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Minus Negative Numbers Calculator

Reviewed by Calculator Editorial Team

Subtracting negative numbers can be confusing, but it follows simple mathematical rules. This guide explains how to subtract negative numbers correctly and provides a calculator to help you practice.

How to Subtract Negative Numbers

Subtracting negative numbers involves understanding the relationship between positive and negative numbers on the number line. The key is to remember that subtracting a negative number is the same as adding its positive counterpart.

Formula: a - (-b) = a + b

This means that when you subtract a negative number, you're effectively adding the absolute value of that number to the original number.

Rules for Subtracting Negatives

There are two main rules to remember when subtracting negative numbers:

  1. Subtracting a negative number is the same as adding its positive counterpart. For example, 5 - (-3) = 5 + 3 = 8.
  2. Subtracting a positive number from a negative number results in a more negative number. For example, -5 - 3 = -8.

Remember that the negative sign before the parentheses changes the operation inside from subtraction to addition.

Examples of Subtracting Negatives

Let's look at some examples to illustrate how to subtract negative numbers:

Example 1: Subtracting a Negative from a Positive

Calculate 10 - (-4):

  1. Remove the parentheses: 10 - -4
  2. Change the subtraction to addition: 10 + 4
  3. Calculate the sum: 14

Example 2: Subtracting a Positive from a Negative

Calculate -7 - 2:

  1. Subtract the positive number from the negative number: -7 - 2 = -9

Example 3: Subtracting Two Negative Numbers

Calculate -5 - (-3):

  1. Remove the parentheses: -5 - -3
  2. Change the subtraction to addition: -5 + 3
  3. Calculate the result: -2

Common Mistakes

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

  • Forgetting to change subtraction to addition when subtracting a negative number. For example, thinking 5 - (-3) = 5 - 3 instead of 5 + 3.
  • Adding the negative signs together. For example, thinking -5 - -3 = -8 instead of -2.
  • Confusing the order of operations. For example, thinking -5 - 3 = 2 instead of -8.

Double-check your work and remember the basic rules of subtracting negative numbers to avoid these common errors.

FAQ

What is the rule for subtracting negative numbers?
The rule for subtracting negative numbers is that subtracting a negative number is the same as adding its positive counterpart. For example, 5 - (-3) = 5 + 3 = 8.
How do you subtract a negative number from a positive number?
To subtract a negative number from a positive number, remove the parentheses and change the subtraction to addition. For example, 10 - (-4) = 10 + 4 = 14.
What happens when you subtract a positive number from a negative number?
When you subtract a positive number from a negative number, the result is a more negative number. For example, -5 - 3 = -8.
How do you subtract two negative numbers?
To subtract two negative numbers, remove the parentheses and change the subtraction to addition. For example, -5 - (-3) = -5 + 3 = -2.
What are some common mistakes when subtracting negative numbers?
Common mistakes include forgetting to change subtraction to addition when subtracting a negative number, adding the negative signs together, and confusing the order of operations.