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Scientific Notation

from the . VERY BIG. Scientific Notation. to the . very small. 10 3 =1000 10 2 =100 10 1 =10 10 0 =1 10 -1 =0.1 10 -2 =0.01. 123,456.789. ones column – 10 0 6x10 0 =6. 123,456.789. tens column – 10 1 5x10 1 =50. 123,456.789. hundreds column – 10 2 4x10 2 =400. 123,456.789.

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Scientific Notation

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  1. from the VERY BIG Scientific Notation to the very small

  2. 103=1000 102=100 101=10 100=1 10-1=0.1 10-2=0.01

  3. 123,456.789 ones column – 100 6x100=6

  4. 123,456.789 tens column – 101 5x101=50

  5. 123,456.789 hundreds column – 102 4x102=400

  6. 123,456.789 tenths column – 10-1 7x10-1=0.7 or seven tenths

  7. Distance to the Moon For over 25 years, scientists have been accurately measuring the distance to the Moon by shining lasers through telescopes. The laser beam reflects off reflectors placed on the surface of the Moon by Apollo astronauts. They have determined that the average distance between the centers of Earth and the Moon is 385,000 km, and it is known with an accuracy of better than one part in 10 billion.

  8. The average distance between the centers of Earth and the Moon is 385,000 km. Express this distance in scientific notation in both kilometers and meters. 3.85x105 km or 3.85x108 m

  9. 385,000 km; and it is known with an accuracy of better than one part in 10 billion. How accurately do we know the distance between the earth and moon? Express your answer in kilometers and in centimeters.

  10. Using this laser technique, scientists also have discovered that the Moon is receding from Earth at about 3.8 cm/yr. How long will it take for the moon to recede 1 km (about 0.62 miles)?

  11. Express the following in scientific notation: Check answer Next slide

  12. Solve using scientific notation: Check answer Check answer X End show

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