Write the following numbers in Scientific notation:
1) 6,000
2) 71,000
3) 0.004
4) 0.5
5) 900,000
6) 0.8
7) 0.0007
8) 230
Write in standard form:
9)
3.22 x 10−4
10) 3.50 x 106
11) 9.6 x 102
12) 4.1 x 10−1
13) 8.525 x 103
14) 1.8 x 10−9
Multiply or Divide the following numbers and write your answer in Scientific Notation.
15) ( 1.9 X 102 ) (2.3 x 105 )
17)
8.4 𝑥 103
4.2 𝑥 10−2
16)
1.5 𝑥 10−8
6 𝑥 106
18) (70000) (3 x 105 )
Scientific Notation Word Problems
1) The diameter of the sun is 1,400,000 km.
a) How many times greater is the diameter of the Sun than the diameter of the Earth if the diameter of the
earth is 1.28 x 104 km?
b) The diameter of the Moon is about 3.48 x 103 km. How many times greater is the diameter of the Sun
than the diameter of the Moon?
2) The thickness of a dime is 0.135 cm and the thickness of a dollar bill is 1.0922 x 10−2 cm. How many times
greater is the thickness of a dime than the thickness of a dollar bill?
3) The mass of the Earth is 5.9726 x 1024 kg. The mass of Venus is 4.8676 x 1024 kg. How many times
larger is the mass of the Earth than the mass of Venus?
4) In population of the world is 7,216,823,093. The population of China is 1.361 x 109 . How many times
larger is the population of the world compared to the population of China?
5) Ethan estimated the mass of a grain of sugar as 6.25 x 10−4 grams. Based upon Ethan’s estimate, what is
the mass of 500 grains of sugar? Write you answer in scientific notation.
6) A grain of sand weighs about 1.351 x 10−6 grams. Researchers estimate that there about 7.5 x 1018 grains
of sand on all the beaches of Earth. How much do all of those grains of sand weigh? Write your answer is
scientific notation.
7) Light travels at a speed of 1.86 x 105 miles per second. The Earth has a circumference of 2.4901 x 104
miles. If an object could travel at the speed of light, how long would it take to circle the Earth? Write your
answer in scientific notation.
8) NBC charger $4.5 x 106 for a 30 second commercial during this year’s Super Bowl. How much does a 210
second commercial cost? Write your answer in scientific notation.
9) Human hair grown at an average rate of about 4 x 10−2 centimeters per day. At this rate, how hair would
you grow in the month of February?
10) The mass of a grain of rice is 3 x 10−2 grams. There are about 19,000 grains of rice in a serving. What is
the mass of a serving of rice? Write your answer in scientific notation.