Comparing and Ordering Decimals

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Information about Comparing and Ordering Decimals

Published on May 23, 2008

Author: afabbro


Comparing and Ordering Decimals : Comparing and Ordering Decimals When Will I Ever Do That???!!! McDonald’s Menu….I’m Lovin It!! : McDonald’s Menu….I’m Lovin It!! Double Cheeseburger: $ .99 Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80 Small Drink: $ .99 McFlurry: $ 1.97 Salad: $ 4.80 2 Cheeseburger Meal: $ 3.70 Ice Cream Cone: $ .87 Order Up!Least Expensive to Most Expensive : Order Up!Least Expensive to Most Expensive Ice Cream Cone .87 Double Cheeseburger: .99 Small Soft Drink: .99 McFlurry: 1.97 2 Cheeseburger Meal: 3.70 Chicken McNuggetts Meal: 3.80 Big Mac Value Meal: 4.79 Chicken Salad: 4.80 What Do I Mean Compare Decimals? : What Do I Mean Compare Decimals? When we compare we use terms such as: Less than < Greater than > Equal to = Comparing decimals is similar to comparing whole numbers. 45<47 150>105 When we compare decimals we use place value or a number line. Place Value : Place Value Thousands Hundreds Tens Ones Tenths Hundredths Thousandths Ten-thousandths Slide 6: Compare Sara’s score with Danny’s score. Line Up Decimal Points Sara: 42.1 Danny: 42.5 Start at the left and find the first place where the digits differ. Compare the digits 1<5 42.1<42.5 This means Sara’s score was lower than Danny’s score. Half pipe Results Let’s Try Using A Number Line : Let’s Try Using A Number Line 42.0 42.1 42.5 Numbers to the right are greater than numbers to the left. Since 42.5 is to the right of 42.1 we have: 42.5>42.1 Slide 8: Half pipe Results 1 2 5 4 3 Equivalent Decimals : Equivalent Decimals Decimals that name the same number are called equivalent decimals. 0.60 and 0.6 Are these the same??? Slide 10: 0.60 0.6 = Annexing Zeros : Annexing Zeros This means placing a zero to the right of the last digit in a decimal. 0.6 0.60 Although we added a zero, the value of the decimal did not change!! Annexing or adding zeros is useful when ordering a group of decimals. Ordering Decimals : Ordering Decimals We can order decimals from least to greatest or we can order from greatest to least. Let’s try an example: Order 15, 14.95, 15.8, and 15.01 from least to greatest 15, 14.95, 15.8, 15.01 : First, line up the decimal points 15 14.95 15.8 15.01 15, 14.95, 15.8, 15.01 15, 14.95, 15.8, 15.01 : 15, 14.95, 15.8, 15.01 Next, annex zeros so that each number has the same number of decimal places 15.00 14.95 15.80 15.01 15, 14.95, 15.8, 15.01 : 15, 14.95, 15.8, 15.01 Finally, use place value to compare the decimals. Always start from the left!! 15.00 14.95 15.80 15.01 14.95, 15, 15.01, 15.8 One More Example : One More Example Order these numbers from greatest to least 35.06, 35.7, 35.5, 35.849

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