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# Math 71

Math 71. 1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions. Absolute Value. There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex : 2. ex: . Absolute Value.

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## Math 71

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1. Math 71 1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions

2. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

3. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

4. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

5. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

6. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

7. Absolute Value There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:

15. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if .

16. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses

17. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses

18. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses

19. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses

20. Addition Properties 1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses

21. Subtracting We can define subtraction in terms of addition: ex:

22. Subtracting We can define subtraction in terms of addition: ex:

23. Subtracting We can define subtraction in terms of addition: ex:

24. Subtracting We can define subtraction in terms of addition: ex:

25. Subtracting We can define subtraction in terms of addition: ex:

26. Subtracting We can define subtraction in terms of addition: ex:

27. Subtracting We can define subtraction in terms of addition: ex:

28. Subtracting We can define subtraction in terms of addition: ex:

29. Subtracting We can define subtraction in terms of addition: ex:

30. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex:

31. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same

32. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive

33. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite

34. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

35. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

36. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

37. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

38. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

39. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

40. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

41. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

42. Multiplying When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative

43. Multiplication Properties 1. ex: 2. ex:

44. Multiplication Properties 1. ex: 2. ex:

45. Multiplication Properties 1. ex: 2. ex:

46. Multiplication Properties 1. ex: 2. ex:

47. Multiplication Properties 1. ex: 2. ex:

48. Dividing We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex:

49. Dividing We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex: reciprocals

50. Dividing We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex: reciprocals multiplicative inverses

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