<p> Group Work Sheet </p><p>(Subtracting Integers & Sum of Opposites)</p><p>Names:</p><p>Review:</p><p>What is the absolute value of a number?</p><p>If a climber descends in a cave 15 feet what is the distance the climber is from the top? </p><p>You deposit 55 dollars to open a checking account and there are no other transactions, what is the balance of your account?</p><p>Explain how to add integers or rational numbers with the same signs using absolute value?</p><p>Explain how to add integers or rational numbers with different signs using absolute value?</p><p>1. Subtracting Integers with the Same Signs: (Positive – Positive)</p><p>Subtraction Expression: 4 - 2</p><p>How far will the answer be from 4? ______How do you know? ______</p><p>Re-write the subtraction expression as an addition expression using the additive inverse.</p><p>Addition Expression: ______</p><p>Use the number line below to model your addition expression. 2. Subtracting Integers with the Different Signs: (Negative – Positive) -3 - 2</p><p>Subtraction Expression: -3 - 2</p><p>How far will the answer be from -3? ______How do you know? ______</p><p>Re-write the subtraction expression as an addition expression using the additive inverse.</p><p>Addition Expression: ______</p><p>Use the number line below to model your additive inverse expression.</p><p>3. Subtracting Integers with the Same Signs: (Negative - Negative) </p><p>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? </p><p>Write a subtraction expression to represent this scenario: ______</p><p>How far will the answer be from -3? ______How do you know? ______</p><p>Re-write the subtraction expression as an addition expression using the additive inverse.</p><p>Addition Expression: ______</p><p>Use the number line below to model your additive inverse expression. 4. Subtracting Integers with the Different Signs: (Positive – Negative)</p><p>Working as a group, create your own subtraction equation where the first number is positive and the second number is negative. </p><p>Original Subtraction Equation: ______</p><p>Re-write the subtraction equation as an addition equation using the additive inverse.</p><p>Addition Equation: ______</p><p>Use the number line below to model your group’s additive inverse equation.</p><p>Real World Application Using Rational Numbers:</p><p>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? </p><p>Write a Subtraction Expression for this problem: ______</p><p>How far will the answer be from ? ______How do you know? ______</p><p>Re-write the subtraction expression as an addition expression using the additive inverse.</p><p>Addition Expression: ______</p><p>Use the number line below to model your group’s additive inverse expression.</p><p>The Sum of Opposite Integers:</p><p>What is the sum of a number and its opposite? ______</p><p>Write and model an equation to prove sum of opposite integers </p><p>Equation:</p><p>Use the number line below for your model</p><p>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? ______</p>
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