The document contains examples and practice problems for ordering fractions and decimals. It begins with examples of writing fractions as decimals. Later examples show how to compare and order decimals and real numbers from least to greatest using symbols like <, >, or =. Practice problems provide decimals and fractions to order from least to greatest. The document aims to teach skills for comparing, ordering, and relating rational numbers in decimal and fractional form.

1. Write the fraction as a decimal. Lesson 9.2 , For use with pages 475-480 1. 3 8 2. 3 11

2. Write the fraction as a decimal. Lesson 9.2 , For use with pages 475-480 ANSWER 0.375 1. 3 8 2. 3 11 ANSWER 0.27

4. Concept Definition Map Rational Numbers What is this? (Definition) Examples What is this like? Non-Examples

6. EXAMPLE 2 Comparing Real Numbers SOLUTION 1 2 Graph and on a number line. Then copy and complete the statement 1 2 1 2 1 2 ? with <, >, = or. Use a calculator to approximate the square root. Graph the decimal forms of the numbers on a number line and compare. Answer 1 2 Because is to the left of 1 2 1 2 >

7. GUIDED PRACTICE for Example 2 5. 4 ? 8 Copy and complete the statement with <, >, or = ANSWER 4 > 8 6. 5 4 ? 4 5 ANSWER 5 4 4 5 <

8. GUIDED PRACTICE for Example 2 5. 4 ? 8 Copy and complete the statement with <, >, or = 6. 5 4 ? 4 5

9. GUIDED PRACTICE for Example 2 Copy and complete the statement with <, >, or = 7. 1 4 ? 1 4 8. 7 3 ?

10. GUIDED PRACTICE for Example 2 Copy and complete the statement with <, >, or = 7. 1 4 ? 1 4 ANSWER 1 4 < 1 4 8. 7 3 ? ANSWER 7 3 <

11. EXAMPLE 3 Ordering Real Numbers Order the numbers 0.47 , 0.474 , 0.47 , and 0.23 from least to greatest. SOLUTION STEP 1 Write each decimal out to six decimal places. 0.47 = 0.47 44 74 . . . = 0.47 95 83 . . . 0.474 0.47 = 0.47 77 77 . . . 0.23 = 0.47 47 47 . . .

12. EXAMPLE 3 STEP 2 0.474474 . . ., 0.474747. . ., 0.477777. . ., 0.479583 . . . Ordering Real Numbers Write the decimals in order:

13. EXAMPLE 3 STEP 2 0.474474 . . ., 0.474747. . ., 0.477777. . ., 0.479583 . . . Ordering Real Numbers Write the decimals in order: ANSWER From least to greatest, the order is 0.474 , 0 . 47 , 0.47 , and 23 .

14. GUIDED PRACTICE for Example 3 STEP 1 Write each decimal out to four decimal places 1.7 10. Order the decimals 1.7, 1.7 , 1.89 , and 1.3 from least to greatest. = 1.7000 = 1.3038 1.89 1.8989 = 1. 3 = 1.3000 1.7

15. GUIDED PRACTICE for Example 3 STEP 2 Write each decimal in order 1.30………. 1.33………. 1.70………. 1.89……….

16. GUIDED PRACTICE for Example 3 STEP 2 Write each decimal in order 1.30………. 1.33………. 1.70………. 1.89………. ANSWER From least to greatest, the order is , 1.3 1.7 , 1.89 , 1.7