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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:

  8. Addition When adding same signs, we ___________, and when adding opposite signs, we ________________. ex:

  9. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex:

  10. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract

  11. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep common sign

  12. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of

  13. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of

  14. Addition add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of

  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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