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TOC pg. 2

Explore using Scientific Notation for representing large and small numbers, addition, subtraction, multiplication, division, and simplification. Learn the rules and techniques to work seamlessly with numbers in different formats.

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TOC pg. 2

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  1. TOC pg. 2

  2. Scientific Notation Used to represent very large and very small numbers. Always has a coefficient that is 1≤x<10 and multiplied by a power of 10. ONLY ONE number to the left of the decimal- canNOT be 0!

  3. Scientific Notation Exponent/ Power of 10 coefficient • Positive Exponent = Big Number • Change to standard form by moving decimal to the right • Negative Exponent = Small Number • Change to standard form by moving decimal to the left 4.6 x 104

  4. Scientific Notation Addition and Subtraction Multiplication Division

  5. Addition and Subtraction

  6. * Open Flap * On Top flap – write the following 1st Way: Change each to standard form Do the addition or subtraction Change back to Scientific Notation (4.2 * 103) + (1.2 * 102) 4200 + 120 4320 4.32 * 103

  7. * Open Flap * On bottom flap – write the following 2nd Way: Move decimal so that each has the same exponent Add or Subtract coefficients Leave exponent alone – check to make sure answer is in Scientific Notation (4.2 * 103) + (1.2 * 102) (4.2 * 103) + (.12 * 103) 4.2 + .12 * 103 4.32 * 103

  8. Multiplication

  9. * Open Flap * On Top flap – write the following MULTIPLY the coefficients ADD the exponents Check answer – Is it written in Scientific Notation?

  10. * Open Flap * On bottom flap – write the following (4.6 * 104)(3.5 * 102) (4.6)(3.5) * 104+2 16.1 * 106 Written in Scientific Notation? 16.1 * 106+1 1.61 * 107

  11. Division

  12. * Open Flap * On Top flap – write the following DIVIDE the coefficients SUBTRACT the exponents Check answer – Is it written in Scientific Notation?

  13. * Open Flap * On bottom flap – write the following (6.7 * 108) (2.1 * 102) 6.7 2.1 3.19 * 106 * 108-2 Written in Scientific Notation?

  14. Computation with Scientific Notation • Write the number in Scientific Notation • 3,050,000,000 2. 0.000082 • Write the number in Standard Form • 6.53 x 107 2. 9.2 x 10-4

  15. Simplify. Write each in Scientific Notation • (2.2 x 103) + (4.4 x 104) • (3.4 x 10-4) – (2.1 x 10-5)

  16. Simplify. Write each in Scientific Notation • (4.3 x 103)(3.21 x 10-3)

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