Master Negative Numbers
Complete guide to negative numbers with free interactive practice tool. Learn operations with step-by-step explanations and instant feedback
What are Negative Numbers?
Understanding numbers below zero
Negative numbers are numbers less than zero. They are represented with a minus sign (-) and are used to represent values below a reference point, such as temperatures below freezing, depths below sea level, or debts. Understanding negative numbers is fundamental to algebra and many real-world applications.
Temperature
Negative numbers represent temperatures below freezing point, like -5°C or -10°F.
Finance
Used to represent debts, losses, or amounts owed, like a balance of -$50.
Elevation
Represent depths below sea level or elevations below a reference point.
Operations with Negative Numbers
Master addition, subtraction, multiplication, and division with negative numbers
Adding Negative Numbers
Adding a negative number is the same as subtracting its positive value.
5 + (-3) = 5 - 3 = 2
(-4) + (-2) = -6
(-7) + 3 = -4
Subtracting Negative Numbers
Subtracting a negative number is the same as adding its positive value.
5 - (-3) = 5 + 3 = 8
(-4) - (-2) = -4 + 2 = -2
(-7) - 3 = -10
Multiplying Negative Numbers
When multiplying: same signs = positive, different signs = negative.
(-3) × (-4) = 12
(-3) × 4 = -12
3 × (-4) = -12
Dividing Negative Numbers
When dividing: same signs = positive, different signs = negative.
(-12) ÷ (-4) = 3
(-12) ÷ 4 = -3
12 ÷ (-4) = -3
Common Mistakes and Tips
Common Mistakes
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Forgetting that subtracting a negative is like adding: 5 - (-3) ≠ 2, it equals 8
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Confusing the rules for multiplication: (-3) × (-4) is positive (12), not negative
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Not paying attention to the order of operations when negative numbers are involved
Helpful Tips
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Remember: "minus a minus equals plus" - subtracting a negative is like adding
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For multiplication/division: "same signs positive, different signs negative"
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Use a number line to visualize negative numbers and operations
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Practice regularly with our interactive tool to build confidence
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Interactive Practice Tool
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