Word Problems for Addition and Subtraction of Integers

Introduction
Word problems involving addition and subtraction of integers can help students understand the concept of positive and negative numbers in real-life scenarios. These problems require students to apply their knowledge of integer operations to solve practical situations.

Example 1: Temperature Change
Scenario: The temperature in a city dropped by 5 degrees Celsius in the morning and then increased by 8 degrees Celsius in the afternoon. Find the net change in temperature.

Solution:
- Identify the operations: The temperature dropped by 5 degrees (subtraction) and then increased by 8 degrees (addition).
- Calculate the net change: -5 + 8 = 3
- Interpretation: The net change in temperature is an increase of 3 degrees Celsius.

Example 2: Bank Account Balance
Scenario: Emma had $50 in her bank account. She withdrew $20 and then deposited $30. Determine her new account balance.

Solution:
- Identify the operations: Emma withdrew $20 (subtraction) and then deposited $30 (addition).
- Calculate the new balance: $50 - $20 + $30 = $60
- Interpretation: Emma's new account balance is $60.

Example 3: Elevation Change
Scenario: A hiker climbed up a mountain for 300 meters and then descended 150 meters. Find the hiker's final elevation.

Solution:
- Identify the operations: The hiker climbed up 300 meters (addition) and then descended 150 meters (subtraction).
- Calculate the final elevation: 300 - 150 = 150
- Interpretation: The hiker's final elevation is 150 meters above the starting point.

Example 4: Football Game Yardage
Scenario: In a football game, the offense gained 10 yards and then lost 15 yards. Determine the net yardage gained or lost.

Solution:
- Identify the operations: The offense gained 10 yards (addition) and then lost 15 yards (subtraction).
- Calculate the net yardage: 10 - 15 = -5
- Interpretation: The offense lost 5 yards.

Conclusion
Word problems for addition and subtraction of integers provide practical situations where students can apply their understanding of positive and negative numbers. By solving these problems, students can develop their skills in integer operations and gain a better grasp of real-life applications of integers.