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Operations of Scientific Notation: Add Subtract

adding and subtracting in scientific notation

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Operations of Scientific Notation: Add Subtract

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  1. Monday

  2. Name- _____________________________________ Warm-Up Directions: Complete the problems using scientific notation or standard notation

  3. 4.0x102

  4. 4.0x102 2.06x105

  5. 4.0x102 2.06x105 8.53x10-6

  6. 4.0x102 2.06x105 8.53x10-6 4.583x106

  7. 4.0x102 2.06x105 8.53x10-6 4.583x106 2.57x10-2

  8. 4.0x102 480,000 2.06x105 8.53x10-6 4.583x106 2.57x10-2

  9. 4.0x102 480,000 2.06x105 670,000,000 8.53x10-6 4.583x106 2.57x10-2

  10. 4.0x102 480,000 2.06x105 670,000,000 8.53x10-6 27.3 4.583x106 2.57x10-2

  11. 4.0x102 480,000 2.06x105 670,000,000 8.53x10-6 27.3 4.583x106 0.0923647 2.57x10-2

  12. 4.0x102 480,000 2.06x105 670,000,000 8.53x10-6 27.3 4.583x106 0.0923647 0.000000000005 2.57x10-2

  13. Click here to watch video

  14. Scientific Notation

  15. Scientific Notation

  16. Scientific Notation

  17. Scientific Notation

  18. Scientific Notation

  19. Scientific Notation

  20. Scientific Notation

  21. Click here to watch video. (4:17)

  22. Notes: Adding and Subtracting in Scientific Notation Is your final answer in Scientific Notation? Is your final answer in Scientific Notation? Yes No Change to scientific notation: _ . _____ x 10 Yes No Change to scientific notation: _ . _____ x 10 (2.1 x 103) + (4.4 x 103) (8.0 x 105) - (7.6 x 105)

  23. Adding & Subtracting with Scientific Notation

  24. Checklist for Adding and Subtracting in Scientific notation Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation.

  25. Checklist for Adding and Subtracting in Scientific notation Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation. Step 2: If not, put into standard form.

  26. Checklist for Adding and Subtracting in Scientific notation Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation. Step 2: If not, put into standard form. Step 3: Add or subtract the numbers.

  27. Checklist for Adding and Subtracting in Scientific notation Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation. Step 2: If not, put into standard form. Step 3: Add or subtract the numbers. Step 4: Rewrite into scientific notation.

  28. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105)

  29. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation.

  30. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) Step 1: Always check to see if the exponents are the same when adding and subtracting in scientific notation.

  31. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) Step 2: If not, put into standard form. *Remember, if it is a large number or small number what direction you move the decimal point.

  32. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) • Positive exponent, big number. Move the decimal to the right. • Negative exponent, small number. Move the decimal to the left.

  33. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) 3.5 x 104 = 3.5000 Move the decimal 4 units to the right (big number) 35,000

  34. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) 3.1 x 105 = 3.10000 Move the decimal 5 units to the right (big number) 310,000

  35. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) 35,000 + 310,000 = 345,000 310,000 +35,000 345,000 Step 3: Add or subtract the numbers.

  36. Notes: Adding and Subtracting in Scientific notation (3.5 x 104) + (3.1 x 105) 35,000 + 310,000 = 345,000 310,000 +35,000 345,000 Step 4: Rewrite into scientific notation. Pattern: _ x 10

  37. Number of waves you do. • Big = positive • Small = negative Pattern: One number only(1-9) Pattern: x 10 The rest of the numbers.

  38. Step 4: Move into Scientific Notation. Pattern: _ x 10 345,000 Move the decimal 5 units to the left (big number)

  39. Step 4: Move into Scientific Notation. Pattern: _ x 10 345,000 3.45 x 105

  40. Step 4: Move into Scientific Notation. Pattern: _ x 10 345,000 3.45 x 105 Final Answer

  41. Notes: Adding and Subtracting in Scientific Notation Is your final answer in scientific notation? Yes No Then make it in scientific notation. _ . _____ x 10 (8. x 103) + (6.45 x 104)

  42. Notes: Adding and Subtracting in Scientific Notation Is your final answer in scientific notation? Yes No Then make it in scientific notation. _ . _____ x 10 (8. x 103) + (6.45 x 104) 8000 + 64500 = 72500 7.25 x 104

  43. Notes: Adding and Subtracting in Scientific Notation Is your final answer in scientific notation? Yes No Then make it in scientific notation. _ . _____ x 10 (9.5 x 105) + (5.0 x 104) 950,000 + 50,000 = 1000,000 1.0 x 106

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