Name: Date: CHAPTER
2
Lesson 2.1
Scientific Notation
Understanding Scientific Notation
Tell whether each number is written correctly in scientifi c notation. If incorrectly written, state the reason.
1. 9 ? 1015
2. 21.5 ? 1025
3. 7.25 ? 1023
4. 0.8 ? 107
Write each number in scientifi c notation.
5. 6,238
6. 3,700,000,000
7. 0.00000000000083
8. 0.0028
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Write each number in standard form.
9. 6.05 ? 101
10. 8.4 ? 105
11. 3.82 ? 1024
12. 9.8 ? 1027
Identify the greater number in each pair of numbers. Justify your reasoning.
13. 5.8 ? 105 and 8.5 ? 103
14. 9.9 ? 1010 and 9.6 ? 1011
15. 4.8 ? 1027 and 8.8 ? 1027
16. 1.25 ? 1023 and 1.28 ? 1025
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Name: Date: Solve. Show your work.
17. Dylan came across the following fun facts about the human body while
searching the internet. Complete the table by writing each figure in scientfic
notation.
Fun Facts
Fun Figures in
Standard Form
Number of cells in a human body
12,000,000,000,000
The diameter of a red blood cell (m)
0.0000084
Average number of times the human
eye blinks
4,200,000
Number of hairs on a human scalp
100,000
The width of a human hair (cm)
0.00108
Average number of times a human
heart beats in its lifetime
3,000 million
Fun Figures in
Scientific Notation
18. Airborne particles are solids suspended in the air. The table shows the sizes of
some airborne particles.
Particle Diameter (m)
Saw dust
0.000085
Talcum dust
0.00000024
Carbon black dust
0.0000007
Cement dust
0.000018
Particle Diameter in
Scientific Notation (m)
Note: The size of contaminants and particles are usually described in microns, a
metric unit of measure, where one micron is one-millionth of a meter.
a)
Complete the table by writing each particle diameter in scientific notation.
b)If a human eye can see particles to approximately 4 ? 1025 meter, which
airborne particles listed in the table are visible to humans?
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Airborne Particles
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19.
At a science fair, Julia came across the following data:
•
The average human eye blink takes 3.5 ? 105 microseconds.
•
A camera flash illuminates for 1,000 microseconds.
•
The shutter speed of a standard camera is 4 ? 103 microseconds.
Note: A microsecond is an SI unit of time equal to one-millionth (1026) of a
second. Its symbol is m s.
a)Which action listed takes the least amount of time, in microseconds, to
complete? Write your answer in scientific notation.
b)Which action listed takes the greatest amount of time, in microseconds, to
complete? Write the time taken in seconds in scientific notation.
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20. The table shows the speed of two mediums in air.
Medium
Speed (m/s)
Light
300 million
Sound
330
Speed in Scientific
Notation (m/s)
a)Complete the table by writing the speed of each medium in scientific
notation.
b)Which is most likely to occur first, a person seeing a flash of lightning or a
person hearing the sound of thunder?
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