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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1:04 minutes

Problem 145

Textbook Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 3/8

Verified step by step guidance

Convert the fraction \( \frac{3}{8} \) into a decimal by performing the division 3 divided by 8.

Recognize that the division results in a terminating decimal.

If the decimal were repeating, identify the repeating part and use bar notation to represent it.

Since the decimal is terminating, there is no need for bar notation.

Round the decimal to the nearest thousandth, if necessary.

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Key Concepts

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

Fractions and Decimals

Fractions represent a part of a whole and can be converted into decimals. The fraction 3/8 indicates that 3 is divided by 8, which can be expressed as a decimal by performing the division, resulting in 0.375. Understanding this conversion is essential for solving the problem.

Repeating Decimals

Repeating decimals occur when a decimal representation of a fraction continues infinitely with a repeating pattern. For example, the fraction 1/3 converts to 0.333..., which can be denoted using bar notation as 0.3̅. Recognizing and representing repeating decimals correctly is crucial for accurate answers.

Rounding Decimals

Rounding decimals involves adjusting the decimal to a specified number of places, which simplifies the number while maintaining its value. In this case, rounding to the nearest thousandth means looking at the fourth decimal place to determine whether to round up or down. This concept is important for providing a concise and precise answer.