Scientific Notation to Standard Form
A factory produces 2,000 laptops per day. Write 2,000 in scientific notation.
2 x 103
(3.3 x 1010) + (1.5 x 1010)
4.8 x 1010
The Earth’s surface area is approximately 300,000,000 square miles.
If each square mile has an average population of 2.4 x 101, what is the total population of Earth (in scientific notation)?
√(64-39)/√(16⋅2-7)
1
Write 0.06 in scientific notation.
6 x 10-2
9.09 x 107 - 2.9 x 106
8.8 x 107
What is the difference between 10.6 x 107 and 2.3 x 103 written in scientific notation?
1.059977 x 108
√(41-42)⋅10-2
1/20
A book is estimated to have 307,000 letters. Write 307,000 in scientific notation.
3.07 x 105
(2.5 x 104)(4 x 106)
1 x 1011
A researcher recorded the size of two of the most venomous animals in the world. A jellyfish and a spider. The size of the jellyfish was 4.472 x 10-5 cubic feet. The size of the spider was 4.09 x 10-3 cubic feet.
What is the difference between the size of the spider and the size of the jellyfish, rounded to the nearest hundredth?
4.05 x 10-3
(10-3⋅√16)/√64
-1/2
Write 5.05 x 106 in standard form.
5,050,000
5.5 x 1015 ÷ 8 x 1020
6.875 x 10-6
Plastic production in 1987 was 4 times smaller.
4(√121-√36) + ∛-125
15
The speed of an average snail is estimated to be 9.065 x 10-4 miles per second. Write the speed in standard form.
0.0009065
(2.35 x 1011 + 4.65 x 1011) ÷ 8 x 1011
8.75 x 10-1
An engineer is determining the amount of pressure that water from a lake is placing on a drainage wall using the formula P=(2)-1wh2, where P is the pressure in pounds per foot, w is the unit weight of water in pounds per cubic foot, and h is the height of the water, in feet.
Use the equation shown to determine the pressure, P, on a drainage wall, in pounds per foot, when the height of the water is 3 feet and the weight of the water is 48.6 pounds per cubic foot.
P=(2)-1(48.6)(3)2
218.7 pounds per foot.
√(4 x 100) - √64/√25
2/5