1 / 14

Exponents and Order of Operations

Exponents and Order of Operations. Exponents. Exponent: how many times to multiply the base by itself 14⁴ 14 is the base 4 is the exponent (14)(14)(14)(14) = 14⁴. 2⁵ = (2)(2)(2)(2)(2) = 32 ( ⅜ ) ² = (⅜)(⅜) = 9/64. 4⁴ = _________ 5 ² = ______ (¾)² = ________ (10)³ = __________.

foy
Download Presentation

Exponents and Order of Operations

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. Exponents and Order of Operations

  2. Exponents • Exponent: how many times to multiply the base by itself 14⁴ 14 is the base 4 is the exponent (14)(14)(14)(14) = 14⁴ 2⁵ = (2)(2)(2)(2)(2) = 32 (⅜)² = (⅜)(⅜) = 9/64

  3. 4⁴ = _________ 5² = ______ (¾)² = ________ (10)³ = __________ (4)(4)(4)(4) = 256 (5)(5) = 25 (¾) (¾) = 9/16 (10)(10)(10) = 1000

  4. Solve the following problem below: 16 – 7 + 108 ÷ 6(3)² Think about things in your life that you must use a particular order.

  5. Order of Operations • To solve problems with numerous operations we must use an order. • Parentheses • Exponents • Multiplication • Division • Addition • Subtraction Multiplication/Division and Addition/Subtraction have an exception! - You must perform the operations from left to right

  6. Example: (5+3) ÷ 2 + (5² - 3) (5+3) ÷ 2 + (25 -3) 8 ÷ 2 + 22 4 + 22 26 Example: 18 – 7 + 9 – 10 + 4 11 + 9 – 10 + 4 20 – 10 + 4 10 + 4 14

  7. 8² - 4 72 64 – 4 72 60 72 5 6 12 + 3[18-5(16-13)] 12 + 3[18-5(3)] 12 + 3[18 – 15] 12 + 3[3] 12 + 9 21

  8. 8 ÷ (9-7) + (14 ÷2)² 8 ÷ 2 + 7² 8 ÷ 2 + 49 4 + 49 53 3 + | 7-4 | + 3² 8-5 3 + | 3 | + 3² 8-5 3 + 3 + 3² 8 – 5 3 + 3 + 9 8-5 15 3 5

  9. Evaluating Expressions and Equations Algebraic Expression a collection of numbers, variables, operation symbols, and grouping symbols Example: 4 6x⁹(8yt) 5x + 9 Expressions do not have equal signs Equation a mathematical statement that two expressions have equal value Example: 5 + p = 10 21 – 4 = 17 I = PRT Equations have equal signs

  10. Evaluating Algebraic Expressions • Substitute the given values for the variables assigned to it Example: x = 4, y = 9, z = 10 5x + y - z 5(4) + 9 – 10 20 + 9 – 10 = 29 – 10 = 19 Evaluate the expression when x = 1 and y = 4 1). 2y – x 2). X + 5 Y Y 3). y² - x² 1). 7 2). 3/2 3). 15

  11. Solution of an Equation • Substitute the given value for the variable • Check to see if both expressions are equal • If they are then the given value is a solution Example: Is x = 4 a solution for 12x – 6 = 18 12(4) – 6 = 18 48 – 6 = 18 42 – 18 No x =4 is not a solution Determine if the given number is a solution when x = 3 1). X² - 8 = 4 – x (3)² - 8 = 4 -3 9 – 8 = 4 -3 1 = 1 yes

  12. Group Work • In your small groups, think of how many words mean these mathematical terms • Addition • Subtraction • Multiplication • Division • Equality

  13. Translating Expressions and Equations • On p. 28 there are a list of words • Example: The product of a number a five (x)5 = 5x Always let a variable represent an unknown number. • a number added to seven • Twice a number, plus one • Twice a number, decreased by 1 is 99. Answers: 1). B + 7 2). 2h + 1 3). 2x – 1 = 00

  14. Pay Close Attention How do you translate 5 subtracted from 6 ? 6 -5 Whenever you see “subtracted from”, the second number comes first. How do you translate “ten less than a number”? X – 10 “Number less 10” X – 10

More Related