3.3 Converting Integers to Decimals and Fractions
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 3.3 Converting Integers to Decimals and Fractions
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+ Video Transcript
When you're working with a problem that has mostly decimals or mostly fractions, it's usually helpful to convert all of the numbers into the same format. So in this lesson, we'll look at how we can convert integers into decimals and fractions. So here we're going to write 38 as a decimal. So our first step is to place a decimal point after the last digit. So we have our whole number, 38 and place a decimal point at the end. And next we can place as many zeros after the decimal point as you need. Depending on the situation and the type of problem you're working with, it might be helpful to have just 1 zero after the decimal point or two zeros. Or you can keep going and add as many zeros as you need. It doesn't change the value of our number. It still has a value of 38. If you're working with dollars, it's best to place two zeros after the decimal point. So if we have $38, we want to show two places after the decimal point to represent the cents that go with the dollars. Now we'll write our same number, 38 as a fraction. So first step is to place the integer in the numerator of the fraction. So 38 will go above the fraction line. Second step, place a one as the denominator and that's it. If you remember, a fraction represents division. So this is really just saying 38 divided by one, which is still just equal to 38. So by placing a one as the denominator or dividing by one, we don't change the value of our number. It's still worth 38. Now, what happens when we have a negative integer? So here we're going to write negative 38 as a fraction. But we can place that negative sign in different places as a part of our fraction. So we can place the negative sign in front of the whole fraction with 38 over one as the fraction part. Or we could place the negative sign in the numerator with the 38. Or we could also place it in the denominator with the one. All three of these fractions have the same value. So just remember, when you have a negative fraction, you can place the negative to the left of the fraction, in the numerator or in the denominator.
