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# Chapter 3 Review

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Chapter 3 Review. October 7th Lecture Notes.

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### Chapter 3 Review

1. 1. Chapter 3 Review Best Be Taking Notes: This is what your test is on. By: Ms. Dewey-Hoffman
2. 2. Section 3.1: Rounding and Estimating <ul><li>What is rounding? </li></ul><ul><li>Rounding: taking a number and making it more manageable to a certain placeholder. </li></ul><ul><li>Do this when you do not need an exact value. </li></ul><ul><li>What is estimating? </li></ul><ul><li>Rounding and finding the product, quotient, sum, or difference is estimating. </li></ul><ul><li>This helps find an appropriate answer that is not exact. But close to the real answer. </li></ul>
3. 3. Three Ways of Estimating “about” or “approximately equal to” <ul><li>Rounding: </li></ul><ul><li>Round to different placeholders. </li></ul><ul><li>Estimating: </li></ul><ul><li>Round to the same placeholder. </li></ul><ul><li>Front-End Estimating: </li></ul><ul><li>Often closer to the exact answer then by rounding! </li></ul><ul><li>Add the left-side of the decimal, then round and add the right-side of the decimal. Finally: add the two sides. </li></ul><ul><li>Clustering: </li></ul><ul><li>When values are close to one value, make them all the same value and add. </li></ul>
4. 4. Example Problems: Round to the Underlined Place Value. <ul><li>58.6 5 9 </li></ul><ul><li>3 2 .876 </li></ul><ul><li>.87 3 24 </li></ul><ul><li>.00 6 49 </li></ul>
5. 5. Example Problems: Estimate by Rounding <ul><li>\$37.99 + \$32.06  ______ </li></ul><ul><li>0.379 + .899  ______ </li></ul><ul><li>72.98 – 28.301  ______ </li></ul>
6. 6. Example Problems: Use Front-End Estimation <ul><li>10.95 + 11.75 + 23.23  ______ </li></ul><ul><li>\$15.24 + \$0.55 + \$9.99  _______ </li></ul><ul><li>5.32 + 3.12 + 7.34  _______ </li></ul>
7. 7. Example Problems: Estimate by Clustering <ul><li>13.45 + 12.95 + 14.02  ________ </li></ul><ul><li>9.5 + 9.25 + 9.85  ________ </li></ul><ul><li>\$99.56 + \$100.25 + \$101.04  _______ </li></ul>
8. 8. Word Problem <ul><li>Lake Superior, the largest of the Great lakes, has an area of 31,760 miles ². Lake Erie, the smallest of the Great Lakes, has an area of 9,920 miles ². About how much larger is Lake Superior than Lake Erie? </li></ul><ul><li>How would you solve this problem? </li></ul><ul><li>What does “ABOUT” mean here? </li></ul>
9. 9. Section 3.2: Estimating Decimal Products and Quotients <ul><li>Estimating the products and quotients of decimals is a good way of checking mental math. </li></ul><ul><li>Multiplying Decimals: Estimate using any method. </li></ul><ul><li>Dividing Decimals: Round the Divisor, Round the Dividend (to a compatible number), then Divide! </li></ul>
10. 10. Example Problems: Multiplication Estimation <ul><li>32.57 • 4.2  _______ </li></ul><ul><li>193.7 • 1.78  _______ </li></ul><ul><li>16.33 • 3.5  _______ </li></ul>
11. 11. Example Problems: Division Estimation <ul><li>7.95  2.1  ______ </li></ul><ul><li>120.32  4.948  ______ </li></ul><ul><li>\$32.42  4.68  ______ </li></ul>
12. 12. Word Problem: Estimation <ul><li>Shari is planning a 450 miles car trip. Her car can travel about 39 miles on a gallon of gasoline. Gasoline costs \$1.19/gal. About how much will the gas cost for her trip? </li></ul><ul><li>450 miles   40 miles/gallon  11 gallons </li></ul><ul><li>11 gallons • \$1.19/gallon  \$12 on gas. </li></ul>
13. 13. Section 2.3: The 3 Ms. <ul><li>Measures of Central Tendency </li></ul><ul><li>Mean ? Data items divided by number of data items. </li></ul><ul><li>Median ? The middle data item when data items are in order. Or the average of the two middle most data items. </li></ul><ul><li>Mode ? The date item that occurs most often. There can be 1 mode, no mode, or multiple modes. </li></ul><ul><li>Outlier ? A data value that is much lower or much higher then the other data items. </li></ul>
14. 14. Example Problems: Find Me M, M & M for all 3. Outlier? <ul><li>14.5, 7, 13.5, 15, 15, 16, 13.5 </li></ul><ul><li>53, 53, 55, 45, 47, 51, 57, 58 </li></ul><ul><li>5.6, 6.8, 1.2, 6.5, 7.9, 6.5 </li></ul>Mean: 13.5, Median: 14.5, Mode: 13.5 and 15, Outlier: 7 Mean: 52.4, Median: 53, Mode: 53. No Outlier. Mean: 5.8, Median: 6.5, Mode: 6.5. Outlier: 1.2
15. 15. Section 3.4: Using Formulas <ul><li>Formula : an equation that shows a relationship between qualities that are represented by variables. </li></ul><ul><li>Distance: d = rt </li></ul><ul><li>Fahrenheit: F = 1.8C + 32 </li></ul><ul><li>Perimeter: P = 2 l + 2 w or P = 2( l + w ) </li></ul>
16. 16. Assignment #20 <ul><li>Pages: 164-165: 1-9 All, 12-31 All. </li></ul><ul><li>I want you to read each summary at the top of each section. </li></ul><ul><li>Make sure you know the definitions to each Key Term at the top of Page 164. </li></ul>