Four Operations with Positive and Negative Numbers Calculator
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Reviewed by Calculator Editorial Team
This calculator helps you perform the four basic arithmetic operations (addition, subtraction, multiplication, and division) with both positive and negative numbers. It follows standard mathematical rules and provides clear results with explanations.
How to Use This Calculator
To use the calculator:
- Enter the first number in the "First Number" field.
- Select the operation you want to perform (addition, subtraction, multiplication, or division).
- Enter the second number in the "Second Number" field.
- Click the "Calculate" button to see the result.
- Use the "Reset" button to clear all fields and start over.
The calculator will display the result of the operation and show a visual representation of the numbers and operation.
Basic Rules for Operations with Positive and Negative Numbers
Addition Rules
- Positive + Positive = Positive
- Positive + Negative = Positive or Negative (depending on which is larger)
- Negative + Negative = Negative
Subtraction Rules
- Positive - Positive = Positive or Negative (depending on which is larger)
- Positive - Negative = Positive
- Negative - Positive = Negative
- Negative - Negative = Positive or Negative (depending on which is larger)
Multiplication Rules
- Positive × Positive = Positive
- Positive × Negative = Negative
- Negative × Negative = Positive
Division Rules
- Positive ÷ Positive = Positive
- Positive ÷ Negative = Negative
- Negative ÷ Negative = Positive
Formula: For any operation, the result's sign depends on the combination of signs of the two numbers.
Worked Examples
Example 1: Addition
Calculate 5 + (-3)
Since you're adding a positive and a negative number, you subtract the smaller absolute value from the larger one and keep the sign of the larger number.
5 + (-3) = 2
Example 2: Subtraction
Calculate (-4) - (-2)
Subtracting a negative is the same as adding a positive.
(-4) - (-2) = -4 + 2 = -2
Example 3: Multiplication
Calculate (-3) × (-5)
Multiplying two negatives gives a positive result.
(-3) × (-5) = 15
Example 4: Division
Calculate 12 ÷ (-3)
Dividing a positive by a negative gives a negative result.
12 ÷ (-3) = -4
Common Mistakes to Avoid
- Forgetting to consider the signs of numbers when performing operations.
- Mixing up the order of numbers when subtracting negative numbers.
- Assuming that multiplying or dividing by a negative number always results in a negative number.
- Not simplifying the result to its simplest form.
Tip: Always double-check the signs of your numbers and the operation you're performing to ensure you get the correct result.
FAQ
What happens when you add two negative numbers?
When you add two negative numbers, the result is always negative. For example, (-3) + (-2) = -5.
How do you subtract a negative number?
Subtracting a negative number is the same as adding its positive counterpart. For example, 5 - (-3) = 5 + 3 = 8.
What is the rule for multiplying negative numbers?
Multiplying two negative numbers gives a positive result. For example, (-2) × (-3) = 6.
How do you divide negative numbers?
Dividing two negative numbers gives a positive result. For example, (-12) ÷ (-3) = 4.