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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0:59 minutes

Problem 165

Textbook Question

Write each decimal as a percent. 0.004

Verified step by step guidance

Understand that converting a decimal to a percent involves multiplying the decimal by 100.

Write the decimal 0.004 as a fraction: \( \frac{4}{1000} \).

Multiply the decimal 0.004 by 100 to convert it to a percent.

Express the result as a percentage by adding the percent symbol (%) to the number obtained after multiplication.

Verify your conversion by considering that moving the decimal point two places to the right also converts a decimal to a percent.

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Key Concepts

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

Decimal to Percent Conversion

To convert a decimal to a percent, you multiply the decimal by 100 and add a percent sign. For example, to convert 0.004 to a percent, you calculate 0.004 × 100, which equals 0.4%. This process is essential for expressing decimal values in a percentage format, which is often used in statistics and financial contexts.

Understanding Percentages

A percentage represents a fraction of 100. It is a way to express a number as a part of a whole, making it easier to compare different quantities. For instance, saying that 0.4% of a population is affected by a condition provides a clearer understanding than just stating the decimal value, as it relates to a common base of 100.

Significance of Percentages in Real Life

Percentages are widely used in various fields such as finance, education, and health to convey information succinctly. They help in making comparisons, understanding proportions, and analyzing data trends. For example, knowing that a product has a 0.4% discount can influence purchasing decisions, highlighting the practical importance of converting decimals to percentages.