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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0:40 minutes

Problem 69

Textbook Question

Find each product or quotient where possible. 100/-25

Verified step by step guidance

Identify the numbers involved in the division: 100 and -25.

Recall that division is the process of determining how many times the divisor (in this case, -25) fits into the dividend (100).

Understand that dividing a positive number by a negative number results in a negative quotient.

Perform the division by dividing the absolute values: 100 divided by 25.

Apply the sign rule for division: since the dividend is positive and the divisor is negative, the quotient will be negative.

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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 100 by -25 means finding how many times -25 fits into 100. The result will be a negative integer since a positive number divided by a negative number yields a negative result.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign. When performing operations involving negative numbers, it's essential to remember the rules: a positive divided by a negative results in a negative, while a negative divided by a positive also results in a negative. This concept is crucial for accurately determining the sign of the result.

Simplifying Fractions

Simplifying fractions involves reducing them to their lowest terms. In the context of division, the result can often be expressed as a fraction. Understanding how to simplify fractions helps in interpreting the final answer more clearly, especially when dealing with products or quotients of integers.