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7th grade NOTES: Chapter 1 Lesson 7 – Adding and Subtracting Integers
1. What are some real-world situations where you might have to add and subtract positive and
negative numbers?
2. Complete each integer addition problem below, with whatever method makes sense to you.
3+5
-3 + -5
-3 + 5
3 + -5
-2 + 7
2 + -7
-2 + -7
2+7
3. What patterns do you notice?
4. Now, complete each integer subtraction problem below, with whatever method makes sense to
you.
3–5
-3 – -5
-3 – 5
3 – -5
-4 – 6
4 – -6
-4 – -6
4–6
5. What patterns do you notice?
6. Take a closer look at the subtraction problems. For each problem, locate the two numbers
being subtracted on the number line. What do you notice? How could this help you?
7. Another very common way to think of subtraction is _______________________________. For
each problem below, change it into an addition problem, then add.
3–5
-3 – -5
-3 – 5
3 – -5
-4 – 6
4 – -6
-4 – -6
4–6
8. What do you notice? What do you think is the easiest way for you to think about subtraction of
integers?
9. On the biggest drop of the Mean Streak roller coaster in Ohio, your altitude changes by -155 feet
from top to bottom. On the biggest drop of the Texas Giant roller coaster in Texas, your altitude
changes by -137 feet from top to bottom. How much further is the drop on the Mean Streak?
10. The highest temperature ever recorded in the United States was 134˚F, in Death Valley
California. The coldest temperature, -80˚F, occurred in Prospect Creek, Alaska. How much
warmer is the record high temperature?
HW: Ch1L7
Find each sum or difference without your calculator.
1. -5 + 4
2. 2 + -8
3. 126 + -92
4. -3 – 3
5. 12 – -4
6. 3 – 6
7. On Friday, Rosa borrowed $10 from her sister. The next day she paid back $5. Then on Monday
she borrowed $4 more. How much does she owe?
8. If x + 2 = 0, what must x equal?
9. If x – 3 = -6, what must x equal?
HW: Ch1L7
Find each sum or difference without your calculator.
1. -5 + 4
2. 2 + -8
3. 126 + -92
4. -3 – 3
5. 12 – -4
6. 3 – 6
7. On Friday, Rosa borrowed $10 from her sister. The next day she paid back $5. Then on Monday
she borrowed $4 more. How much does she owe?
8. If x + 2 = 0, what must x equal?
9. If x – 3 = -6, what must x equal?