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Percents & Decimals

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Percents & Decimals

Study Guide

Key Definition

A percent is a way to express a number as a fraction of 100. A decimal is a number that represents a fraction using powers of 10.

Important Notes

To convert a percent to a decimal, divide by 100: $20\%$ becomes $0.2$
Decimals can represent fractions: $0.5$ is $\frac{1}{2}$
Percents are used to compare values easily since they are all out of 100
Decimals are useful for precision in calculations
Fractions, decimals, and percents are interconnected

Mathematical Notation

$\%$ represents a percent

$\frac{a}{b}$ represents a fraction

$\times$ or $*$ represents multiplication

$\div$ or $/$ represents division

Remember to use proper notation when solving problems

Why It Works

By converting between percents, decimals, and fractions, you can easily compare and compute with different types of numbers.

Remember

To convert a decimal to a percent, multiply by 100 and add the percent sign: $0.75$ becomes $75\%$

Quick Reference

Decimal to Percent:$\text{Decimal} \times 100 = \text{Percent}$

Percent to Decimal:$\frac{\text{Percent}}{100} = \text{Decimal}$

Understanding Percents & Decimals

Choose your learning level

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Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

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Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Convert $25\%$ to a decimal.

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you save $15\%$ of your allowance each week, how much do you save if your allowance is $\$50$?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Find the decimal equivalent of $\frac{3}{4}$.

Challenge Quiz

Single Choice Quiz

Advanced

Convert $0.375$ to a percent.

Recap

Watch & Learn

Review key concepts and takeaways