Exploring the Associative Property of Multiplication

The video tutorial explains the associative property of addition and multiplication, demonstrating how numbers can be grouped differently without affecting the result. It emphasizes that in multiplication, the order of operations can be flexible, allowing students to choose the most convenient grouping for mental calculations. The tutorial provides several example problems, illustrating both left-to-right multiplication and strategic grouping to simplify calculations. The video concludes with tips for approaching multiplication problems in homework, reinforcing that the order of multiplication does not affect the final result.

What does the associative property of addition and multiplication allow you to do?

• Subtract and divide at the same time

• Add and multiply at the same time

• Group numbers differently

• Change the order of numbers

Tags

CCSS.7.NS.A.1D

In the example 2 × (3 × 4), what is the result?

• 12

• 24

• 20

• 18

Tags

CCSS.3.OA.B.5

When solving 4 × 3 × 6 from left to right, what is the intermediate result after the first multiplication?

• 12

• 18

• 36

• 24

Tags

CCSS.3.OA.C.7

What is the final result of 4 × 3 × 6 when solved from left to right?

• 24

• 36

• 72

• 48

Tags

CCSS.3.OA.B.5

If you have 6 × 2 × 3, which pair of numbers might be easier to multiply first?

• 6 and 2

• 2 and 3

• 6 and 3

• None of the above

Tags

CCSS.5.NBT.B.7

What is the result of 6 × (2 × 3)?

• 18

• 36

• 12

• 24

Tags

CCSS.3.OA.B.5

In the expression 2 × 3 × 5 × 4, which pair of numbers can be multiplied to make a 10?

• 2 and 5

• 5 and 4

• 3 and 5

• 2 and 3

Tags

CCSS.5.OA.B.3

What is the result of 2 × 3 × 5 × 4 when solved by grouping 2 and 5 first?

• 120

• 60

• 100

• 80

Tags

CCSS.3.OA.B.5

Does the order in which you multiply numbers in a long multiplication sentence affect the final result?

• Yes, it changes the result

• Only if the numbers are large

• Sometimes it does

• No, it does not change the result

Tags

CCSS.5.NBT.B.5

What is the final result of 2 × 3 × 5 × 4 when solved from left to right?

• 80

• 60

• 100

• 120

Tags

CCSS.3.OA.C.7