Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:01 minutes

Problem 41

Textbook Question

Find each sum or difference. 8 - (-13)

Verified step by step guidance

Identify the operation: The problem involves subtraction of a negative number.

Recall the rule: Subtracting a negative number is equivalent to adding its positive counterpart.

Rewrite the expression: Change '8 - (-13)' to '8 + 13'.

Perform the addition: Add the two numbers together.

The result of the addition will give you the final answer.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Subtraction of Integers

Subtraction of integers involves finding the difference between two numbers. When subtracting a negative number, it is equivalent to adding its positive counterpart. For example, in the expression 8 - (-13), the operation transforms into 8 + 13, illustrating how subtracting a negative number increases the value.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign. They are essential in understanding operations involving integers, particularly in subtraction and addition. In the context of the question, -(-13) indicates the negation of a negative number, which results in a positive value, thus affecting the overall calculation.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it is crucial to follow this order when evaluating expressions to avoid errors, especially when multiple operations are involved.