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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0:53 minutes

Problem 151

Textbook Question

Write each percent as a decimal. 54%

Verified step by step guidance

Start with the given percentage: 54\%.

Understand that a percentage is a fraction out of 100.

To convert a percentage to a decimal, divide the percentage by 100.

Perform the division: 54 \div 100.

The result of this division is the decimal representation of 54\%.

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Key Concepts

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

Percentages

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions and is denoted by the symbol '%'. For example, 54% means 54 out of 100, which can be useful in various contexts such as finance, statistics, and everyday calculations.

Decimal Representation

A decimal is a way of representing fractions in a base-10 system, using a decimal point to separate the whole number part from the fractional part. Converting a percentage to a decimal involves dividing the percentage by 100. For instance, 54% as a decimal is 0.54, which simplifies calculations in algebra and other mathematical operations.

Conversion Process

The conversion process from percentage to decimal is straightforward: simply divide the percentage value by 100. This process is essential in algebra for solving equations and understanding ratios, as it allows for easier manipulation of numbers. For example, converting 54% to a decimal (0.54) enables its use in further calculations, such as finding a percentage of a total.