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Comparing and Ordering Decimals When Will I Ever Do That???!!!
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McDonald’s Menu…. I’m Lovin It!! Double Cheeseburger: $.99 Double Cheeseburger: $.99 Big Mac Value Meal: $ 4.79 Big Mac Value Meal: $ 4.79 Chicken McNuggetts Meal: $ 3.80 Chicken McNuggetts Meal: $ 3.80 Small Drink: $.99 Small Drink: $.99 McFlurry: $ 1.97 McFlurry: $ 1.97 Salad: $ 4.80 Salad: $ 4.80 2 Cheeseburger Meal: $ 3.70 2 Cheeseburger Meal: $ 3.70 Ice Cream Cone: $.87 Ice Cream Cone: $.87
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What Do I Mean Compare Decimals? When we compare we use terms such as: When we compare we use terms such as: Less than < Less than < Greater than > Greater than > Equal to = Equal to = When we compare decimals we use place value. When we compare decimals we use place value.
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Compare Sara’s score with Danny’s score. Compare Sara’s score with Danny’s score. 1. Line Up Decimal Points Sara: 42.1 Danny: 42.5 2. 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. Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob46.1 Half pipe Results
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Adding Zeros This means placing a zero to the right of the last digit in a decimal. This means placing a zero to the right of the last digit in a decimal. 0.6 0.60 0.6 0.60 Although we added a zero, the value of the decimal did not change!! Although we added a zero, the value of the decimal did not change!! Adding zeros is useful when ordering a group of decimals. Adding zeros is useful when ordering a group of decimals.
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Let’s Compare Some Decimals 5.32 and 5.21 5.32 and 5.21 1. Line up the decimals 5.32 5.21 2. Start on the left and compare the numbers 5=5 3>2 so 5.32 >5.21
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Let’s Compare Some Decimals 65.2 and 6.52 65.2 and 6.52 1. Line up the decimals 65.2 6.52 2. Add an zero so both go to the hundredths place. 65.20 6.52 3. Compare the two numbers 65.20 > 6.52
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Try on Your Own 2.64 and 2.8 2.64 and 2.8 89.2 and 89.4 89.2 and 89.4 4.23 and 6.23 4.23 and 6.23 13.5 and 13.24 13.5 and 13.24
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Try on Your Own 2.64 and 2.8 2.64 and 2.8 89.2 and 89.4 89.2 and 89.4 4.23 and 6.23 4.23 and 6.23 13.5 and 13.24 13.5 and 13.24 2.64 2.80 2.64 < 2.8 89.2 89.4 89.2 < 89.4 4.23 6.23 4.23 < 6.23 13.50 13.24 13.5 > 13.24
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Ordering Decimals We can order decimals from least to greatest or we can order from greatest to least. We can order decimals from least to greatest or we can order from greatest to least. Let’s try an example: Let’s try an example: Order 15, 14.95, 15.8, and 15.01 from least to greatest Order 15, 14.95, 15.8, and 15.01 from least to greatest
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First, line up the decimal points First, line up the decimal points 15 15 14.95 14.95 15.8 15.8 15.01 15.01 15, 14.95, 15.8, 15.01
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Next, annex zeros so that each number has the same number of decimal places Next, annex zeros so that each number has the same number of decimal places 15.00 15.00 14.95 14.95 15.80 15.80 15.01 15.01
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15, 14.95, 15.8, 15.01 Finally, use place value to compare the decimals. Always start from the left!! Finally, use place value to compare the decimals. Always start from the left!! 15.00 15.00 14.95 14.95 15.80 15.80 15.01 15.01 14.95, 15, 15.01, 15.8 14.95, 15, 15.01, 15.8
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One More Example Order these numbers from greatest to least Order these numbers from greatest to least 35.06, 35.7, 35.5, 35.849 35.06, 35.7, 35.5, 35.849
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