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Homework:
Scientific Notation

  1. Express the following numbers in scientific notation:
    (a) 0.00000000314 (b) 4,875 (c) 5,002,000
    (d) 0.00054
  2. Express the following numbers as decimals:
    (a) 2.98 × 10-4 (b) 6.25 × 108 (c) 5.07 × 10-6
  3. Express the answers to the following calculations in scientific notation:
    1. 205 + (2.3 × 103)
    2. 82,000 ÷ (2.0 × 103)
    3. (9.0 × 10-8) – (6.0 × 10-9)
    4. (2.0 × 108) × (6.5 × 1011)
  1. Express the answers to the following calculations in scientific notation:
    1. 0.00025 + (7.4 × 10-5)
    2. 2,400 ÷ (6.0 × 10-4)
    3. 45,000 – (9.0 × 103)
    4. (5.0 × 10-2) × (6.0 × 108)
  2. Carry out the following operations as if they were calculations of experimental results. Express answers with the correct number of significant figures and use scientific notation.
    1. 5.697 m + (6.2 × 10-2) m + (5.87 × 101) m
    2. (4.95 × 102) g ÷ (5.128 × 102) mL
    3. (5.97 × 1024) kg ÷ (7.35 × 1022) kg (this is the ratio of the Earth’s mass to the mass of the Moon)



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  1. The CEO of a large company has a net worth of 5.9 billion dollars. If this money were to be split evenly among the 17 thousand employees of the company, how much cash would each employee get?
  2. A google is a search engine. A googol is a very large number: 10100. A mole is another very large number, though not as big: A mole is 6.02 × 1023. How many moles are in a googol?




Group Activity: Scientific Notation
Last updated: Aug 31, 2009 Home