Understanding the Additive Inverse and Equivalent Expressions

This video tutorial explains how to write equivalent expressions by using the additive inverse. It highlights common mistakes, such as confusing the additive inverse with the additive identity, and emphasizes the importance of the number line model. The tutorial provides examples of finding additive inverses for whole numbers and fractions, and demonstrates how to use the additive inverse to simplify subtraction expressions.

What is the additive identity?

• 10

• 1

• -1

• 0

If the additive inverse of 7 is added to 7, what is the result?

• 0

• 14

• 7

• -7

What is the additive inverse of -4?

• -4

• 8

• 0

• 4

How can you rewrite the expression 8 - (-2) using additive inverses?

• 8 - 0

• 8 + (-2)

• 8 - 2

• 8 + 2

What is the result of adding -3 and its additive inverse?

• 0

• -6

• 6

• 3