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When adding integers, the first thing to know is that an integer is any whole number. This includes both positive and negative numbers, as well as zero. The process of addition involves combining these whole numbers to find their sum. For example, adding two positive numbers is straightforward: 5 + 3 = 8. However, the process is slightly different when dealing with negative numbers or a mix of positives and negatives. Always remember that adding negative numbers involves moving to the left on the number line, while adding positive numbers moves you to the right.

A negative number is a number that is less than zero. It is typically represented with a minus sign (-) in front of the number. For example, -3, -1, -9 are all negative numbers. Negative numbers are often encountered in everyday scenarios, such as temperatures below freezing or debts. When adding negative numbers, think of it as moving further in the negative direction. This means if you add -1 and -4, you end up at -5, because you are essentially moving 1 step and then another 4 steps to the left of zero on the number line. Negative numbers can be a bit tricky, but with practice, you will get better at evaluating their sums.

Arithmetic operations include basic mathematical procedures like addition, subtraction, multiplication, and division. These operations can be performed on all types of numbers, including integers and negative numbers.
When it comes to adding negative numbers, the key is to recognize that adding a negative number is the same as subtracting a positive number. For example, adding -5 is the same as subtracting 5. This means:

• -10 + (-5) = -10 - 5.

Similarly, combining multiple negative numbers involves continuing this process. In our example exercise:

• First, add -1 and -9 to get -10.
• Then, add -10 and -5 to arrive at -15.

This pattern holds true for any set of negative numbers being added together. Understanding these basic operations is crucial for handling more complex mathematical problems effectively.