1. 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 EXAMPLE 1 Comparing Metric Lengths 10.6 Gerbils

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 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? EXAMPLE 1 Comparing Metric Lengths 11 10.6 Gerbils

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

4. You can say: EXAMPLE 1 Comparing Metric Lengths  is less thanis greater than 10.6 11 or

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

6. EXAMPLE 2 Standardized Test Practice

7. EXAMPLE 2 Standardized Test Practice 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 SOLUTION

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

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 a.a. 5.796 5.802 Copy and complete the statement with or =. ?

12. EXAMPLE 3 Comparing Decimals. a.a. 5.796 5.802 5.796 5.802 Copy and complete the statement with or =. ?

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

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

15. EXAMPLE 3 Comparing Decimals 2.942.9 b.b. Copy and complete the statement with or =. ?

16. EXAMPLE 3 Comparing Decimals 4 2.942.9 b.b. 0 Copy and complete the statement with or =. ?

17. EXAMPLE 3 Comparing Decimals 4 2.942.9 b.b. 0 The ones’ and tenths’ digits are the same. Write a zero. The hundredths’ digits are different: 4 > 0 Copy and complete the statement with or =. ?

18. EXAMPLE 3 Comparing Decimals 4 2.942.9 b.b. 0 The ones’ and tenths’ digits are the same. Write a zero. The hundredths’ digits are different: 4 > 0 2.94 > 2.9 ANSWER Copy and complete the statement with or =. ?

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

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

21. EXAMPLE 4 The digits are the same through the tenth’s place. Compare hundredths and then thousandths if necessary: 77.025 0, 77.0 21 2,77.0 1 13,77.0 0 33 and SOLUTION Order the gerbils from heaviest to lightest. Ordering Decimals

22. EXAMPLE 4 The digits are the same through the tenth’s place. Compare hundredths and then thousandths if necessary: The gerbils, from heaviest to lightest, are Alexi, Donald, Edgar, and Herbie. ANSWER SOLUTION Order the gerbils from heaviest to lightest. Ordering Decimals 77.025 0, 77.0 21 2,77.0 1 13,77.0 0 33 and

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

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

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

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

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

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

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

30. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 4. Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, and 0. 6454 m. Copy and complete the statement with or =.

31. EXAMPLE 3 GUIDED PRACTICE for Examples 1, 2, 3, and 4 4. Order the lengths from longest to shortest: 0.6445 m, 0.6544 m, 0.6545 m, and 0. 6454 m. ANSWER 0.6545 m, 0.6544 m, 0.6454 m, 0.6445 m Copy and complete the statement with or =.