Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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0:39 minutes

Problem 67

Textbook Question

Find each product or quotient where possible. -24/-4

Verified step by step guidance

Identify the operation: This problem involves division, as indicated by the division symbol.

Recognize the signs: Both the numerator (-24) and the denominator (-4) are negative.

Apply the rule for division of negative numbers: Dividing two negative numbers results in a positive quotient.

Divide the absolute values: Calculate the division of the absolute values, which is 24 divided by 4.

Combine the results: Since the division of two negative numbers is positive, the final result will be positive.

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Key Concepts

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

Division of Integers

Division of integers involves determining how many times one integer can be subtracted from another. In this case, dividing -24 by -4 means finding how many times -4 fits into -24. The result of dividing two negative numbers is positive, which is a fundamental rule in arithmetic.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign. Understanding how to work with negative numbers is crucial in algebra, especially when performing operations like addition, subtraction, multiplication, and division. The interaction between negative and positive numbers can affect the outcome of calculations significantly.

Simplifying Fractions

Simplifying fractions involves reducing them to their simplest form, where the numerator and denominator have no common factors other than one. In the context of division, the result of -24/-4 can be expressed as a fraction, which can then be simplified to yield a clearer and more concise answer.