Subtracting Integers & Sum of Opposites
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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? ______
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. 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? ______
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.
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? ______
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. 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.
Real World Application Using Rational Numbers:
Morgan is making a cake she has cup of sugar left in her container. She used cup of the sugar to make her famous butter cream icing. How much sugar did she have left?
Write a Subtraction Expression for this problem: ______
How far will the answer be from ? ______How do you know? ______
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.
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
Summary Reflecting back on your work above describe the strategy for modeling and solving subtraction problems, especially those involving negative integers. ______What will always be the sum when an integer is added to the same integer with the opposite sign? ______