Nerdy Word Problems
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.
Simplify x5 * x4
x9
Convert 8.2 x 104 into standard form
82,000
82000
(8.2 x 105)(4 x 10-3)
3.28 x 103
Evaluate the expression 2-4
1/16
Light travels at approximately 3.0 x 10^8 m/sec. How far does light travel in one week? (Hint: There are 6048 x 10^5 seconds in a week)
Light will travel 1.8144 x 101^4 meters in one week.
Simplify (x5)4
x20
Convert .00092 into scientific notation
9.2 x 10-4
(8.2 x 105) + (4 x 104)
8.6 x 105
Evaluate the expression 370
1
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.
Simplify x5 ÷ x4
x1
Convert 58,000,000,000,000 into scientific notation
5.8 x 1013
(8.2 x 105) ÷ (4 x 10-3)
2.05 x 108
Evaluate 82 / 84
1/64
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
Simplify (x3)-2 ÷ x4 ⋅ x7
x-3
Convert 6.11 x 10-3 into standard form
.00611
0.00611
(8.2 x 105) - (4 x 104)
7.8 x 105
Evaluate the expression 1/79 • 1/7-6
1/147
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
Simplify x11 ⋅ x-6 ÷ (x-5)4
x25
Convert 7 x 10-5 into standard form
.00007
0.00007
(3.7 x 103)(5.2 x 103) - (1.1 x 106)
1.814 x 107
Evaluate the expression 94 • 9-2 / 92
1