Demonstrate the Commutative Property of Addition with a number line

This video tutorial explains the commutative property of addition using a number line. It begins with an introduction to integers, including positive and negative whole numbers, and explains the concept of a number line. The tutorial then covers the basics of addition, highlighting common mistakes related to the commutative property, such as reordering addends without considering their signs. Through various examples, the video demonstrates how the commutative property works with positive, negative, and mixed-sign numbers, emphasizing the importance of keeping signs with their respective numbers. The lesson concludes by reinforcing that the order of addends does not affect the sum, as long as signs are correctly maintained.

Which of the following is NOT considered an integer?

• Zero

• Negative two

• One and a half

• Positive three

What is a common mistake when applying the commutative property of addition?

• Forgetting to switch the signs with the numbers

• Adding more than two numbers

• Switching the order of addends

• Using parentheses around numbers

If you have the addition problem 2 + 6, what will the sum be if you apply the commutative property?

• 12

• 8

• 6

• 4

When using the commutative property with two negative addends, such as -4 and -3, what is the resulting sum?

• -9

• -5

• -7

• -1

How does the commutative property apply to the problem 9 + (-11)?

• The sum is 20

• The sum is -2

• The sum is 0

• The sum is 2