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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1:10 minutes

Problem 19

Textbook Question

Find each sum or difference. See Example 1.-2.8 + 4.5

Verified step by step guidance

Identify the operation to be performed: addition of two numbers.

Recognize that the numbers involved are -2.8 and 4.5.

Since one number is negative and the other is positive, this is a case of adding a negative number to a positive number.

To find the sum, subtract the smaller absolute value from the larger absolute value.

Determine the sign of the result based on the sign of the number with the larger absolute value.

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Key Concepts

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

Addition of Real Numbers

Addition of real numbers involves combining two or more numbers to obtain a total. In this case, -2.8 and 4.5 are real numbers, and their sum can be found by aligning their signs. When adding a negative number to a positive number, you subtract the absolute values and keep the sign of the number with the larger absolute value.

Understanding Positive and Negative Values

In mathematics, positive values are greater than zero, while negative values are less than zero. When performing operations with positive and negative numbers, it is essential to recognize how their signs affect the outcome. For example, adding a positive number to a negative number results in a value that is closer to zero than the positive number alone.

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. While this specific question involves only addition, understanding the order of operations is crucial in more complex expressions where multiple operations are present, such as parentheses, exponents, multiplication, and division, before addition and subtraction.