Associative Property Review

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a × b) × c = a × (b × c).

Front

Calculate the product of 3, 2, and 5 using the Associative Property.

Back

(3 × 2) × 5 = 6 × 5 = 30.

Front

If Mary buys 3 pairs of gloves for her friends and each pair has 2 gloves, how many gloves does she buy in total?

Back

Mary buys 3 × 2 = 6 gloves.

Front

How many total gloves are purchased if Mary buys 3 pairs and her friends buy 2 pairs each for 2 friends?

Back

Total gloves = 3 (Mary's pairs) × 2 (gloves per pair) + 2 (friends) × 2 (pairs) × 2 (gloves per pair) = 6 + 8 = 12 gloves.

Front

What is the total number of stickers Mr. Dale has if he has 2 sticker books, each with 4 pages, and each page has 4 stickers?

Back

Total stickers = 2 (books) × 4 (pages/book) × 4 (stickers/page) = 32 stickers.

Front

Calculate the product of 3, 4, and 2 using the Associative Property.

Back

(3 × 4) × 2 = 12 × 2 = 24.

Front

Is Gary correct in saying that 2 × 2 × 9 is equal to 4 × 9?

Back

Yes, because 2 × 2 = 4, so 2 × 2 × 9 = 4 × 9.

Front

What is the formula for the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change the sum. For example, (a + b) + c = a + (b + c).

Front

Provide an example of the Associative Property of Addition with numbers.

Back

For example, (1 + 2) + 3 = 3 + 3 = 6 and 1 + (2 + 3) = 1 + 5 = 6.

Front

How does the Associative Property apply to solving multi-step multiplication problems?

Back

It allows you to group numbers in a way that makes calculations easier, such as rearranging the order of multiplication.