Understanding Additive Inverses

This video tutorial explains how to find the additive inverse of a number, which is the number that, when added to the original number, results in zero. It highlights common mistakes, such as confusing the additive inverse with the additive identity, which is zero. The tutorial uses the number line model to demonstrate finding additive inverses for whole numbers and fractions. It also shows how to use the additive inverse to simplify subtraction expressions by converting them into addition. By the end of the lesson, viewers will understand how to write equivalent expressions using the additive inverse.

What is the main purpose of finding an additive inverse?

• To make a number larger

• To create equivalent expressions

• To multiply numbers

• To divide numbers

Which of the following is a common mistake when working with additive inverses?

• Confusing it with the additive identity

• Using it to multiply numbers

• Thinking it is always positive

• Ignoring it in subtraction

What is the additive inverse of 5?

• 0

• -5

• 5

• 10

How many spaces away from zero is the additive inverse of 5 on a number line?

• 10 spaces

• 7 spaces

• 5 spaces

• 3 spaces

What is the additive inverse of -2/3?

• 0

• 1

• 2/3

• -2/3

When adding -2/3 and its additive inverse, what is the result?

• 2/3

• -1

• 0

• 1

What is the equivalent expression for 5 minus a negative 3?

• 5 - 3

• 5 + 3

• 5 - (-3)

• 5 + (-3)

What is the additive inverse of -3?

• -3

• 6

• 0

• 3

How do you rewrite subtraction of a negative number using additive inverses?

• Change subtraction to addition

• Change subtraction to subtraction

• Change subtraction to division

• Change subtraction to multiplication

What is the result of adding a number to its additive inverse?

• Double the number

• The number itself

• Negative of the number

• Zero