Strategy 2: Applying the Associative Property
Strategy 2: Applying the Associative Property (duplicate) is a Grade 4 math skill in enVision Mathematics, Chapter 3. Students regroup factors using the associative property to multiply multiples of 10, 100, and 1,000 by calculating a basic fact first and then annexing zeros.
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
How does the associative property simplify multiplication of large numbers?
Break a multiple of 10, 100, or 1,000 into a basic fact times a power of 10, then regroup to compute the easy basic fact first, and multiply the result by the power of 10.
What is an example of the associative property with 1,000?
For 3 times 7,000, rewrite as 3 times (7 times 1,000), regroup to (3 times 7) times 1,000 equals 21 times 1,000 equals 21,000.
What is the formula for the associative property?
The associative property states that (a times b) times c equals a times (b times c). You can regroup any three factors without changing the product.
How do you multiply by 100 using the associative property?
Break the multiple of 100 into a basic fact times 100. For example, 8 times 500 equals 8 times (5 times 100) equals (8 times 5) times 100 equals 40 times 100 equals 4,000.
What grade covers the associative property for multiplication?
The associative property multiplication strategy is covered in Grade 4 enVision Mathematics, Chapter 3: Use Strategies and Properties to Multiply by 1-Digit Numbers.