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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1:06 minutes

Problem 155

Textbook Question

Write each percent as a decimal. 117%

Verified step by step guidance

Understand that converting a percentage to a decimal involves dividing by 100.

Recognize that 117% can be expressed as \( \frac{117}{100} \).

Perform the division: \( 117 \div 100 \).

This division will shift the decimal point two places to the left.

Write the result as a decimal number.

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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, 50% means 50 out of 100, or half of a whole. Understanding percentages is crucial for converting them into other forms, such as decimals.

Decimal Conversion

Converting a percentage to a decimal involves dividing the percentage by 100. This process transforms the percentage into a form that is often easier to work with in mathematical calculations. For instance, to convert 117% to a decimal, you would calculate 117 ÷ 100, resulting in 1.17.

Mathematical Operations

Understanding basic mathematical operations, such as division, is essential for converting percentages to decimals. This knowledge allows students to manipulate numbers effectively and apply them in various contexts, such as finance, statistics, and algebra. Mastery of these operations is foundational for more complex mathematical concepts.