1. Method 1 Compare – and –. COURSE 2 LESSON 3-10 1414 Since – is farther to the left on the number line, it is the lesser number. 3838 So, – > –. 1414 3838 3838 3-10 Rational Numbers

2. (continued) COURSE 2 LESSON 3-10 Method 2 – = 1414 –1 4 Rewrite – with a –1 in the numerator. 1414 The fraction – is equivalent to. 2828 = –2 8 2828 = – –2 8 Since – > –, then – > –. 2828 3838 1414 3838 The LCD is 8. Write an equivalent fraction.= –1  2 4  2 3-10 Rational Numbers

3. Compare. Use, or =. COURSE 2 LESSON 3-10 a. 8.7 and 8.1 b. –8.7 and 8.1 c. –8.7 and –8.1 8.7 > 8.1Both numbers are positive. Compare the digits. –8.7 < 8.1Any negative number is less than a positive number. –8.7 < –8.1 Place the decimals on a number line and compare their locations. 3-10 Rational Numbers

4. Order these numbers from least to greatest: COURSE 2 LESSON 3-10 –, 0.625,, –0.5 3535 2323 3535 – = –3 ÷ 5 = –0.6 Write as a decimal. Compare the decimals. –0.6 < –0.5 < 0.625 < 0.6 From least to greatest, the numbers are –, –0.5, 0.625,. 3535 2323 3-10 Write as a repeating decimal. 2323 = 2 ÷ 3 = 0.6 Rational Numbers

5. Compare. Use, or =. 1.– 2.– 3.3.4 –3.44.–8.9 –8.6 COURSE 2 LESSON 3-10 –– <> <> 3434 4747 1818 3838 3-10 Rational Numbers