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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1:19 minutes

Problem 47

Textbook Question

Find each product or quotient where possible. See Example 2.-24 -4

Verified step by step guidance

Identify the operation needed to solve the problem. In this case, it is division because we are finding a quotient.

Write the division expression using the given numbers: \(-24 \div (-4)\).

Recall the rule for dividing two negative numbers: the quotient of two negative numbers is positive.

Perform the division operation by dividing the absolute values of the numbers: \(24 \div 4\).

Combine the results from the previous steps to express the final quotient as a positive number.

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Key Concepts

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

Multiplication of Integers

Multiplication of integers involves combining two or more whole numbers to find their product. In this case, multiplying -24 by -4 results in a positive product, as the product of two negative numbers is always positive. Understanding this rule is essential for correctly calculating the result.

Division of Integers

Division of integers is the process of determining how many times one integer is contained within another. When dividing two integers, the sign of the result depends on the signs of the numbers involved: dividing a negative number by a negative number yields a positive result. This concept is crucial for solving quotient problems.

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. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Applying these rules correctly is vital when solving expressions involving multiple operations.