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Efficacy of Scientific
Notation
Practice Problems
Unit 1: Lesson 10
1. There are approximately 7.5 x 1018 grains of sand on Earth. There
are approximately 7 x 1027 atoms in an average human body. Are
there more grains of sand on Earth or atoms in an average human
body? How do you know?
2. About how many times more atoms are in a human body compared
to grains of sand on Earth?
3. Suppose the geographic areas of California and the U.S. are 1.637 x
105 and 3.794 x 106 sq. mi., respectively. California’s population (as of
2012) is approximately 3.804 x 107
people. If population were
proportional to area, what would be the U.S. population?
Hint: In class we determined that the population of the U.S. would be 23 times the population of California.
4. The actual population of the U.S. (as of 2012) is approximately
3.14 x 108. How does the population density of California (i.e., the
number of people per sq. mi.) compare with the population density of
the U.S?

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Efficacy of scientific notation practice problems

  • 1. Efficacy of Scientific Notation Practice Problems Unit 1: Lesson 10
  • 2. 1. There are approximately 7.5 x 1018 grains of sand on Earth. There are approximately 7 x 1027 atoms in an average human body. Are there more grains of sand on Earth or atoms in an average human body? How do you know?
  • 3. 2. About how many times more atoms are in a human body compared to grains of sand on Earth?
  • 4. 3. Suppose the geographic areas of California and the U.S. are 1.637 x 105 and 3.794 x 106 sq. mi., respectively. California’s population (as of 2012) is approximately 3.804 x 107 people. If population were proportional to area, what would be the U.S. population? Hint: In class we determined that the population of the U.S. would be 23 times the population of California.
  • 5. 4. The actual population of the U.S. (as of 2012) is approximately 3.14 x 108. How does the population density of California (i.e., the number of people per sq. mi.) compare with the population density of the U.S?