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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1:09 minutes

Problem 121

Textbook Question

Multiply or divide as indicated. 0.094 * 1000

Verified step by step guidance

Identify the operation: The problem asks you to multiply 0.094 by 1000.

Understand the effect of multiplying by 1000: Multiplying a decimal by 1000 moves the decimal point three places to the right.

Apply the operation: Move the decimal point in 0.094 three places to the right.

Fill in any necessary zeros: If there are not enough digits to move the decimal point three places, add zeros as needed.

Write the new number: After moving the decimal point, write down the resulting number.

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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 shifting the decimal point in the product based on the total number of decimal places in the factors. For example, in the multiplication of 0.094 and 1000, you multiply as if they were whole numbers (94 and 1000) and then adjust the decimal point in the result according to the decimal places in the original numbers.

Place Value

Place value is the value of a digit based on its position within a number. In decimal numbers, each position to the right of the decimal point represents a fraction of ten. Understanding place value is crucial when multiplying or dividing decimals, as it helps determine where to place the decimal point in the final answer.

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. In this case, since the operation is straightforward multiplication, it follows the basic rule of performing multiplication directly without the need for parentheses or additional operations.