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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1:01 minutes

Problem 11

Textbook Question

Find each sum or difference. See Example 1.-6 + (-13)

Verified step by step guidance

Identify the operation: This problem involves addition of two negative numbers.

Recall the rule for adding negative numbers: When adding two negative numbers, you add their absolute values and keep the negative sign.

Find the absolute values: The absolute value of -6 is 6, and the absolute value of -13 is 13.

Add the absolute values: 6 + 13.

Apply the negative sign to the result of the addition.

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Key Concepts

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

Addition of Integers

The addition of integers involves combining two whole numbers, which can be positive or negative. When adding a negative integer, you effectively subtract its absolute value from the other number. For example, adding -6 and -13 means you are moving 6 units left from zero and then 13 more units left, resulting in a total of -19.

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 below freezing or financial debt. Understanding how to work with negative numbers is crucial for performing operations like addition and subtraction accurately.

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 numbers, including positive and negative values. When performing operations like addition or subtraction, the number line can be a useful tool to visualize the movement from one number to another.