Group Work Sheet
(Subtracting Integers & Sum of Opposites)
Names:
Review:
What is the absolute value of a number?
If a climber descends in a cave 15 feet what is the distance the climber is from the top?
You deposit 55 dollars to open a checking account and there are no other transactions, what is
the balance of your account?
Explain how to add integers or rational numbers with the same signs using absolute value?
Explain how to add integers or rational numbers with different signs using absolute value?
1. Subtracting Integers with the Same Signs: (Positive – Positive)
Subtraction Expression: 4 - 2
How far will the answer be from 4? _______ How do you know? _________________________
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Re-write the subtraction expression as an addition expression using the additive inverse.
Addition Expression: __________________________________________________
Use the number line below to model your addition expression.
0
2. Subtracting Integers with the Different Signs: (Negative – Positive) -3 - 2
Subtraction Expression: -3 - 2
How far will the answer be from -3? _______ How do you know? ________________________
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Re-write the subtraction expression as an addition expression using the additive inverse.
Addition Expression: _____________________________________________
Use the number line below to model your additive inverse expression.
0
3. Subtracting Integers with the Same Signs: (Negative - Negative)
You borrowed money from a friend, and now you have a debt of $3. Later, your friend wiped out
$2 of your debt. What is your current financial status with your friend?
Write a subtraction expression to represent this scenario: ________________________
How far will the answer be from -3? _______ How do you know? ________________________
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Re-write the subtraction expression as an addition expression using the additive inverse.
Addition Expression: _____________________________________________
Use the number line below to model your additive inverse expression.
0
4. Subtracting Integers with the Different Signs: (Positive – Negative)
Working as a group, create your own subtraction equation where the first number is positive and
the second number is negative.
Original Subtraction Equation: ___________________________________________
Re-write the subtraction equation as an addition equation using the additive inverse.
Addition Equation: _____________________________________________
Use the number line below to model your group’s additive inverse equation.
0
Real World Application Using Rational Numbers:
3
1
cup of sugar left in her container. She used
cup of the
4
2
sugar to make her famous butter cream icing. How much sugar did she have left?
Morgan is making a cake she has
Write a Subtraction Expression for this problem: ______________________________________
3
? _______ How do you know? ________________________
4
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How far will the answer be from
Re-write the subtraction expression as an addition expression using the additive inverse.
Addition Expression: _____________________________________________
Use the number line below to model your group’s additive inverse expression.
0
The Sum of Opposite Integers:
What is the sum of a number and its opposite? ______________________
Write and model an equation to prove sum of opposite integers
Equation:
Use the number line below for your model
0
Summary
Reflecting back on your work above describe the strategy for modeling and solving subtraction
problems, especially those involving negative integers.
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What will always be the sum when an integer is added to the same integer with the opposite sign?
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