Understanding Properties of Multiplication and Addition

The video tutorial explains the associative and commutative properties of multiplication and addition. It demonstrates how to apply these properties to rewrite expressions by changing the grouping or order of numbers. Examples are provided to verify the properties by simplifying both sides of the expressions.

What does the associative property of multiplication allow you to do with numbers in a multiplication expression?

• Subtract numbers

• Add numbers together

• Change the grouping of numbers

• Change the order of numbers

In the expression 4 * (5 * 6), how can the associative property of multiplication be applied?

• (4 * 5) * 6

• 4 + (5 * 6)

• (4 + 5) * 6

• 4 * 5 + 6

What is the result of simplifying both sides of the expression 4 * (5 * 6) using the associative property?

• 120

• 100

• 90

• 150

What does the commutative property of multiplication allow you to do?

• Change the order of numbers

• Change the grouping of numbers

• Multiply numbers by zero

• Add numbers together

How can the expression 4 * 5 be rewritten using the commutative property of multiplication?

• 5 * 4

• 4 + 5

• 5 + 4

• 4 * 5

What does the associative property of addition allow you to do with numbers in an addition expression?

• Divide numbers

• Multiply numbers together

• Change the grouping of numbers

• Change the order of numbers

In the expression 4 + (5 + 6), how can the associative property of addition be applied?

• (4 + 5) + 6

• 4 + 5 + 6

• 4 + (5 * 6)

• (4 * 5) + 6

What is the result of simplifying both sides of the expression 4 + (5 + 6) using the associative property?

• 20

• 25

• 15

• 10

What does the commutative property of addition allow you to do?

• Multiply numbers by zero

• Change the grouping of numbers

• Subtract numbers

• Change the order of numbers

How can the expression 4 + 5 be rewritten using the commutative property of addition?

• 4 + 5

• 5 + 4

• 4 * 5

• 5 * 4