Exploring Algebraic Properties for 6th Grade Math

The video tutorial covers the properties of operations, including identity, commutative, associative, and inverse properties. It explains each property with examples for both addition and multiplication. The tutorial also includes practice problems to reinforce understanding of these properties.

What is the identity property of addition?

• Adding 1 to any number keeps it the same

• Multiplying any number by 1 keeps it the same

• Adding 0 to any number keeps it the same

• Multiplying any number by 0 keeps it the same

Which of the following demonstrates the identity property of multiplication?

• 5 + 0 = 5

• 5 * 1 = 5

• 5 + 1 = 5

• 5 * 0 = 5

What does the commutative property of addition state?

• Changing the order of multiplication changes the product

• Changing the order of addition changes the sum

• Changing the order of multiplication does not change the product

• Changing the order of addition does not change the sum

Which of the following is an example of the commutative property of multiplication?

• 2 * 3 = 3 * 2

• 2 + 3 = 5

• 2 + 3 = 3 + 2

• 2 * 3 = 6

What does the associative property of addition state?

• Changing the grouping of numbers does not change the sum

• Changing the grouping of numbers changes the sum

• Changing the order of numbers changes the sum

• Changing the order of numbers does not change the sum

Which of the following is an example of the associative property of multiplication?

• 2 * 3 = 3 * 2

• 2 + 3 = 5

• (2 + 3) + 4 = 2 + (3 + 4)

• (2 * 3) * 4 = 2 * (3 * 4)

What does the inverse property of addition state?

• A number multiplied by its inverse equals zero

• A number multiplied by its inverse equals one

• A number added to its inverse equals zero

• A number added to its inverse equals one

Which of the following demonstrates the inverse property of multiplication?

• 5 + 0 = 5

• 5 * (1/5) = 1

• 5 * 0 = 0

• 5 + (-5) = 0

Using the identity property, what is 15 + 0?

• 0

• 30

• 15

• 1

Using the commutative property, what is 9 + 4?

• 4 + 9

• All of the above

• 13

• 9 + 4