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Positive Plus Negative Calculator

Reviewed by Calculator Editorial Team

Adding positive and negative numbers can seem tricky, but this calculator makes it simple. Whether you're balancing a budget, calculating temperature changes, or working with financial gains and losses, understanding how to add numbers with different signs is essential.

How to Use This Calculator

Using our positive plus negative calculator is straightforward:

  1. Enter the first number in the "First Number" field.
  2. Enter the second number in the "Second Number" field.
  3. Click the "Calculate" button to see the result.
  4. Review the explanation of the calculation.
  5. Use the "Reset" button to clear the fields and start over.

The calculator will show you the sum of the two numbers and explain how the calculation was performed.

How Positive Plus Negative Works

Adding numbers with different signs involves understanding the concept of absolute value and direction. Here's how it works:

  1. Identify the absolute values of both numbers (ignore their signs).
  2. Subtract the smaller absolute value from the larger one.
  3. Give the result the sign of the number with the larger absolute value.
Result = |First Number| - |Second Number| Sign = Sign of the number with larger absolute value

For example, if you have +5 and -3:

  1. Absolute values are 5 and 3.
  2. 5 - 3 = 2.
  3. The larger absolute value is 5, which is positive.
  4. Final result is +2.

Examples of Positive Plus Negative

Let's look at some examples to see how positive plus negative calculations work in different scenarios.

Example 1: Financial Balance

You have $100 in your bank account and spend $75. What's your new balance?

Calculation: $100 + (-$75) = $25

Explanation: You subtract the $75 from the $100, leaving you with $25.

Example 2: Temperature Change

The temperature was 10°C and dropped by 5°C. What's the new temperature?

Calculation: 10°C + (-5°C) = 5°C

Explanation: You subtract the 5°C drop from the original 10°C, resulting in 5°C.

Example 3: Elevation Change

You climb a mountain that's 2000 meters above sea level and then descend 800 meters. What's your final elevation?

Calculation: 2000m + (-800m) = 1200m

Explanation: You subtract the 800m descent from the 2000m climb, leaving you at 1200m above sea level.

Frequently Asked Questions

What happens when you add a positive and a negative number?
When you add a positive and a negative number, you subtract the smaller absolute value from the larger one and give the result the sign of the number with the larger absolute value.
How do you add numbers with different signs?
To add numbers with different signs, subtract the smaller absolute value from the larger one and keep the sign of the number with the larger absolute value.
What's the difference between adding and subtracting numbers with different signs?
Adding numbers with different signs involves subtracting the smaller absolute value from the larger one, while subtracting numbers with different signs involves adding the absolute values and keeping the sign of the number you're subtracting from.
Can you add more than two numbers with different signs?
Yes, you can add more than two numbers with different signs by following the same rules: subtract the smaller absolute values from the larger ones and keep the sign of the number with the largest absolute value.