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 2 Fractions and Decimals > Lesson 2.15 Estimating with Fractions and Decimals
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And now we're going to look at how we can estimate with fractions and decimals. So a triangle has sides of 3 and 1 fourth, 5.8, and 9 and 6 sevenths. Estimate the perimeter. First we'll set up our triangle so that we can see visually what it will look like. So we know that to find the perimeter of a triangle, we're going to add the lengths of all three sides together. But they tell us to just estimate the perimeter. So we don't need to find the exact value. So whenever we see the word estimate, remember that it means that we can round the numbers first and then calculate the answer. So let's see where all of these numbers would fall on a number line. That's going to help us to round them off. Here's a little number line, and we place all three of our numbers there. Notice that the 3 and 1 fourths is closest to the 3. We want to see what whole number each of these is closest to. We're going to round them off to whole numbers. So 3 and 1 fourths would round off to 3 because it's closest to 3 on the number line. The 5.8 is closest to the 6th, so that will round off to 6. And 7 and 8 ninths is closest to 8, so that will round off to 8. Now that everything is rounded to a whole number, we can add them up to find the perimeter. So we have 3 plus 6 plus 8, add those up, and we get 17. So now we know that the perimeter of the triangle is about 17.
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