2. New Vocabulary VocabularyDefinitionUsing symbols inequalityA sentence that contains the symbols > (greater than) or < (less than) 58 > 54 2.1 < 2.3 Comparing and Ordering Decimals

3. Place value can help you understand and write and compare decimal numbers. Comparing and Ordering Decimals

5. Example: Earth Science Application The star Wolf 359 has an apparent magnitude of 13.5. Suppose another star has an apparent magnitude of 13.05. Which star has the smaller magnitude? 13.50 Line up the decimal points. Start from the left and compare the digits. 13.05 Look for the first place where the digits are different. 0 is less than 5. 13.05 < 13.50 The star that has an apparent magnitude of 13.05 has the smaller magnitude. Comparing and Ordering Decimals

6. Check It Out: Tina reported on a star for her science project that has a magnitude of 11.3. Maven reported on another star that has a magnitude of 11.03. Which star has the smaller magnitude? 11.30 11.03 0 tenths is less than 3 tenths, so 11.03 < 11.30. The star that has a magnitude of 11.03 has the smaller magnitude. Comparing and Ordering Decimals

7. Check It Out: Marci shipped two packages. One weighed 7.231 pounds and the other weighed 7.229 pounds. Which package weighed less? 7.231 7.229 2 hundredths is less than 3 hundredths, so 7.229 < 7.231. The package that weighed 7.229 pounds weighed less. Comparing and Ordering Decimals

8. Example: Comparing and Ordering Decimals Order the decimals from least to greatest. 16.67, 16.6, 16.07 16.67 16.60 Compare two of the numbers at a time. Write 16.6 as “16.60.” 16.60 < 16.67 16.67 16.07 Start at the left and compare the digits. 16.07 < 16.67 16.60 16.07 Look for the first place where the digits are different. 16.07 < 16.60 Comparing and Ordering Decimals

9. Example Continued Graph the numbers on a number line. 16.67 16.07 16.6 16 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17 The numbers are ordered when you read the number line from left to right. The numbers in order from least to greatest are 16.07, 16.6, and 16.67. Comparing and Ordering Decimals

10. Example: Comparing and Ordering Decimals Order the decimals from greatest to least. 0.08, 0.04, 0.1 0.08 0.04 Compare two of the numbers at a time. Start at the left and compare the digits. Write 0.1 as “0.10.” 0.08 > 0.04 0.08 0.10 0.10 > 0.08 Comparing and Ordering Decimals

11. Example Continued Graph the numbers on a number line. 0.10.040.08 0 0.02 0.04 0.06 0.08 0.10 The numbers from least to greatest are 0.04, 0.08, and 0.1. Comparing and Ordering Decimals

12. Check It Out Order the decimals 12.42, 12.4, 12.02 from least to greatest. 12.42, 12.4, 12.02 12.42 12.02 12.4 12 12.1 12.2 12.3 12.4 12.5 Comparing and Ordering Decimals

13. Check It Out Order the decimals 1.7, 2.05, 1.75 from greatest to least. 2.05, 1.75, 1.7 2.051.7 1.75 1.5 1.6 1.7 1.8 1.9 2.0 2.1 Comparing and Ordering Decimals