1.01 and 1.02 Additive Inverses and Equidistant Points

Multiple Choice

Which expression is equivalent to $$-8-\left(-3\right)$$ ?

• $$-8-3$$

• $$-8+3$$

• $$8-3$$

• $$8+3$$

Learning Target #1:

I can describe situations in which opposite quantities combine to make zero.

​ADDITIVE INVERSES

Two numbers that add to zero.

Example:

-8 and 8 or 10 and -10

Multiple Choice

What is the additive inverse of -9? 

• 9

• $$\frac{1}{9}$$

• 0

• -9

Multiple Choice

What is the additive inverse of 3?

• 0

• -3

• 3

• $$-\frac{1}{3}$$

Math Response

What is the additive inverse of -5?

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

What is the additive inverse of 825?

Type answer here

Correct Answer: -825

Deg^°

Rad

​Additive Inverse (Word Problems)

Additive inverse with word problems are simply opposites.

Examples:

• Hot and Cold

• Up and Down

• Deposit and Withdraw

Multiple Choice

The first play of a football game resulted in a loss of 12 yards. How many yards does the team need to gain or lose to go back to where the play started?

• Gain 12 yards

• Gain 0 yards

• Lose 12 yards

• Lose 9 yards

Math Response

Elena has $45 from her savings account. Which integer can be added to her account to bring her account balance to $0?

Type answer here

Correct Answer: -45

Deg^°

Rad

Multiple Choice

Which scenario will result in a total change of zero?

• Brenda gave away 4 apples to her mom and gave away 5 apples to her dad.

• Jason road his bike 2 miles north, then turned around and biked 2 miles south.

• Xavier road the elevator up 3 floors, then rode the elevator up 3 floors.

• The temperature outside was -50 degrees and fell 50 degrees.

Multiple Choice

Which scenario will result in a total change of zero?

• A cat was 8 pounds underweight, but gained 8 pounds back.

• A plant was 10 inches tall and grew 10 more inches.

• Ashley deposited $50 and withdrew $20.

• A scuba diver dived down 26 feet and swam up 15 feet.

Math Response

An airplane was flying 2,000 feet above the airport and then traveled back down to the ground (0 feet). What integer can be used to represent the airplane traveling back to the ground?

Type answer here

Correct Answer: -2000

Deg^°

Rad

Multiple Choice

Darious has a bank account with $50. Which situation, when combined with that will result in a balance of zero?

• Darious depositing $50.

• Darious withdrawing $50.

• Darious withdrawing $10.

• Darious not depositing or withdrawing any money.

Multiple Choice

What does the property of additive inverse state?

• That if you add a number and its inverse the answer will always be zero.

• That if you add a number and its inverse the answer will be negative.

• That if you add a number and its inverse the answer will be positive.

Learning Target #2:

I can find points that are equidistant from a given integer.

​Equidistant Points

Two numbers that have the same distance from a given point.

Example: Which numbers are a distance of 2 units from 5 on a number line?

Answer: 3 and 7
(because 5 + 2 = 7 and 5 - 2 = 3)

Multiple Choice

What are two numbers that are a distance of 3 units away from 6 on a number line? Use the number line to help!

• 0 and 3

• 0 and 6

• 3 and 9

• 9 and 12

Multiple Choice

What are two numbers that are a distance of 6 units away from -2 on a number line? Use the number line to help!

• -2 and 4

• 8 and 8

• 0 and 6

• 4 and -8

Open Ended

What are two numbers that are 4 units away from -3 on a number line? Use the number line to help!