1. Lesson 2-1 Real Numbers and Number Lines

2. Ohio Content Standards:

3. Apply properties of operations and the real number system, and justify when they hold for a set of numbers.

4. Whole Numbers

5. Includes zero and the Natural Numbers

6. Whole Numbers Includes zero and the Natural Numbers Natural Numbers are also called the Counting Numbers

7. Integers

8. Includes zero, the positive integers, and the negative integers

9. Rational Numbers

10. Any number that can be written as a fraction

11. Rational Numbers Any number that can be written as a fraction Terminating Decimals are rational

12. Rational Numbers Any number that can be written as a fraction Terminating Decimals are rational Repeating Decimals are rational

13. Irrational Numbers

14. Decimals that are nonterminating and do not repeat

15. Real Numbers

16. Include both rational and irrational numbers

17. Postulate 2-1 Number Line Postulate

18. Each real number corresponds to exactly one point on a number line. Each point on a number line corresponds to exactly one real number.

19. For each situation, write a real number with ten digits to the right of the decimal point.

20. A rational number between 6 and 8 with a 2-digit repeating patternA rational number between 6 and 8 with a 2-digit repeating pattern

21. For each situation, write a real number with ten digits to the right of the decimal point. A rational number between 6 and 8 with a 2-digit repeating patternA rational number between 6 and 8 with a 2-digit repeating pattern An irrational number greater than 5An irrational number greater than 5

22. Coordinate

23. Number that corresponds to a point on a number line

24. Origin

25. Has coordinate zero

26. Postulate 2-2 Distance Postulate

27. For any two points on a line and a given unit of measure, there is a unique positive real number called the measure of the distance between the points.

28. Postulate 2-3 Ruler Postulate

29. Points on a line are paired with the real numbers, and the measure of the distance between two points is the positive difference of the corresponding numbers.

30. Absolute Value

31. Number of units a number is from zero on the number line.

32. Absolute Value Number of units a number is from zero on the number line. Symbol : two vertical slashes

33. Use the number line to find CE. -3-20123 AGFEDCB

34. Erin traveled on I-85 from Durham, North Carolina, to Charlotte. The Durham entrance to I-85 that she used is at the 173-mile marker, and the Charlotte exit she used is at the 39-mile marker. How far did Erin travel on I-85?

35. Assignment: Pgs. 54 - 55 12-28 evens, 32-36 evens