1. Comparing Rational Numbers Inequalities

2. We compare numbers based on where they are on the number line. If a number is to the left or below another number, it is less than the other number. We can think of this as -3 is less than 1. In math, we write this as -3 < 1 This is called an inequality.

3. We compare numbers based on where they are on the number line. If a number is to the right or above another number, it is greater than the other number. We can think of this as 1 is greater than -3. In math, we write this as 1 > -3 This is called an inequality.

4. To Compare Numbers… We can think of the numbers on the number line. The further left or down on a number line we go, the _______ a number is. The further right or up on a number line we go, the _______ a number is. Inequalities compare the values of numbers

5. RECAP! < means less than > means greater than

6. Lets Try Comparing Numbers Which is greater, 6 or 2? Which is greater, -5 or -1? Which is greater, -8 or -9? Which is greater 0 or -1/2?

7. Which is less? Write the inequality 1.3 or -7? 2.8 or 23? 3.¼ or 1/8? 4..75 or.9?

8. We can write these as inequalities. StatementInequality 6 is greater than 2 -1 is greater than -5 -9 is less than -8 -1/2 is less than 0

9. Compare these numbers by writing an inequality for each 1.4 and.25 2.-12 and -120 3.-.05 and -.2 4.-7 and -6.95 5.-5 and -5.2

10. Sixteen degrees Celsius is warmer than zero degrees Celsius. Three and one-half yards of fabric is less than five and one-half yards of fabric. A loss of $500 in the stock market is worse than a gain of $200 in the stock market. Seven feet below sea level is farther below sea level than 4 ½ feet below sea level. A test score of 64 is worse than a test score of 65, and a test score of 65 is worse than a test score of 67 ½. In December the total snowfall was 13.2 inches, which is more than the total snowfall in October and November, which was 3.7 inches and 6.15 inches; respectively.

11. Compare these numbers -1, 1, 0 ____ < ____ < ____

12. Compare these numbers -5, 2, 4 ____ < ____ < ____

13. Compare these numbers -1.5, 3, -2.6 ____ > ____ > ____

14. Compare these numbers -6_1/2, -3_1/4, -9.5 ____ > ____ > ____

15. Compare these numbers -1.5, -1_1/4, -1.75 ____ < ____ < ____

16. Compare these numbers -1/8, 1_1/8, 1/8 ____ > ____ > ____