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

0:50 minutes

Problem 83d

Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.4

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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 0.4, the '4' is in the tenths place, indicating that it represents four-tenths of a whole.

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 identifies the place value of the decimal and uses it to form the fraction, such as 0.4 being equivalent to 4/10.

Non-Lowest Terms

When instructed not to write a fraction in lowest terms, it means to present the fraction as it is derived from the decimal without simplifying it. For instance, 4/10 is the direct conversion of 0.4 and is not reduced to 2/5, which would be its lowest terms.