## Mastering Addition and Subtraction of Negative Numbers

Adding and subtracting negative numbers can initially seem confusing, but with a clear understanding of the rules, it becomes straightforward. These operations are essential in various math problems and real-life situations, such as calculating debts or temperature changes.

##### Introduction

Negative numbers represent values less than zero. When working with them, it’s important to understand how to add and subtract correctly. Let’s break down the steps and rules to make this easy.

###### Addition of Negative Numbers

When adding negative numbers, follow these steps:

**Same signs:**If the numbers have the same sign (both negative), add their absolute values and keep the negative sign.**Different signs:**If the numbers have different signs (one positive, one negative), subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

###### Example: Adding -3 and -5

Both numbers are negative, so add their absolute values:

3 + 5 = 8

Since both numbers are negative, the result is also negative:

-3 + -5 = -8

##### Subtraction of Negative Numbers

When subtracting negative numbers, follow these steps:

**Change to addition:**Change the subtraction sign to an addition sign and change the sign of the number being subtracted.**Follow addition rules:**Apply the rules for addition of negative numbers.

###### Example: Subtracting -3 from -5

Change the subtraction to addition and change the sign of -3:

-5 - (-3) becomes -5 + 3

Now, follow the addition rules:

-5 + 3 = -2

So, -5 - (-3) equals -2.

##### Fun Example: Temperature Changes 🌡️

**Temperature Drop**

Imagine it's -10 degrees outside, and the temperature drops by 5 degrees. To find the new temperature, add the negative numbers:

-10 + -5 = -15

So, the new temperature is -15 degrees.

**Temperature Rise**

Now imagine it's -10 degrees outside, and the temperature rises by 7 degrees. To find the new temperature, subtract the negative number:

-10 + 7 = -3

So, the new temperature is -3 degrees.

Understanding how to add and subtract negative numbers makes dealing with real-life scenarios, like temperature changes or financial calculations, muc