit Numbers in enVision Mathematics Grade 4.