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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1:03 minutes

Problem 51

Textbook Question

Find each product or quotient where possible. See Example 2. 0 —-8

Verified step by step guidance

Identify the operation to be performed: division.

Recognize that dividing by a negative number will change the sign of the result.

Set up the division: \( \frac{0}{-8} \).

Recall that any number divided by zero is zero.

Conclude that the result of the division is zero.

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Key Concepts

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

Understanding Fractions

Fractions represent a part of a whole and consist of a numerator (the top number) and a denominator (the bottom number). In the context of the question, the fraction 0/-8 indicates that the numerator is zero, which is crucial for determining the value of the fraction. A fraction with a zero numerator is always equal to zero, regardless of the denominator, as long as the denominator is not zero.

Product and Quotient of Fractions

The product of two fractions is found by multiplying their numerators and denominators. The quotient of two fractions involves multiplying the first fraction by the reciprocal of the second. Understanding these operations is essential for simplifying or calculating new fractions based on the given values, such as in the example provided in the question.

Simplifying Fractions

Simplifying fractions involves reducing them to their lowest terms, which means finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by this number. This process is important for clarity and ease of understanding in mathematical expressions. In the case of the fraction 0/-8, simplification is straightforward since it results in 0, which is already in its simplest form.