This document provides an introduction to adding integers using number chips. It explains that integers can be positive or negative whole numbers. Examples are provided of representing positive and negative integers as number chips that can cancel each other out when added. Step-by-step workings are shown for adding combinations of positive and negative integers using this model of number chips. Practice problems are provided for the student to try.

1. WELCOME TO … Ms. Herzog’s Integers Lesson!

2. What is an integer??? Any whole number. It can be positive or negative. ANSWER Adding Integers! Examples: 2, -5, 245, 0, 9, -1,399

3. How do we add positive and negative integers? Think in terms of number chips Example: We can think of 4 as four positive chips +4

4. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of -3 as three negative chips -3

5. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of -8 as eight negative chips -8

6. How do we add positive and negative integers? Think in terms of number chips Another example: We can think of 6 as six positive chips +6

7. Let’s do an example! Use number chips! 4 + 7 ANSWER 11 +4 +7

8. Let’s do an example! Use number chips! -2 + 5 ANSWER 3 One negative chip and one positive chip cancel! +5 -2

9. Let’s do an example! Use number chips! 3 + (-5) ANSWER -2 One negative chip and one positive chip cancel! +3 -5

10. Let’s do an example! Use number chips! -8 + 5 ANSWER -3 One negative chip and one positive chip cancel! -8 +5

11. Let’s do an example! Use number chips! -3 + (-5) ANSWER -8 There are no chips to cancel! -5 -3

12. -3 + (-8) -11 ANSWER Number Chips! -3 -8

13. 4 + (-5) -1 ANSWER Number Chips! +4 -5

14. -3 + 9 6 ANSWER Number Chips! -3 +9

15. You Try! (-1) + (3) 6. (-7) + (1) (4) + (-5) 7. (2) + (-3) (10) + (-7) 8. (-3) + (-5) (-2) + (-3) 9. (2) + (-1) (-5) + (2) 10. (-2) + 1