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Addition of integers is the process of combining whole numbers, which include both positive and negative numbers. To add integers, you combine their values by considering their signs.
When adding two positive numbers, their values are simply summed up. For example,

• 5 + 3 = 8

When adding a positive number to a negative number, think of it as a subtraction problem. The sign of the larger absolute value will determine the sign of the result. For example,

• 7 + (-3) = 4

When adding two negative numbers, you combine their absolute values and add a negative sign to the result. For example,

• -2 + (-4) = -6

This process forms the basis of understanding the addition of integers, which we'll apply further with negative numbers.

Negative numbers are numbers less than zero, represented with a minus sign (-).
These numbers can be thought of as points to the left of zero on a number line. Adding negative numbers might seem tricky, but it becomes simple once you grasp the basic rules.
When you add a negative number to a positive one, consider it like subtracting the absolute value of the negative number from the positive one. For example,

• 9 + (-4) = 5

Here, adding -4 to 9 is like taking away 4 from 9.
When you add two negative numbers, you're essentially combining their absolute values and then adding a negative sign. For instance,

• -3 + (-6) = -9

Understanding negative numbers is essential as they frequently appear in arithmetic operations and algebra.

Breaking down a problem into smaller steps makes it easier to solve. Let's go through the provided exercise:

• Identify the expressions to be combined: The given expression is 7 + (-3) + (-5)

There are three numbers to be added.

• Combine the first two numbers: Add 7 and -3, which gives us 4. Now the expression is 4 + (-5)

Combining the first two numbers first simplifies the process.

• Combine the resulting number with the remaining number: Now add 4 and -5, which results in -1. 4 + (-5) = -1

The value of the expression is -1.
By clearly breaking down the problem and solving it step by step, you can solve complex arithmetic expressions more easily. This approach is useful for any mathematical problem.