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Scientific Notation

Scientific Notation. How wide is our universe?. 210,000,000,000,000,000,000,000 miles (22 zeros) This number is written in decimal notation. When numbers get this large, it is easier to write them in scientific notation. Write the width of the universe in scientific notation.

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Scientific Notation

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  1. Scientific Notation

  2. How wide is our universe? 210,000,000,000,000,000,000,000 miles (22 zeros) This number is written in decimal notation. When numbers get this large, it is easier to write them in scientific notation.

  3. Write the width of the universe in scientific notation. 210,000,000,000,000,000,000,000 miles Where is the decimal point now? After the last zero. Where would you put the decimal to make this number be between 1 and 10? Between the 2 and the 1

  4. 2.10,000,000,000,000,000,000,000. How many decimal places did you move the decimal? 23 When the original number is more than 1, the exponent is positive. The answer in scientific notation is 2.1 x 1023

  5. RULES of Scientific Notation 7,500,000,000,000 = 7.5 x 1012 Rule 2 Rule 1 Second factor is A power of 10 First factor is 1 or bigger BUT smaller than 10

  6. The moon orbits the earth at a distance of 384,000 km from earth. Write this number in scientific notation.

  7. STEP 1 Move decimal until: Number is BIGGER than 1 384,000 BUT Smaller than 10

  8. STEP 2 Count the number of times you moved the decimal Moved decimal 5 times 384,000 3.84

  9. Write as a power of 10 This number is the number of times you moved the decimal 3.84 x 105 STEP 3 384,000

  10. Writing in standard form: 2.3 x 108

  11. STEP 1 2.3 x 108 The exponent is 8. Move the decimal 8 places to the right. 2 30000000. Now Here Decimal was here

  12. YOUR TURN! Write in Scientific Notation! 396,000,000,000 73,000,000,000,000

  13. Write in Standard Form 1.2 x 102 3.32 x 105 6.443 x 109

  14. EXAMPLE 1 The moon orbits the earth at a distance of 384,000 km from earth. Write this number in scientific notation. Step 1. Move the decimal point so the factor is bigger than 1 but smaller than 10 3 84,000. Step 2. Count the number of times you moved the decimal 5 times Step 3. Write 100,000 as a power of 10 3.84 x 105

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