Opposites and Absolute Value
Adding Integers
Subtracting Integers
All
100
Find the value of the expression.
abs(-7)
5
100
Write the addition expression that is modeled by the number line below.
4 + (-7) = -3
100
True or False:
To solve a subtraction problem you must change the first number to its opposite, change the subtraction to addition, and keep the second number the same.
False!
Add the opposite!
Keep the first number, change to addition, change the second number to its opposite!
100
Which expressions are equal to −6.
Select All That Apply.
A. −8 + 2
B. 5 − 11
C. −12 + 6
D. 4 − (−2)
E. 9 + (-3)
A, B, C
200
What is the opposite of -18?
18
200
A hiker descended 120 feet into a canyon. Then, she climbed up 45 feet to reach a ledge.
What is the hiker’s present location relative to the canyon rim?
Write an expression and solve to figure out where the hiker is now.
-120 + 45 = -75
The hiker is 75 feet below the canyon rim.
200
Rewrite and solve:
-12 - (-5) = ?
-12 + 5 = -7
200
Find the missing number.
18 + _____ = −34
-52
300
A swimmer dove 15 feet below sea level. Write the integer that describes this scenario.
-15
300
Aaron and Paul are solving the expression -8 + (-3).
Aaron says the answer is -5. Paul says the answer is -11. Who is correct? Explain how you know.
Paul is correct. -8 and -3 are the same signs which means you need to add and keep the sign the same.
300
Write the SUBTRACTION equation that is modeled by the number line.
4 - 6 = -2
300
Which situation has an answer of 0?
A. A fish dives to 30 feet below sea level then jumps in the air 30 feet above sea level. How many feet did the fish travel?
B. The temperature changes from –5° in the morning to 5° in the afternoon. What is the difference in the high and low temperature?
C. A diver starts 6 feet above the water, dives 6 feet below the surface, then swims back to the surface. How many feet did the diver swim?
D. A hiker walks 4 miles north, turns around, then hikes 4 miles south. How many miles is the hiker from where he started?
D. A hiker walks 4 miles north, turns around, then hikes 4 miles south. How many miles is the hiker from where he started?
400
Alex says that Point C and Point D are opposite integers. Do you agree with Alex? Is he correct? Explain how you know.
Alex is not correct. Point C is at -5 and Point D is at 4. The opposite of -5 is 5 not 4.
400
Which expressions below give a positive answer? Select all that apply.
A) -9 + (-4)
B) 9 + (-4)
C) -2 + 8
D) 0 + (-1)
B and C
400
Amber and Sarah are solving the expression below.
-56 - (-27)
Amber says the answer is -83. Sarah says the answer is -29. Who is correct? How do you know?
Sarah is correct. When you rewrite the problem you get -56 + 27. You have to subtract the numbers. The answer is negative because there are more negatives than positives.
400
Explain why these two expressions are equivalent.
8 − 11
8 + (−11)
When you use the rule for subtracting integers, the first expression becomes 8 + (-11) because you have to add the opposite. This expression is the same as the second expression and therefore, they are equivalent.