1 / 30

COMPETENCY #2 Laws of Exponents Scientific Notation

COMPETENCY #2 Laws of Exponents Scientific Notation. 5 x 5 =. 25. 5 2 =. 81. 3 4 =. 3 x 3 x 3 x 3 =. 343. 7 x 7 x 7 =. 7 3 =. 5 2 x 5 4. = 5 6. (5 x 5). (5 x 5 x 5 x 5). Do you see a pattern or shortcut?. 3 3 x 3 5. = 3 8. (3x3x3). (3x3x3x3x3).

warren-guerrero
Télécharger la présentation

COMPETENCY #2 Laws of Exponents Scientific Notation

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. COMPETENCY #2 Laws of Exponents Scientific Notation

  2. 5 x 5 = 25 52 = 81 34 = 3 x 3 x 3 x 3 = 343 7 x 7 x 7 = 73 =

  3. 52 x 54 = 56 (5 x 5) (5 x 5 x 5 x 5) Do you see a pattern or shortcut?

  4. 33 x 35 = 38 (3x3x3) (3x3x3x3x3) Do you see a pattern or shortcut?

  5. a3 x a5 = a8 (a x a x a) (a x a x a x a x a) Do you see a pattern or shortcut?

  6. Product of Powers Property • To multiply powers (exponents) with the same base, add their exponents. a³ x a²= a3 + 2 = a5

  7. 25 2 x 2 x 2 x 2 x 2 22 = = 23 2 x 2 x 2 1 Do you see a pattern or shortcut? 43 45 4 x 4 x 4 x 4 x 4 = = 42 4 x 4 1

  8. Quotient of Powers Property • To divide powers with the same base, subtract the exponent of the denominator from the exponent of the numerator. 68 = 68-5 =63 65

  9. REVIEW • When multiplying- add the exponents • When dividing- subtract the exponents.

  10. EXAMPLES b7 • b3 = b10 23 • 22 = 69 = 64 25 Z8 = z3 z5 65

  11. Zero Exponents • For any nonzero number a, a0 = 1 • Anything to the zero power equals 1 (except zero) 40 = 1000 = 1 1

  12. Negative Exponents • For any nonzero number a and any integer n, a-n = 1/an 5-2 = 1 52

  13. 1 3-5 = 3y-2 = 3 y2 35 1 5-2 = a-7b3 = b3 52 a7

  14. 5-8 + -3 = 5-11 5-8 x 5-3 = 1 or 511 a-2 + 10 = a8 a-2 x a10 =

  15. b-8 + 5 = b-3 b-8 x b5 = 1 or b3 3-4 + 11 = 37 3-4 x 311 =

  16. 35 1 35 - 8 3-3 = or = 38 33 a6 a8 a6 – (-2) = = a-2 m2 m2 – (-4) m6 = = m-4

  17. Scientific Notation • is a short hand way of writing numbers using powers of 10

  18. Standard Product Scientific Notation Form Notation 120,000,000 1.2 x 108 1.2 x 100,000,000

  19. Write in scientific notation. 4.62 x 109 46,200,000,000 = Where is the decimal now? Move the decimal to the right of the first significant digit.

  20. Write in scientific notation. 8.9 x 107 89,000,000 = Where is the decimal now? Move the decimal to the right of the first significant digit.

  21. Write in scientific notation. 3.04 x 1011 304,000,000,000 = Where is the decimal now? Move the decimal to the right of the first significant digit.

  22. Standard Product Scientific Notation Form Notation 0.00056 5.6 x 10-4 5.6 x 0.0001

  23. Write in scientific notation. 5.2 x 10-7 0.00000052 = # is less than 1 so exponent is negative Move the decimal to the right of the first significant digit.

  24. Write in scientific notation. 1.06 x 10-9 0.00000000106 = # is less than 1 so exponent is negative Move the decimal to the right of the first significant digit.

  25. Write in standard form. 3 2 0 0 0 0 0 0 3.2 x 107 = Count the # of spaces to move and fill in with zeros. Positive Exponents move the decimal to the right

  26. Write in standard form. 6 0 4 0 0 0 6.04 x 105= Count the # of spaces to move and fill in with zeros. Positive Exponents move the decimal to the right

  27. Write in standard form. 1.3 x 10-5= 0 0 0 0 1 3 Count the # of spaces to move left and fill in with zeros. Then add a decimal point Negative Exponents move the decimal to the left. # less than 1.

  28. Write in standard form. 2.07 x 10-4= 0 0 0 2 0 7 Count the # of spaces to move left and fill in with zeros. Then add a decimal point Negative Exponents move the decimal to the left. # less than 1.

  29. Write these in scientific notation. 4.1 x 103 4100 0.000067 6.7 x 10-5 62,000,000 6.2 x 107 0.000000003 3 x 10-9

  30. Write these in standard form. 3,040 3.04 x 103 7.2 x 105 720,000 5 x 10-3 0.005 3.8 x 10-6 0.0000038

More Related