1 / 111

Math 71A

Math 71A. 1.1 – Algebraic Expressions and Real Numbers 1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions. Order of Operations 1. Parentheses (in general, grouping symbols: , , , , ) 2. Exponents (and roots and absolute values)

rosier
Download Presentation

Math 71A

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Math 71A 1.1 – Algebraic Expressions and Real Numbers 1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions

  2. Order of Operations • 1. Parentheses(in general, grouping symbols: , , , , ) • 2. Exponents(and roots and absolute values) • 3. Multiplication/division(from left to right) • 4. Addition/subtraction(from left to right)

  3. ex:

  4. ex: Evaluate for .

  5. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex:

  6. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable

  7. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable

  8. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable constant

  9. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable constant # of months in a year

  10. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable constant # of months in a year

  11. A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: variable constant # of months in a year

  12. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex:

  13. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression

  14. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression , ,

  15. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression , , equation

  16. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression , , equation

  17. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression , , equation

  18. The combination of variables, constants, numbers, , , , , powers, roots, etc. is called an _____________________________. • ex: • Two algebraic expressions with an equal sign in between is called an ________________________. • ex: algebraic expression , , equation

  19. Absolute Value The absolute value bars make the number inside positive. ex:

  20. Absolute Value The absolute value bars make the number inside positive. ex:

  21. Absolute Value The absolute value bars make the number inside positive. ex:

  22. Absolute Value The absolute value bars make the number inside positive. ex:

  23. Absolute Value The absolute value bars make the number inside positive. ex:

  24. Addition When adding same signs, we ___________, and when adding opposite signs, we ____________. ex:

  25. Addition When adding same signs, we ___________, and when adding opposite signs, we ____________. ex: add

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

  27. Addition When adding same signs, we ___________, and when adding opposite signs, we ____________. ex: add subtract Keep same sign

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

  29. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if .

  30. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

  31. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

  32. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

  33. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

  34. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

  35. Addition Properties 1. 2. Note: and are called ___________________. ex: The additive inverse of is __________. ex: The additive inverse of is ___________. ex: Find if . additive inverses

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

More Related