Name:_________________________________
M2BL7
Accordino-Math 7
Date:_________
Period:________
Lesson 7: Addition and Subtraction of Integers
Bellringer
Complete the rules for adding and subtracting integers below
Adding Integers:
1) When adding two integers with the same sign ( ++ or --):
_________________________________________________________________________
_________________________________________________________________________
2) When adding two integers with different signs (+- or -+):
_________________________________________________________________________
_________________________________________________________________________
Subtracting Integers
3) “____________, _________________, _______________”
Then, follow rules for ____________________________ of integers.
Name:_________________________________
M2BL7
Date:_________
Accordino-Math 7
Period:________
Lesson 7: Addition and Subtraction of
Integers
Notes
Review:
Integer: A positive or negative whole number
Absolute Value: The distance from zero a number in on the number line
Ex)  10  10
Ex) 10  10
The Additive Inverse: A number’s opposite
Ex) 10, -10

-101, 101
When we add a number and its opposite we will always get an answer of zero. This is called the Additive
Inverse of a number!!!
“THE RULES”
1)
Adding Integers:
When adding two integers with the same sign ( ++ or --):
When adding two integers with different signs (+- or -+):
2)
Subtracting Integers:
“____________, _________________, _______________”
Then, follow rules for ____________________________ of integers.
Find the solution of each expression below using the rules for adding and subtracting integers.
a.
(−10) + (−7)
d. (−15) − (26)
b.
(−8) − (−16)
e. (−5) + 12
c.
−120 − (65)
f. 9 + (−110)
Name:_________________________________
M2BL7
Accordino-Math 7
Date:_________
Period:________
Using Addition and Subtraction to Model Real-World Problems:
To know:
Distance is positive. Change in elevation or temperature may be positive or negative depending on whether it is
increasing or decreasing (going up or down).
We determine whether a temperature or elevation is increasing or decreasing by determining the original value (p-value)
and comparing it to our ending value (q-value). “Did the value go up or down from start to finish?”
Example 1: An airplane flies at an altitude of 25,000 feet. A submarine dives to a depth of 600 feet below sea level.
What is the difference in their elevations?
Are we dealing with Distance, Elevation or Temperature?
Will our answer be positive or negative?
Number sentence to represent the problem:
Example 2: A hiker starts hiking at the beginning of a trail at a point which is 200 feet below sea level. He hikes to a
location on the trail that is 580 feet above sea level and stops for lunch. What is the vertical distance between 200 feet
below sea level and 580 feet above sea level?
Are we dealing with Distance, Elevation or Temperature?
Will our answer be positive or negative?
Number sentence to represent the problem:
◦
◦
Example 3: If the temperature drops from 7 F to −17 F, by how much did the temperature decrease?
Are we dealing with Distance, Elevation or Temperature?
Will our answer be positive or negative?
Number sentence to represent the problem:
Example 4: Beryl is the first person to finish a 5K race and is standing 15 feet beyond the finish line. Another runner,
Jeremy, is currently trying to finish the race and has approximately 14 feet before he reaches the finish line. What is
Name:_________________________________
M2BL7
Date:_________
Accordino-Math 7
Period:________
Homework:
1.
Find the solution for each expression below.
a.
8 + (−2)
d. −2 + (−5)
b.
−11 − (−18)
e. 140 − 19
c.
−110 + (−41)
f. −30 − 7
d.
400 − 9000
g. −9 + (−12)
2.
An airplane flies at an altitude of 26,000 feet. A submarine dives to depth of 700 feet below sea level. What is the
difference in their elevations?
3.
Choose an integer between −1 and −5 on the number line, and label it point 𝑃. Locate and label the following
points on the number line. Show your work.
a.
Point 𝐴: 𝑃 − 5
b.
Point 𝐵: (𝑃 − 4) + 4
c.
Point 𝐶: −𝑃 − (−7)
Review:
1
inches over 2 days at a constant rate in Utica, NY. What is the rate of rainfall in inches per hour?
2
4.
It rained
5.
Solve the proportion below for n, round your answer to the nearest hundredth.
1
2.1 n

5.1 2.1
Name:_________________________________
Accordino-Math 7
M2BL7
Date:_________
Period:________
Lesson 7: Addition and Subtraction of
Integers
Exit Ticket
1. Write the following expressions as a single integer
d.
−2 + 16
e.
−2 − (−16)
f.
18 − 26