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Compare and Order Decimals

Compare and Order Decimals. 7 th Grade Math August 28, 2013 Ms. DeFreese. How do you know whether to start with the largest number of the smallest number?. Pick the smallest first. Ascending Increasing Least to greatest. Pick the largest first. Descending Decreasing Greatest to least.

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Compare and Order Decimals

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  1. Compare and Order Decimals 7th Grade Math August 28, 2013 Ms. DeFreese

  2. How do you know whether to start with the largest number of the smallest number?

  3. Pick the smallest first • Ascending • Increasing • Least to greatest

  4. Pick the largest first • Descending • Decreasing • Greatest to least

  5. Ordering decimals can be tricky. Because often we look at 0.42 and 0.402 and say that 0.402 must be bigger because there are more digits. But no!

  6. If you follow the following method you will see which decimals are bigger. • Set up a table with the decimal point in the same place for each number. • Put in each number. • Fill in the empty squares with zeros. • Compare using the first column on the left • If the digits are equal move to the next column to the right until one number wins.

  7. Example: Put the following decimals in ascending order:1.506, 1.56, 0.8

  8. Compare using the first column (Units) Two of them are "1"s and the other is a "0". Ascending order needs smallest first, and so "0" is the winner: Answer so far: 0.8

  9. Compare the Tenths: Now there are two numbers with the same "Tenths" value of 5, so move along to the "Hundredths" for the tie-breaker Compare the Hundredths One of those has a 6 in the hundredths, and the other has a 0, so the 6 wins. So 1.506 is less than 1.56: Answer so far: 0.8, 1.506

  10. Answer: 0.8, 1.506, 1.56

  11. Example: Put the following decimals in DESCENDING order:0.402, 0.42, 0.375, 1.2, 0.85

  12. Compare using the first column (Units): There is a 1, all the rest are 0. Descending order needs largest first, so 1.2 must be the highest. (Write it down in your answer and cross it off the table). Answer so far: 1.2

  13. The 8 is highest, so 0.85 is next in value. Answer so far: 1.2, 0.85

  14. Now there are two numbers with the same "Tenths" value of 4, so move along to the "Hundredths" for the tie-breaker One number has a 2 in the hundredths, and the other has a 0, so the 2 wins. So Answer so far: 1.2, 0.85, 0.42, 0.402

  15. Example: Put the following decimals in ascending order:1.506, 1.56, 0.8Make and us a table…

  16. Fill in the empty squares with zeros: Compare using the first column (Units) Two of them are "1"s and the other is a "0". Ascending order needs smallest first, and so "0" is the winner: Answer so far: 0.8

  17. Now we can remove 0.8 from the list: Compare the Tenths Now there are two numbers with the same "Tenths" value of 5, so move along to the "Hundredths" for the tie-breaker.

  18. Compare the Hundredths One of those has a 6 in the hundredths, and the other has a 0, so the 6 wins. So 1.506 is less than 1.56: Answer so far: 0.8, 1.506 Remove 0.506 from the list: Only one number left, it must be the largest: Answer: 0.8, 1.506, 1.56

  19. Which of the following decimal numbers is the greatest? 0.206, 2.06, 0.026, 0.26

  20. Which of the following decimal numbers is the least?1.305, 1.35, 1.053, 1.5

  21. Order the following decimals, highest to lowest: 0.503, 0.53, 0.357, 1.57, 0.73

  22. Order the following decimals, lowest to highest: 13.41, 10.395, 13.14, 3.416, 11.89

  23. http://www.mathsisfun.com/ordering_decimals.html

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