2. Comparing and Ordering Decimals When Will I Ever Do That???!!!

3. Bellringer Look at the following number. 881,147,206 a. Write the number in words. Eight hundred eighty-one million, one hundred forty- seven thousand, two hundred six b. In what place is the 4 located? Ten thousands place c. What would have to be subtracted to change the number to 801,147,206? 80,000,000 or eighty million

4. Vocabulary Place Vocabulary Terms Here

5. Using Models If you are comparing tenths to hundredths, you can use a tenths grid and a hundredths grid. Here, you can see that 0.4 is greater than 0.36. If you are comparing tenths to hundredths, you can use a tenths grid and a hundredths grid. Here, you can see that 0.4 is greater than 0.36.

6. Using a Number Line Determine the highest and lowest number, and then draw tenths. If hundredths are necessary, draw those. Example: Put the following numbers in order on the number line: 1.4; 1.65; 1.58; 1.84; 1.8 In this example, the number line must be between 1.4 and 1.84.

7. First, fill in the tenths. 1.51.61.7 Then, fill in the hundredths. Place the decimals on the line. 1.4 1.651.581.841.8 Now the decimals are in order.

8. The Easy Way Line up the numbers vertically by the decimal point. Add “0” to fill in any missing spaces. Compare from left to right.

9. Put these numbers in order: 12.5; 12.24; 11.96; 12.36 12. 5 12. 24 11. 96 12. 36 Fill in the missing space with a zero. 11.96 < 12.24 < 12.36 < 12.5 0

10. 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

11. Order Up! Least Expensive to Most Expensive Ice Cream Cone.87 Ice Cream Cone.87 Double Cheeseburger:.99 Double Cheeseburger:.99 Small Soft Drink:.99 Small Soft Drink:.99 McFlurry: 1.97 McFlurry: 1.97 2 Cheeseburger Meal: 3.70 2 Cheeseburger Meal: 3.70 Chicken McNuggetts Meal: 3.80 Chicken McNuggetts Meal: 3.80 Big Mac Value Meal: 4.79 Big Mac Value Meal: 4.79 Chicken Salad: 4.80 Chicken Salad: 4.80

12. 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 = Comparing decimals is similar to comparing whole numbers. Comparing decimals is similar to comparing whole numbers. 45<47 45<47 150>105 150>105 When we compare decimals we use place value or a number line. When we compare decimals we use place value or a number line.

13. 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

14. Let’s Try Using A Number Line Sara42.1 Danny42.5 Ross42.0 Bethany40.7 Jacob46.1 42.042.142.5 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

15. Equivalent Decimals Decimals that name the same number are called equivalent decimals. Decimals that name the same number are called equivalent decimals. 0.60 and 0.6 0.60 and 0.6 Are these the same??? Are these the same???

16. 0.600.6 =

17. Annexing 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!! Annexing or adding zeros is useful when ordering a group of decimals. Annexing or adding zeros is useful when ordering a group of decimals.

18. 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

19. 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

20. 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

21. 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

22. 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