Table of contents

0. Review of Algebra4h 16m
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 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

1:06 minutes

Problem 51a

Textbook Question

Find each product or quotient where possible. -8(-5)

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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 whole numbers to find their product. In this case, multiplying -8 by -5 results in a positive product because the multiplication of two negative numbers yields a positive result. Understanding this principle is essential for solving the given expression.

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. In the expression -8(-5), multiplication is performed first, as there are no parentheses or exponents.

Properties of Multiplication

The properties of multiplication include the commutative, associative, and distributive properties, which help simplify calculations. The commutative property states that the order of factors does not affect the product, meaning -8(-5) is the same as -5(-8). Recognizing these properties aids in understanding and solving multiplication problems effectively.