Exploring Properties of Addition

The video tutorial explains the commutative, associative, and identity properties of addition using relatable examples. It demonstrates how the order of numbers does not affect the sum, how grouping can simplify calculations, and how adding zero leaves a number unchanged. The tutorial includes practice problems to reinforce these concepts.

Does changing the order of items being scanned at a cash register affect the total cost?

• Yes, it changes the total cost.

• No, the total cost remains the same.

• Yes, but only for certain items.

• It depends on the cashier.

What does the commutative property of addition state?

• The order of numbers does not change the sum.

• The way numbers are grouped changes the sum.

• Adding zero to a number changes its value.

• Changing the order of numbers changes the sum.

Which property of addition is used when the order of addends is changed?

• Commutative property

• Associative property

• Distributive property

• Identity property

How does the associative property of addition help in calculations?

• It doesn't help in calculations.

• By allowing the reordering of numbers for easier addition.

• By changing the sum of the numbers.

• By ensuring that adding zero changes the number.

What does the associative property allow you to do?

• Change the sum by adding numbers in any order.

• Ensure the sum remains the same regardless of how numbers are grouped.

• Change the sum by subtracting zero.

• None of the above.

What is the identity property of addition?

• The sum of any number and one equals the number itself.

• Adding one to a number doubles it.

• The sum of any number and zero equals the number itself.

• Adding zero to a number changes its value.

In the equation 3 + 2 = 2 + 3, which property of addition is being demonstrated?

• Identity property

• Commutative property

• Distributive property

• Associative property

When adding 16 + 0, which property explains why the sum remains 16?

• Commutative property

• Associative property

• Distributive property

• Identity property

How can Bob simplify the addition of 95, 14, and 16 using the associative property?

• By adding 95 to 14 first

• By grouping 14 and 16 to make a multiple of 10

• By adding 95 to 16 first

• By subtracting 16 from 95 first

What is the sum of 14 + 16 + 95 according to the associative property?

• 135

• 115

• 125

• 145