1 / 20

Understanding Exponents and Order of Operations in Mathematics

This comprehensive guide covers the fundamentals of exponents, including their notation, interpretation, and the role they play in mathematical expressions. Learn how to read exponents such as "three to the fourth power" and "three squared," and discover how to multiply out exponents step-by-step. The document also emphasizes the importance of the order of operations (PEMDAS) when handling complex calculations. Challenge yourself with practice problems to reinforce your understanding, and acquire essential skills for tackling math effectively.

juliana-ortiz
Download Presentation

Understanding Exponents and Order of Operations in Mathematics

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. BELL WORK! Answer35 • 1. 7(14 – 9) • 2. • 3. 175 ÷ Answer7 Answer35

  2. Order of Operations with exponents

  3. Location of Exponent • An exponent is a little number high and to the right of a base number. Exponent 3 4 Base

  4. What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

  5. How to read an Exponent • This exponent is read three to the fourth power. Exponent 3 4 Base

  6. How to read an Exponent • This exponent is read three to the 2nd power or three squared. Exponent 3 2 Base

  7. How to read an Exponent • This exponent is read three to the 3rd power or three cubed. Exponent 3 3 Base

  8. Read These Exponents 9 2 6 7 2 3 5 4

  9. What is the Exponent? 3 2 x 2 x 2 = 2

  10. What is the Exponent? 4 5 x 5 x 5 x 5 = 5

  11. How to Multiply Out an Exponent 4 3 = 3 x 3 x 3 x 3 9 27 81

  12. You Try: 3 5 125 =

  13. Let’s Try Some  Problems!

  14. PEMDAS 3 (9+1) + 62 3(10)+62 3(10)+36 30+36 66

  15. PEMDAS 3+23- (9+1) 3+23- 10 3+8-10 11-10 1

  16. PEMDAS 4+ 10 x 23 -16 4+10 x 8 -16 4+ 80 -16 84-16 68

  17. PEMDAS 21 + 102 10 21+10010 21 + 10 31

  18. PEMDAS 10+72-2 x 5 10+49–2 x 5 10+49- 10 59 - 10 49

  19. Challenge!!20 - 3 • 6 + 102 + (6 + 1) • 4 = 20 - 3 • 6 + 102 + (7) • 4 (parentheses) = 20 - 3 • 6 + 100 + (7) • 4 (exponents) = 20 - 18 + 100 + (7) • 4 (Multiply l/r.) = 20 - 18 + 100 + 28 (Multiply l/r.) = 2 + 100 + 28 (Subtract l/r.) = 102 + 28 (Add l/r.) =130 (Add.)

  20. Skills Check! When you finish turn your paper over and put it in the corner of your desk. Silent read, work on other homework or practice more problems. No talking. Practice: Blue Book Pages 20-21 #’s 1-23

More Related