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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0:48 minutes

Problem 65

Textbook Question

Find each product or quotient where possible. -14/2

Verified step by step guidance

Identify the operation needed: This problem requires division.

Recognize the numbers involved: The numerator is -14 and the denominator is 2.

Apply the division operation: Divide the numerator by the denominator.

Consider the sign rules for division: A negative number divided by a positive number results in a negative quotient.

Write the expression as a simplified fraction or integer, considering the sign from the previous step.

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Key Concepts

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

Division

Division is one of the four basic arithmetic operations, representing the process of determining how many times one number is contained within another. In the expression -14/2, the number -14 is divided by 2, which means we are finding out how many groups of 2 can be made from -14. The result of this operation is -7.

Negative Numbers

Negative numbers are values less than zero, often used to represent a deficit or a loss. In the context of the expression -14, the negative sign indicates that the quantity is below zero. Understanding how to work with negative numbers is crucial, especially when performing operations like division, as they can affect the sign of the result.

Simplifying Expressions

Simplifying expressions involves reducing them to their simplest form, making calculations easier to understand and perform. In the case of -14/2, simplifying means performing the division to arrive at a single value, which is -7. This process is essential in algebra to ensure clarity and efficiency in solving equations.