Properties of Numbers: Using Properties of Addition

The video tutorial explains the commutative and associative properties of addition. It uses examples with pine cones and tools to demonstrate how changing the order or grouping of numbers does not affect the sum. The commutative property is shown by rearranging numbers in different orders, while the associative property is illustrated by grouping numbers differently. Both properties highlight that the sum remains constant regardless of the order or grouping of numbers.

What does the commutative property of addition state?

• The sum is always zero.

• The sum changes when the order of numbers is changed.

• The sum remains the same regardless of the order of numbers.

• The sum is always a negative number.

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

• 4 + 6 = 6 + 4

• 4 + 6 = 12

• 6 + 4 = 10

• 4 + 6 = 10

What is the associative property of addition?

• The sum is always the smallest number.

• The sum is always the largest number.

• Grouping numbers differently does not change the sum.

• Changing the order of numbers changes the sum.

In the example with tools, how many tools are there in total when using the associative property?

• 9 tools

• 10 tools

• 12 tools

• 11 tools

Which of the following expressions demonstrates the associative property?

• (3 + 2) + 6 = 11

• (3 + 6) + 2 = 11

• All of the above

• (6 + 2) + 3 = 11