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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1:07 minutes

Problem 31

Textbook Question

Find each sum or difference. 13 + (-4)

Verified step by step guidance

Identify the numbers involved in the operation: 13 and -4.

Recognize that you are adding a positive number (13) and a negative number (-4).

Understand that adding a negative number is equivalent to subtracting its absolute value from the positive number.

Subtract the absolute value of -4, which is 4, from 13.

Calculate the result of 13 - 4 to find the sum or difference.

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Key Concepts

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

Addition of Integers

Addition of integers involves combining two whole numbers to find their total. When adding a positive integer to a negative integer, the result is determined by the absolute values of the numbers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign. They are used to indicate a loss, a decrease, or a position below a defined point, such as sea level. Understanding how to work with negative numbers is crucial for performing operations like addition and subtraction correctly.

Number Line

A number line is a visual representation of numbers in a straight line, where each point corresponds to a number. It helps in understanding the relative positions of positive and negative numbers, as well as the results of operations like addition and subtraction. For example, moving to the right indicates addition, while moving to the left indicates subtraction.