1. Start Thinking How can you tell if the difference of two integers is positive? How can you tell if the difference of two integers is negative? How can you tell if the difference of two integers is zero?

2. Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers Objective: I can re-write a subtraction problem as an addition problem using the additive inverse.

3. Example 1: Input (Right Side)

4. It increases the score by the value of the card. It decreases the score by the absolute value of the card. It decreased the score by the value of the card. It increased the score by the absolute value of the card. Addition Subtraction

5. The result will decrease by the value of the integer. The result will increase by the absolute value of the negative integer.

6. Example 2: Subtracting a Positive Number “Subtracting Positive 2” is the same as “Adding a Negative 2”

7. Removing (________________) a positive card changes the score in the same way as _____________ a card whose value is the ________________________ _______________________ (or opposite). In this case, adding the corresponding __________________________.

8. Example 3: Subtracting a Negative Number “Subtracting Negative 2” is the same as “Adding a Positive 2”

9. Removing (________________) a negative card changes the score in the same way as _____________ a card whose value is the ________________________ _______________________ (or opposite). In this case, adding the corresponding __________________________. subtracting adding oppositeinverse positive

10. The Rule of Subtraction: Subtracting a number is the same as adding its additive inverse (or opposite). -8 – 24 – (-2)

11. Exercise 1 Using the rule of subtraction, rewrite the following subtraction sentences as addition sentences and solve. a. 8−2 b. 4−9 c. −3−7 Find the difference a. −2−(−5) b. 11−(−8) c. −10−(−4) d. −9−(−2) Write two equivalent expressions that would represent, “An airplane flies at an altitude of 25,000 feet. A submarine dives to depth of 600 feet below sea level.”

12. Closing Reflection When playing the Integer Game, give two ways you can increase the value of your hand. Give two ways you can decrease the value of your hand.