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Scientific Notation Tutorial

Scientific Notation Tutorial. Science often deals with large numbers. The number of hydrogen atoms in a liter of water is almost 70,000,000,000,000,000,000,000,000. To write out such large numbers every time you use them would be a lot of trouble.

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Scientific Notation Tutorial

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  1. Scientific Notation Tutorial

  2. Science often deals with large numbers. The number of hydrogen atoms in a liter of water is almost 70,000,000,000,000,000,000,000,000

  3. To write out such large numbers every time you use them would be a lot of trouble. • Performing calculations on these numbers would be confusing.

  4. Scientific Notation • To deal with these large numbers, scientist use scientific notation. • All numbers are expressed as two numbers multiplied together. • The first number is between 1 and 10 and the second is a power of 10. • 200 is written: 2.0 x 102

  5. Scientific Notation Examples • 450,000,000 • Step 1 move the decimal point to the left until the number to the left of the decimal point is between 1 and 10. • 4.50000000

  6. Scientific Notation Examples • Determine the size of the exponent. The exponent is equal to the number of places you moved the decimal point. • 4.50000000 8 places • Step 3: Determine the sign of the exponent. If you move the decimal to the left the sign is positive. • 4.5 x 108

  7. Try these on your paper: • 634,000 • 533 • 1,900,000 • 87,000

  8. Very Small Numbers • .000062 • Step 1: Move the decimal point to the right until the number to the left of the decimal point is between 1 and 10 • 00006.2

  9. Very Small Numbers • Step 2: Determine the exponent by counting the number of places you moved the decimal. • 00006.2 is equal to 5 places • Step 3 Determine the sign of the exponent. If you move the decimal to the right, the exponent will be negative: • 6.2 x 10-5

  10. Try these on your paper: • .000053 • .00421 • .000000088 • .012

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