Explain how you can use absolute value to tell whether the sum of two integers is positive or negative. The sum of integers p and q is modeled on a number line, where upu , uqu. In each box, w
5 Lesson 1 Add Positive and Negative Integers Study the example problem showing how to add positive and negative integers. Then solve problems 1–8.Example Graph each situation on a number line. Then, model each situation with an equation.• Jordan already owes $5 to Kiara and borrows $4 from Don.
How much money does Jordan have? 21 22 23 24 25 26 27 28 210 0 1 29 2 4 • M icah has $4 and owes Ben $7. 21 22 24 25 0 1 234 5 2 7 23 25 1 (24) 5 ?
4 1 (27) 5 ? 1 Complete the equation and model each sum on a number line.
a. 1 4 5 0 b. 25 1 5 0 c. When will the sum of two numbers be zero?
2 In the first box of each equation, write an example of an integer that will result in the sum described. Then write the sum. Model each sum on a number line.
a. positive sum: 2 5 1 5 b. n egative sum: 2 4 1 5 21 22 23 24 25 26 0 1 234 56 21 22 23 24 25 26 0 1 234 56 21 22 23 24 25 26 0 1 234 56 21 22 23 24 25 26 0 1 234 56 25 1 (24) 5 4 1 (27) 5 29 23 Curriculum Associates, LLC Copying is not permitted.
Lesson 1 Understand Addition of Positive and Negative Integers Name: Curriculum Associates, LLC Copying is not permitted. 6 Solve.
3 Explain how you can use absolute value to tell whether the sum of two integers is positive or negative.
4 An elevator is two floors below ground level and goes up 5 floors. Write an addition equation that models the location of the elevator relative to ground level. What integer represents the new location?
5 One morning, the temperature was 2 5°F. By noon, the temperature had increased 12 degrees. What was the temperature at noon? Use a model to explain your answer.
6 A lobster fisherman moves a lobster trap from 20 feet below sea level to a location that is 15 feet deeper.
Draw a number line and write an addition equation that models this situation. What integer represents the new location relative to sea level?
7 The sum of integers p and q is modeled on a number line, where u pu , u qu. In each box, write p , q, or p 1 q . Then write an addition equation using integers that could represent p , q, and p 1 q .
8 Show how the model in problem 7 would change if up u . u qu. Draw the model, labeling p , q, and p 1 q . Then write an addition equation using integers that could represent p , q, and p 1 q .
0 Curriculum Associates, LLC Copying is not permitted.
Lesson 1 Understand Addition of Positive and Negative Integers Curriculum Associates, LLC Copying is not permitted.
