Problem 21 - Introductory and Intermediate Algebra for College Students 4th

Question

Perform the indicated subtraction. $$13-(-13)$$

Step-by-Step Solution

Answer

The result of \( 13 - (-13) \) is 26.

Step 1: Identify the Numbers to subtract

In this case, the numbers involved are 13 and -13.

Step 2: Rewrite the Problem

Remember that subtracting a negative number is the same as adding a positive number. Rewrite the problem as \(13 + 13\).

Step 3: Perform the Addition

Now, add the two numbers together. The result is 26.

Key Concepts

Negative Numbers

Negative numbers are numbers less than zero. They are typically represented with a minus sign (-) before the number. In the exercise, we have the number -13. Understanding how negative numbers work will greatly help in dealing with subtraction and addition exercises.
Negative numbers behave differently than positive numbers in operations. For instance, when you subtract a negative number, it turns into an addition of the corresponding positive number.

Addition of Integers

The addition of integers involves combining whole numbers, both positive and negative. In our exercise, after rewriting the subtraction problem into an addition problem, we have 13 + 13.
This concept is easy when both integers are positive, but it can get tricky when combining numbers with different signs. Remember:

• If you add a positive integer, you move to the right on a number line.
• If you add a negative integer, you move to the left on a number line.

Here, since both numbers to add are positive, simply sum them to get 26.

Basic Arithmetic Operations

Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations are fundamental for math problem-solving.
In this exercise, we focus primarily on subtraction and addition. Subtraction can be seen as adding a negative number, but remember, these operations are all about finding and understanding the relationships between numbers.
Developing a strong grasp of these basic operations will aid significantly in problem-solving, allowing one to tackle more complex problems efficiently.