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5.4 Scientific Notation

5.4 Scientific Notation. By Raquel Lin (Note: “^” stands for the exponent). Scientific Notation. Writing numbers as the product of 10 and a number greater than or equal to 1 but less than 10. Use negative exponents for numbers in decimal. Example: 6.87 x 10^13 = 68,700,000,000,000

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5.4 Scientific Notation

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  1. 5.4 Scientific Notation By Raquel Lin (Note: “^” stands for the exponent)

  2. Scientific Notation • Writing numbers as the product of 10 and a number greater than or equal to 1 but less than 10. Use negative exponents for numbers in decimal. • Example: 6.87 x 10^13 = 68,700,000,000,000 • Example: 6.87 x 10^-13 = 0.0000000000000687

  3. Page 220 #37 • Divide. Express the result using scientific and standard notation. • (3.4 x 10^6)(6 x 10^3) (5 x 10^5)

  4. So how do we solve it? • (3.4 x 10^6)(6 x 10^3) (5 x 10^5) • Cancel the exponents for 10^6 and 10^5.

  5. So how do we solve it? • (3.4 x 10)(6 x 10^3) • 5 • Multiply (3.4 x 10) and (6 x 10^3) together.

  6. So how do we solve it? • 20.4 x 10^4 5 • Replace the numerator by the standard form.

  7. So how do we solve it? 20400 5 • Divide. = 4080 or 4.08 x 10^3

  8. Page 220 #38 • Divide. Express the result using scientific and standard notation. • (4.55 x 10^3)(2.6 x 10^5) • (2 x 10^-2)

  9. So how do we solve it? • (4.55 x 10^3)(2.6 x 10^5) • (2 x 10^-2) • Multiply (4.55 x 10^3) and (2.6 x 10^5) together.

  10. So how do we solve it? (1.183 x 10^9) (2 x 10^-2) Cancel the exponent for 10^9 and 10^-2.

  11. So how do we solve it? (1.183 x 10^9) • (2 x 10^-2)

  12. So how do we solve it? (1.183 x 10^11) 2 Write the numerator in standard form.

  13. So how do we solve it? 118300000000 2 = 5,915,000,000 or 5.915 x 10^9

  14. Page 220 #39 • Divide. Express the result using scientific and standard notation. • (5.2 x 10^-4)(6 x 10^3) • (2.5 x 10^9)

  15. So how do we solve it? • (5.2 x 10^-4)(6 x 10^3) • (2.5 x 10^9) • Multiply (5.2 x 10^-4) and (6 x 10^3) together.

  16. So how do we solve it? • 3.12 • (2.5 x 10^9) • Put the denominator in standard form.

  17. So how do we solve it? • 3.12 • 2500000000 • Divide.

  18. So how do we solve it? = 0.000000001248 or 1.248 x 10^-9

  19. Scientific Notation Song :D

  20. Thank you for listening! By Raquel Lin Section 5.4 Scientific Notation

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