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Scientific Notation Calculations

Scientific Notation Calculations. Earth and the Sun. Light travels at approximately 3.0 • 10 5 km per second. The light from the sun takes approximately 500 seconds to reach Earth. Approximately how many kilometers apart are the sun and Earth ?

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Scientific Notation Calculations

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  1. Scientific Notation Calculations

  2. Earth and the Sun • Light travels at approximately 3.0 •105 km per second. The light from the sun takes approximately 500 seconds to reach Earth. Approximately how many kilometers apart are the sun and Earth? • Step 1:Write both numbers in scientific notation. • 3.0 • 105 & 5•102 • Step 2: Multiply numbers • 3(5) = 15 • Step 3: Add exponents • 105 & 102 » (5 + 2 = 7) » 107 • Step 4: Write in proper scientific notation. • 15 • 107 = 1.5 • 108 km

  3. Bacteria • One organism of a certain bacteria has a mass of approximately 1.1 •10-12 grams. After 2 months, this certain bacteria can reproduce into 3.1 • 1025total bacteria. What would be the mass (in grams) of all of these bacteria? • Step 1:Write both numbers in scientific notation. • 1.1 • 10-12 & 3.1•1025 • Step 2: Multiply numbers • 1.1(3.1) = 3.41 • Step 3: Add exponents • 10-12 & 1025 » (-12 + 25 = 13) » 1013 • Step 4: Write in proper scientific notation. • 3.41 • 1013 grams

  4. Real Facts • The average child has a total of 2.7 •105 germs on their hands. How many total germs are there in a classroom of 30 kids? What about in a school of 950 kids? • Step 1:Write both numbers in scientific notation. • 2.7 • 105 & 3.0 •101 • Step 2: Multiply numbers • 2.7(3.0) = 8.1 • Step 3: Add exponents • 105 & 101 » (5 + 1 = 6) » 106 • Step 4: Write in proper scientific notation. • 8.1 • 106 germs for 30 kids • Now for 950 kids: • 2.7 • 105 & 9.50 •102 • 2.7(9.50) = 25.65 • 105 & 102 » (5 + 2 = 7) » 107 • 2.565 • 108 germs for 950 kids.

  5. Calories • A typical teenager should consume approximately 2500 calories per day. In America, there are approximately 3.3 •107 teenagers. How many total calories should be consumed by teenagers in one day? • Step 1:Write both numbers in scientific notation. • 2.5 • 103 & 3.3•107 • Step 2: Multiply numbers • 2.5(3.3) = 8.25 • Step 3: Add exponents • 103 & 107 » (3+ 7 = 10) » 1010 • Step 4: Write in proper scientific notation. • 8.25 • 1010 calories

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