Integer Word Problems (Temperature, Debt) Practice Problems & Conceptual Mastery
Solve real-world multi-step word problems involving positive and negative integers in contexts such as temperature changes, elevations above and below sea level, banking debts and deposits, and sports yardage.
📝 Worked Step-by-Step Example
Starting at −9°C and rising by 15°C gives the equation: −9 + 15 = 6°C.
❓ Frequently Asked Questions
Why does vertical distance between two elevations always require subtracting a negative?
Distance between two points on any axis is calculated as (Coordinate 2 − Coordinate 1). Because sea level is 0, any point below sea level has a negative coordinate. Subtracting that negative coordinate turns into addition: 300 − (−50) = 300 + 50 = 350 meters.
How do I decide whether a word problem calls for addition or subtraction?
If an initial quantity experiences a change, use addition: Initial + Change. If the change is a drop or descent, the change itself is negative. If the question asks for 'the difference between' or 'how much warmer/higher', use subtraction: Higher − Lower.
What does a negative bank balance represent in real life?
A negative bank balance indicates debt: you owe money to the bank (such as after an overdraft). When you deposit money into an overdrawn account, part of your deposit first pays off the debt before the balance becomes positive.
Can a temperature difference ever be negative?
No. When asked for 'the difference between high and low' or 'the temperature range', difference represents a non-negative distance along the temperature scale. You always subtract the smaller number from the larger number to get a positive span.
🗺️ Pedagogical Learning Roadmap
2-Digit Addition without Regrouping→
Master core 2-Digit Addition without Regrouping concepts to build computational fluency.
Prerequisite2-Digit Addition with Regrouping→
Master core 2-Digit Addition with Regrouping concepts to build computational fluency.
Next Step2-Digit by 2-Digit Multiplication→
Advance to 2-Digit by 2-Digit Multiplication practice drills and timed challenges.
Next Step2-Digit Subtraction without Borrowing→
Advance to 2-Digit Subtraction without Borrowing practice drills and timed challenges.
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