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Chapter 1: Problem 21

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

Short Answer

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

Step by step solution

01

Identify the Numbers to subtract

In this case, the numbers involved are 13 and -13.
02

Rewrite the Problem

Remember that subtracting a negative number is the same as adding a positive number. Rewrite the problem as \(13 + 13\).
03

Perform the Addition

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

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

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.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some integers are not rational numbers.

Write each phrase as an algebraic expression. a loss of \(\frac{1}{3}\) of an investment of \(d\) dollars

In Exercises \(109-116\), write a numerical expression for each phrase. Then simplify the numerical expression by performing the given operations. The quotient of \(-25\) and the sum of \(-21\) and 16

Express each sentence as a single numerical expression. Then use the order of operations to simplify the expression Subtract 11 from \(9 .\) Multiply this difference by \(2 .\) Raise this product to the fourth power.

In Exercises \(135-138\), determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Multiplying a negative number by a non negative number will always give a negative number.
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