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

0:46 minutes

Problem 63e

Textbook Question

Find each product or quotient where possible. -0.06(0.4)

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Key Concepts

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

Multiplication of Decimals

Multiplying decimals involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the product should equal the sum of the decimal places in the factors. For example, in -0.06 and 0.4, the product is calculated as 6 times 4, which equals 24, and since there are two decimal places in total, the final answer is -0.024.

Negative Numbers in Multiplication

When multiplying a negative number by a positive number, the product is always negative. This is a fundamental rule in arithmetic that helps maintain consistency in mathematical operations. In the case of -0.06 and 0.4, the negative sign from -0.06 ensures that the final product is negative, resulting in -0.024.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which different 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 -0.06(0.4), multiplication is performed first, as there are no parentheses or exponents involved.