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EXAMPLE 1

EXAMPLE 1. Comparing Metric Lengths. Gerbils. A Mongolian gerbil’s tail is about the same length as its body. A gerbil has a body length of centimeters and a tail length of centimeters. Which is longer, the body or the tail?. 11. 10.6.

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EXAMPLE 1

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  1. EXAMPLE 1 Comparing Metric Lengths Gerbils A Mongolian gerbil’s tail is about the same length as its body. A gerbil has a body length of centimeters and a tail length of centimeters. Which is longer, the body or the tail? 11 10.6

  2. To answer the question above, picture the metric ruler below. The tail length, centimeters, is to the left of the body length, 11 centimeters. 10.6 EXAMPLE 1 Comparing Metric Lengths Gerbils A Mongolian gerbil’s tail is about the same length as its body. A gerbil has a body length of centimeters and a tail length of centimeters. Which is longer, the body or the tail? 11 10.6

  3. EXAMPLE 1 Comparing Metric Lengths You can say: or < 10.6 11 is less than

  4. EXAMPLE 1 Comparing Metric Lengths You can say: or < > 10.6 11 11 10.6 is less than is greater than

  5. EXAMPLE 1 Comparing Metric Lengths You can say: or < > 10.6 11 11 10.6 is less than is greater than ANSWER The gerbil’s body is longer than its tail.

  6. EXAMPLE 2 Standardized Test Practice

  7. EXAMPLE 2 Standardized Test Practice SOLUTION Graph each number on a number line. Begin by marking tenths from to .Then mark hundredths by dividing each tenth into ten sections. 3.0 3.3

  8. EXAMPLE 2 Standardized Test Practice SOLUTION Graph each number on a number line. Begin by marking tenths from to .Then mark hundredths by dividing each tenth into ten sections. 3.0 3.3

  9. EXAMPLE 2 Standardized Test Practice ANSWER An ordered list of the numbers is 3, 3.06, 3.1, 3.15, and 3.28. The answer is B.

  10. EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =.

  11. EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. ? • . 5.802 5.796

  12. EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. . ? • . 5.802 5.796 5. 7 96 5. 8 02

  13. EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. . ? • . 5.802 5.796 The ones’ digits are the same. 5. 7 96 5. 8 02 The tenths’ digits are different: 7 < 8

  14. EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. . ? • . 5.802 5.796 The ones’ digits are the same. 5. 7 96 5. 8 02 The tenths’ digits are different: 7 < 8 ANSWER 5.796 < 5.802

  15. 2.94 2.9 EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. ? • .

  16. 2.94 2.9 EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. ? • . 2.9 4 2.9 0

  17. 2.94 2.9 EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. ? • . The ones’ and tenths’ digits are the same. 2.9 4 2.9 0 Write a zero. The hundredths’ digits are different: 4 > 0

  18. 2.94 2.9 EXAMPLE 3 Comparing Decimals Copy and complete the statement with <, > or =. ? • . The ones’ and tenths’ digits are the same. 2.9 4 2.9 0 Write a zero. The hundredths’ digits are different: 4 > 0 ANSWER 2.94 > 2.9

  19. EXAMPLE 4 Ordering Decimals Order the gerbils from heaviest to lightest.

  20. EXAMPLE 4 Ordering Decimals Order the gerbils from heaviest to lightest. SOLUTION The digits are the same through the tenth’s place. Compare hundredths and then thousandthsif necessary:

  21. EXAMPLE 4 Ordering Decimals Order the gerbils from heaviest to lightest. SOLUTION The digits are the same through the tenth’s place. Compare hundredths and then thousandthsif necessary: and 77.0 2, 77.0 13, 77.0 33 0, 2 1 1 0 77.0 2 5

  22. EXAMPLE 4 Ordering Decimals Order the gerbils from heaviest to lightest. SOLUTION The digits are the same through the tenth’s place. Compare hundredths and then thousandthsif necessary: and 77.0 2, 77.0 13, 77.0 33 0, 2 1 1 0 77.0 2 5 ANSWER The gerbils, from heaviest to lightest, are Alexi, Donald, Edgar, and Herbie.

  23. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =.

  24. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =. ? 1. 7.54 7.45

  25. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =. ? 1. 7.54 7.45 ANSWER 7.54 > 7.45

  26. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =. ? 2. 8.5 8.50

  27. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =. ? 2. 8.5 8.50 ANSWER 8.5 = 8.50

  28. 0.409 ? 0.411 3. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =.

  29. 0.409 ? 0.411 3. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Copy and complete the statement with <, > or =. ANSWER 0.409 < 0.411

  30. 4. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, Copy and complete the statement with <, > or =. and 0.6454 m.

  31. 4. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, Copy and complete the statement with <, > or =. and 0.6454 m. ANSWER 0.6545 m, 0.6544 m, 0.6454 m, 0.6445 m

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