Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles40m
2. Trigonometric Functions on Right Triangles2h 5m
3. Unit Circle1h 19m
4. Graphing Trigonometric Functions1h 19m
5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
6. Trigonometric Identities and More Equations2h 34m
7. Non-Right Triangles1h 38m
8. Vectors2h 25m
9. Polar Equations2h 5m
10. Parametric Equations1h 6m
11. Graphing Complex Numbers1h 7m

0. Review of College Algebra

Solving Linear Equations

Trigonometry

0. Review of College Algebra

Solving Linear Equations

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1:07 minutes

Problem 15

Textbook Question

Find each sum or difference. See Example 1.13 + (-4)

Verified step by step guidance

Identify the operation: This is an addition problem involving a positive number and a negative number.

Rewrite the expression: 13 + (-4) can be rewritten as 13 - 4.

Understand the concept: Adding a negative number is the same as subtracting its absolute value.

Perform the subtraction: Subtract 4 from 13.

The result of the subtraction 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.

Addition of Integers

Addition of integers involves combining two whole numbers to produce a sum. 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 deficit or a loss in various contexts, such as temperature or financial calculations. Understanding how to work with negative numbers is crucial for performing arithmetic operations 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 addition and subtraction. Using a number line can clarify how to combine integers, especially when dealing with negative values.