1.2 Commutative and Associative Properties
1.3 Identity and Inverse Properties
2.3 Fractions Equal to Whole Numbers
2.4 Converting Mixed and Improper Fractions
2.5 Adding and Subtracting Fractions with Like Denominators
2.6 Adding and Subtracting Fractions with Unlike Denominators
2.9 Understanding Keep, Change, Flip
3.1 Converting Fractions to Decimals
3.2 Converting Decimals to Fractions
3.3 Converting Integers to Decimals and Fractions
3.7 Understanding Proportional Ratios
3.8 Identifying Proportional Ratios
3.9 Comparing Ratios with Rates and Prices
3.11 Converting Percent to Fraction and Decimal
4.1 Operations and Expressions
4.3 Expressions with Addition and Subtraction
4.4 Expressions with Multiplication and Division
4.5 Expressions with Exponents
4.6 Expressions with Decimals and Fractions
4.10 Understanding Distributive Property
4.11 Using the Distributive Property
4.12 Combining Like Terms with Distributive Property
5.2 The Goal of Solving Equations
5.3 Checking the Answer to an Equation
5.4 Solving Equations with Addition and Subtraction
5.5 Solving Equations with Multiplication
5.6 Solving Equations with Division
5.7 Starting a Two-Step Equation
5.8 Solving Two-Step Equations
5.9 Simplifying and Solving Two-Step Equations
5.11 Translating Math Expressions
5.12 Translating Math Equations
5.13 Strategies for Algebraic Word Problems
6.2 Comparing Integers and Decimals
6.4 Graphing Inequalities on Number Lines
6.5 Writing Inequalities from Number Lines
6.6 Translating Inequalities from Word Problems
6.7 Solving Inequalities with Addition and Subtraction
6.8 Solving Inequalities with Multiplication and Division
6.9 Inequalities with Negative Numbers
6.10 Solving Inequalities with Negative Numbers
6.11 One-Step Inequality Word Problems
6.12 Writing Inequalities Different Ways
6.13 Solving Two-Step Inequalities
Math Basics > Unit 3 Ratios and Percent > Lesson 3.10 Understanding Percent
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In this lesson, we're going to learn about percent. Now, you've probably seen a percent before. It's a number written with a symbol after it. And that symbol looks like a slanted line with two circles. But what exactly does that symbol represent? So a percent is a type of part to total ratio where the total is 100. So we can recognize a percent by the symbol, but we can also think of that symbol as meaning per 100 or out of 100. So the word percent translates to per 100 or out of 100. So if we see this 20%, we can think of it as 20 per 100 or 20 out of 100. Here's another example. 85 out of 100 teenagers have cell phones. There's many different ways that we can represent that 85 out of 100. And we've been learning about ratios. So we can set this up as a fraction as 85 over 100. Or we could translate that to a decimal as 85 hundredths, 0.85. But now we know that out of 100 can also be used as a percent. So 85 out of 100 can be written as 85%. As we move forward with our lessons, we're going to learn how to solve all different types of problems that have percent. But it's very important to remember that when we do calculations with percent, we have to convert it to a fraction or decimal first. So if you see a problem like this 25% times eight, we can't solve it in this format. We have to convert that percent to a fraction or decimal. So we could do 25 over 100 times eight, that would be okay. Or we could do zero point 25 times eight and set it up as a decimal. That would also be okay. So now you've learned what a percent is. It's a way of representing a ratio that's out of 100. And when we do calculations with percent, we have to convert it to a fraction or a decimal.
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