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Converting to Scientific Notation
Converting to Standard Form
Multiplying and Dividing in Scientific Notation
Adding and Subtracting in Scientific Notation
Problem Solving with very large and very small quantities
100
Rewrite the following expression in scientific notation. 450000000
4.5 x 10^8
100
Rewrite the following expression in standard notation. 4 x 10^7
What is 40000000
100
Perform the operation given. (2.1×10^3)×(2.0×10^0)
What is 4.2 x 10^3
100
What is the difference between these two expressions. 1.4 x 10^9 and 1.1 x 10^8
What is 1.29 x 10^9
100
The wavelength of an X-ray is 11 nanometers, or 10^-9 m. X-rays travel at the speed of light, which is ​​(3 x 10^8) meters per second. The frequency of a wave (cycles per second) is equal to the speed of the wave (in meters per second) divided by its wavelength (in meters). What is the frequency of the X-ray? Write your answer in scientific notation.
What is 3 x 10^17
200
Rewrite the following expression in scientific notation. .0000523
What is 5.23 x 10^-5
200
Rewrite the following expression in standard notation. 6.2 x 10^-4
What is .00062
200
Simplify the following expression. (2 x 10^8) divided by (8 x 10^4)
What is 2.5 x 10^3
200
Express you answer in scientific notation. (8.8 x 10^7) + (3.1 x 10^8)
What is 3.98 x 10^8
200
The half-life of Uranium 234 is 2.5 x 10^5 years and the half-life of Plutonium is 8.0 x 10^7 years. How many times greater is the half-life of Plutonium than Uranium 234?
What is 320 times greater
300
Rewrite the following expression in scientific notation. (5 x 5000)
What is 2.5 x 10^4
300
Rewrite the following expression in standard notation. 623 x 10^-6
What is .000623
300
Simplify the following expression. (6 x 10^3) x (3 x 10^5) divided by (2 x 10^3)
What is 9 x 10^5
300
How much larger is (3.8 x 10^4) compared to (3.7 x 10^3)?
What is 3.43 x 10^4
300
The Earth is approximately 93,000,000 miles from the sun. How long does it take light from the sun to reach the earth? Use the speed of light to be 1.86 x 10^5 miles per second.
What is 500 seconds
400
Rewrite the following expression in scientific notation. (50000 x 300)
What is 1.5 x 10^7
400
Rewrite the following expression in standard notation. 565 x 10^4
What is 5650000
400
Simplify the following expression. (5 x 10^-2) x (8 x 10^-3) divided by 10^-8
What is 4 x 10^4
400
Express the answer in scientific notation. (2.8 x 10^-3) + .00065
What is 3.45 x 10^-3
400
Light travels at approximately 3.0 x 10^8 m/sec. How far does light travel in one week?
What is 1.81 x 10^14
500
Rewrite the following expression in scientific notation. 587.23 x 10^-4
What is 5.8723 x 10^-2
500
Rewrite the following expression in standard notation. 3562.3 x 10^-2
What is 35.623
500
Simplify the following expression. (7 x 10^-5) x (8 x 10^-4) divided by (4 x 10^3) x (5 x 10^6)
What is 2.8 x 10^-18
500
Express you answer in scientific notation. (3.3 x 10^5) - 44000
What is 2.86 x 10^5
500
Assume that there are 20,000 runners in the New York City Marathon. Each runner runs a distance of 26 miles. If you add together the total number of miles for all runners, how many times around the globe would the marathon runners have gone? Consider the circumference of the earth to be 2.5 x 10^4 miles.
What is 20.8 times around the globe.