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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0:56 minutes

Problem 157

Textbook Question

Write each percent as a decimal. 2.4%

Verified step by step guidance

Start by understanding that a percent is a way of expressing a number as a fraction of 100.

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

For 2.4%, divide 2.4 by 100.

This can be done by moving the decimal point two places to the left.

The result is the decimal representation of the percentage.

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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 relative sizes or to represent proportions. For example, 2.4% means 2.4 out of every 100 parts, which can be useful in various applications such as finance, statistics, and everyday calculations.

Decimal Representation

Decimals are a way of representing fractions in a base-10 system. To convert a percentage to a decimal, you divide the percentage by 100. For instance, to convert 2.4% to a decimal, you calculate 2.4 ÷ 100, resulting in 0.024. This conversion is essential for performing mathematical operations involving percentages.

Conversion Process

The conversion process from percentage to decimal involves a simple mathematical operation. This process is crucial in various fields, including finance and data analysis, where calculations often require decimal forms for accuracy. Understanding this conversion helps in interpreting data correctly and making informed decisions based on numerical information.