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

1:04 minutes

Problem 90a

Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.087

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Key Concepts

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

Decimal Representation

Decimals are a way of expressing numbers that are not whole, using a decimal point to separate the whole number part from the fractional part. For example, in the decimal 0.087, the '0' represents the whole number part, while '087' represents the fractional part. Understanding how decimals work is essential for converting them into fractions.

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (the top number) and a denominator (the bottom number). To convert a decimal to a fraction, one can express the decimal as a fraction with a denominator that is a power of ten, depending on the number of decimal places. For instance, 0.087 can be written as 87/1000.

Conversion Process

The conversion process from decimal to fraction involves identifying the place value of the last digit in the decimal. For example, in 0.087, the last digit '7' is in the thousandths place, indicating that the fraction will have a denominator of 1000. This process is crucial for accurately representing decimals as fractions without simplifying them.