Absolute Values and Inverses

The video tutorial explains the concept of additive inverse by combining opposite quantities. It begins with an introduction to opposite quantities and absolute value, using a number line to illustrate these concepts. The tutorial then provides examples, such as earning and spending money, and walking forward and backward, to demonstrate how combining opposite quantities results in zero. The key takeaway is that two numbers that can be added together to get zero are called an additive inverse.

What do you get when you combine opposite quantities like 10 and -10?

• -20

• 0

• 20

• 10

What is the absolute value of -3?

• -3

• 0

• 6

• 3

How far is the number -3 from zero on a number line?

• 3 units

• 0 units

• -3 units

• 6 units

Which of the following numbers has the same absolute value as -3?

• -3

• 3

• -6

• 0

If you earn $10 and then spend $10, how much money do you have?

• $10

• $20

• $0

• -$10

What is the opposite of earning $10?

• Saving $10

• Losing $5

• Spending $10

• Earning $20

If you walk forward 5 steps and then backward 5 steps, where do you end up?

• 5 steps backward

• 0 steps

• 5 steps forward

• 10 steps forward

What is the result of combining 5 and -5?

• 0

• 5

• -10

• 10

What do you call two numbers that add up to zero?

• Multiplicative inverses

• Additive inverses

• Opposite numbers

• Absolute values

Which of the following pairs are additive inverses?

• -2 and 2

• 3 and 3

• 5 and -5

• 10 and 10