Comparing and Ordering Decimals

1. Comparing and Ordering Decimals 6.3.1.1 Locate positive rational numbers on a number line and plot pairs of positive rational numbers on a coordinate plane. 6.3.1.2 Compare positive rational numbers represented in various forms. Use the symbols <, >, and =.

2. Ican… • Locate numbers on a number line • Compare and order decimals Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

3. 2 Methods Use a Number Line Line Up and Cross Off

4. Using a Number Line Picture a Metric Ruler or a Number Line to help you locate decimal numbers • Numbers further to the right are larger Numbers lines help us to compare decimals!

5. Let’s Try Using A Number Line Half pipe Results 42.0 42.1 42.5 Since 42.5 is to the right of 42.1 we have: 42.5 > 42.1

6. Line Up and Cross Off • First and foremost… You need to place numbers on top of one another making sure to line up the decimal point… • When comparing decimals, you have to look at the whole numbers. • If the whole numbers are the same, then look at the decimal in the tenths place. • Keep looking at the digits until you can identify which is the greatest or least.

7. Order from LEAST to GREATEST15, 14.95, 15.8, 15.01 Let’s Try… • First, line up the decimal points 15 14.95 15.8 15.01

8. Order from LEAST to GREATEST15, 14.95, 15.8, 15.01 • Next, use ghost zeros so that each number has the same number of decimal places 15.00 14.95 15.80 15.01

9. Order from LEAST to GREATEST15, 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

10. Order from LEAST to GREATEST15, 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 1st

11. Order from LEAST to GREATEST15, 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 1st

12. Order from LEAST to GREATEST15, 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 2nd 1st 4th 3rd

13. Ordering Decimals Practice Time! Order from least to greatest Answers Problems 1.134, 1.341, 1.103 1.103, 1.134, 1.341 14.072, 14.172, 14.07 14.07, 14.072, 14.172 3.963, 3.63, 3.93 3.63, 3.93, 3.963

14. < 0.550.8 Gallon Gallon 0.55 0.8

15. > 0.650.37 Gallon Gallon 0.65 0.37

16. = 0.90.90 Gallon Gallon 0.9 0.90

17. Comparing Decimals Practice Time! Order from least to greatest Answers Problems 13.5 ____ 13.52 < 10.513 _____ 10.509 >

18. Ican… • Locate numbers on a number line • Compare and order decimals Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

19. Daily Check 3.3 in your math notebook Compare using <, >, or = • 8.7 ___ 9 • 13.5 ___ 13.500 • 27 ___ 26.47 • 34.57 ___ 34.5 • 7.3529 ___ 7.3551 Order from least to greatest • 22.56, 22.55, 22.5, 22.555, 22.48