Laws of Exponents
Express in Scientific Notation
Express in Standard Form
Multiply/Divide and Express in Scientifc Notation
Nerdy Word Problems
100
4^3 x 4^2=?
4^5
100
61500
6.15*10^4
100
1.09 x 10^3
1090
100
(5.1 x 10^4) • (2.5 x 10^3)
12.75 x 10^7
100
The half-life of Uranium 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?
3.2 x 10^2 = 320 times greater.
200

10x^2 divided by 5x^-3=?

2x^5

200
321
3.21*10^2
200
4.22715 x 10^8
422715000
200
(1.247 × 10^-3) ÷ (2.9 × 10^-2)
4.3*10^-2
200

Light travels at approximately 3.0 x 10^8 m/sec. How far does light travel in one week? (Hint: There are 6.048 x 10^5 seconds in a week)

Light will travel 1.8144 x 10^14 meters in one week.

300
5x^3 y^4 divided by 5x^2 y^3=?
xy
300
3.078 x 10^-4
0.0003078
300
(2x 10^4)x (3x10^2)
6 x 10^6
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.
5.0 x 10^2 = 500 seconds.
400
4x^-2*2x^3=?
8x
400
0.0000568
5.68*10^-5
400
9.004 x 10^-2
0.09004
400
(2.6 × 10^5) (9.2 × 10^-13)
2.392 × 10^-7
400
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? (Hint: Multiply the number of runners of runners by the total distance then covert it to scientific notation.) Consider the circumference of the earth to be 2.5 x 10^4 miles.
2.08 x 10^1 = 20.8 times
500
2(3x^2)^2=?
54x^6
500
0.07085
7.085*10^-2
500
5.1874 x 10^2
518.74
500
(1.247 × 10^-3) ÷ (2.9 × 10^-2)
4.3 × 10^-2
500
Light travels at a speed of 1.86 x 10^5miles per second. If a "light year" is the distance that light travels in one year, how many miles are in a light year? (Hint: Light travels 3.1536 x 10^7 seconds in a year)
5.865696 x 10^12 miles
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