Calculator for Negative and Positive Numbers

This calculator helps you perform basic arithmetic operations with both negative and positive numbers. Whether you're working with temperatures, financial transactions, or scientific measurements, understanding how to handle negative numbers is essential.

How to Use This Calculator

Using this calculator is simple. Just enter the numbers you want to work with and select the operation you need. The calculator will display the result immediately.

Tip: Remember that multiplying two negative numbers gives a positive result, while dividing a negative number by a negative number also gives a positive result.

Basic Operations with Negative and Positive Numbers

When working with negative and positive numbers, the basic arithmetic operations follow these rules:

Addition: Positive + Positive = Positive
Positive + Negative = Difference between numbers
Negative + Negative = Negative

Subtraction: Positive - Positive = Difference between numbers
Positive - Negative = Sum of numbers
Negative - Negative = Difference between numbers

Multiplication: Positive × Positive = Positive
Positive × Negative = Negative
Negative × Negative = Positive

Division: Positive ÷ Positive = Positive
Positive ÷ Negative = Negative
Negative ÷ Negative = Positive

Real-World Examples

Here are some practical examples of how negative and positive numbers work together:

Example 1: Temperature Changes

If the temperature drops from +5°C to -3°C, the change in temperature is calculated as:

-3°C - 5°C = -8°C

The temperature decreased by 8 degrees Celsius.

Example 2: Financial Transactions

If you have $100 in your account and you spend $150, your new balance is:

$100 - $150 = -$50

You now owe $50.

Example 3: Scientific Measurements

If an object moves 10 meters to the right and then 5 meters to the left, its net displacement is:

10m - 5m = 5m

The object is 5 meters to the right of its starting point.

Common Mistakes to Avoid

When working with negative numbers, it's easy to make mistakes. Here are some common errors to watch out for:

Sign Errors: Forgetting to include the negative sign when it's appropriate.
Operation Confusion: Mixing up addition and subtraction, or multiplication and division.
Order of Operations: Not following the correct sequence of operations (PEMDAS/BODMAS).

Remember: Always double-check your calculations, especially when dealing with negative numbers.

Frequently Asked Questions

What happens when you add a negative and a positive number?

When you add a negative and a positive number, you subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. For example, 5 + (-3) = 2.

What is the result of multiplying two negative numbers?

The result of multiplying two negative numbers is always positive. For example, -3 × -4 = 12.

How do you subtract a negative number?

Subtracting a negative number is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

What is the difference between negative and positive numbers?

Negative numbers represent values less than zero, while positive numbers represent values greater than zero. Zero is neither positive nor negative.

How do you divide a negative number by a positive number?

When you divide a negative number by a positive number, the result is negative. For example, -6 ÷ 2 = -3.