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The table shows the planets and their distances from the SUN. (in km)

The table shows the planets and their distances from the SUN. (in km). What could be a problem when trying to write out the distances of the planets from the sun?. THINK PAIR SHARE. Sometimes when numbers are very large or very small it can be difficult to keep track of the place value.

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The table shows the planets and their distances from the SUN. (in km)

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  1. The table shows the planets and their distances from the SUN. (in km)

  2. What could be a problem when trying to write out the distances of the planets from the sun? • THINK • PAIR • SHARE

  3. Sometimes when numbers are very large or very small it can be difficult to keep track of the place value. • Therefore, we use SCIENTIFIC NOTATION • Let’s practice writing the distances from the planet to the Sun in scientific notation!

  4. I will do the first planet: Mercury The distance is 58,000,000 In scientific notation this would be: 5.8 x 10 7 How did I do that? Can you come up with a rule for writing numbers in scientific notation?

  5. To write a number in scientific notation: • 1. Count the number of spaces to move the decimal so that there is one number in front of it. 58,000,000. 5.8,000,000 • DROP ALL OF THE ZEROS! 5.8 • Multiply by a power of 10. (the exponent is the same number of SPACES you moved the decimal) 5.8 x 10 7

  6. The table shows the planets and their distances from the SUN. (in km)

  7. The table shows the planets and their distances from the SUN. (in km)

  8. SOMETIMES NUMBERS ARE VERY SMALL:

  9. SCIENTIFIC NOTATION IS ALSO HELP WITH VERY SMALL NUMBERS: • The diameter of a water molecule is 0.0000000003 m In Scientific Notation this is equivalent to : 3.0 x 10 10

  10. SOMETIMES NUMBERS ARE VERY SMALL:

  11. PRACTICE: • WRITE IN SCIENTIFIC NOTATION: • 2,000,000

  12. PRACTICE: • WRITE IN SCIENTIFIC NOTATION: • 0.000078

  13. PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 50,000,000

  14. PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 0.0125

  15. PRACTICE: • WRITE IN SCIENTIFIC NOTATION: 0.000425

  16. Write in standard form: 4.24 x 10 2

  17. Write in standard form: 3.347 x 10 -1

  18. Write in standard form: 1.5 x 10 -4

  19. Write in standard form: 2.505 x 10 3

  20. Write in standard form: 1.399 x 10 5

  21. WHY ARE NUMBERS WRITTEN IN SCIENTIFIC NOTATION?

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