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 127

Textbook Question

Multiply or divide as indicated. 23.29/1000

Verified step by step guidance

Identify the operation: The problem asks you to divide 23.29 by 1000.

Understand the concept: Dividing by 1000 is equivalent to moving the decimal point three places to the left.

Apply the concept: Start with the number 23.29 and move the decimal point three places to the left.

Visualize the movement: As you move the decimal, fill in any empty spaces with zeros if necessary.

Write down the result: After moving the decimal, you will have the final answer.

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Key Concepts

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

Division of Decimals

Dividing decimals involves shifting the decimal point in the divisor to the right until it becomes a whole number, and then doing the same with the dividend. This process allows for easier calculation. For example, in the expression 23.29 divided by 1000, you would move the decimal in 1000 three places to the right, making it 1, and then move the decimal in 23.29 three places to the left, resulting in 0.02329.

Place Value

Place value is the numerical value that a digit holds based on its position in 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 performing operations with decimals, as it helps in accurately determining the result of division or multiplication.

Rounding Decimals

Rounding decimals is the process of reducing the number of digits in a decimal while maintaining its value close to the original number. This is often done to simplify calculations or to express a number in a more manageable form. For instance, if the result of the division is 0.02329, it can be rounded to 0.023 or 0.02 depending on the required precision.