1. Graph and on a number line. Then copy and complete the statement with, or. 2 1 2 Example 2 Comparing Real Numbers 1 ? = 2 1 2 1 SOLUTION Use a calculator to approximate the square root. Graph the decimal forms of the numbers on a number line and compare.

2. Example 2 Comparing Real Numbers ANSWER Because is to the right of, 2 1 2 1 >. 2 1 2 1

3. Example 3 Ordering Real Numbers Order the numbers 0.47, 0.474, 0.47, and from least to greatest. 0.23 0.474 = 0.474474… 0.47 = 0.474747… SOLUTION STEP 1 Write each decimal out to six decimal places. 0.47 = 0.477777… = 0.479583…0.23

4. Example 3 Ordering Real Numbers STEP 2 Write the decimals in order. 0.474474..., 0.474747..., 0.477777..., and 0.479583... 0.23 ANSWER From least to greatest, the order is 0.474, 0.47, 0.47, and.

5. Guided Practice Copy and complete the statement with, or. for Examples 2 and 3 = ? 5. 4 8 ANSWER > < < ? 7. 4 1 4 1 ANSWER < ? 8. 37 ? 6. 5 4 5 4

6. Guided Practice for Examples 2 and 3 Order the numbers from least to greatest. 0.525, and 0.525,9. 0.52, 0.276 0. 1.7,, 1.3 1.89, and 1.7 1 ANSWER 0.52,, 0.525, 0.276 0.525 1.3, ANSWER 1.7, 1.89

7. Guided Practice Order the numbers from least to greatest. for Examples 2 and 3 1. 1,,, and 10 1 100 1 101 1 ANSWER,, 1, 10 1 100 1 101 2., 1.71,,1 3 2 3 2 3,, 1.71, ANSWER 3 2 3 2 3