Multiplying & Dividing (Sci Notation)
(2 x 103) x (3 x 104)
6 x 107
(3.2 x 105) + (4.1 x 105)
7.3 x 105
An electronic component completes 4 x 106 calculations per second. How may total calculations does it complete in 3 x 102 seconds?
12 x 108 calculations
(9.6 xx 10^8) / (3 xx 10^2)
3.2 x 106
Simplify by combining like terms:
7x + 4y - 3x + 8y
4x + 12y
(8 xx 10^-2) / (4 xx 10^5)
2 x 10-7
(8.5 x 104) - (2.7 x 104)
5.8 x 104
A large data center processes 8.4 x 1012 megabytes of data per year. A small local server processes 2.1 x 108 megabytes per year. How many times greater is the data center's capacity than the small server's capacity?
7 x 104 times greater
(4 x 105) x (8 x 103)
3.2 x 109
Simplify the expression completely:
5(2a - 3) - 4(a - 6)
6a + 9
(4.5 x 106) x (6 x 103)
2.7 x 1010
(5.4 x 106) + (3.1 x 105)
5.71 x 106
In a regional agricultural project, Farm A harvested 6.8 x 106 kilograms of wheat. Farm B harvested 4.5 x 105 kilograms of wheat. What was the total combined mass of wheat harvested by both farms?
7.25 x 106 kg
(1.5 xx 10^-2) / (5 xx 10^-6)
3 x 103
Simplify the following expression by distributing and combining like terms, then factor the result completely:
3(4x - 3) + 2(x + 15)
7(2x + 3)
(1.2 xx 10^4) / (4.8 xx 10^-3)
2.5 x 106
(1.2 x 108) - (8.5 x 106)
1.115 x 108
At a certain point in its orbit, Planet X is 1.5 x 108 kilometers from the Sun, while Moon Y (orbiting a outer planet) is 4.5 x 106 kilometers from its host planet. How much farther is Planet X from the Sun than Moon Y is from its host planet?
1.455 x 108 kilometers
(7.3 x 106) - (4.2 x 105)
6.88 x 106
((2x^3)^4 • x^-5) / x^1
16x6
Light travels at approximately 3 x 108 meters per second. The distance from Earth to a distant space probe is 6 x 1011 meters. How many seconds does it take for a radio signal traveling at the speed of light to reach the probe from Earth? Express your answer in scientific notation.
(6 xx 10^11) / (3 xx 10^8) = 2 xx 10^3
The mass of the Earth is approximately 5.97 x 1024 kg, while the mass of the Moon is approximately 7.35 x 1022 kg. How much greater is the mass of Earth than the mass of the Moon? Express your answer in scientific notation.
(5.97 x 1024) - (7.35 x 1022) =
5.8965 x 1024
A high-speed interstellar satellite travels at an average speed of 6.48 x 107 meters per hour. It needs to reach a station that is 8.1 x 1010 meters away. How many hours will it take for the satellite to reach the station? Express your answer in proper scientific notation.
(8.1 xx 10^10) / (6.48 xx 10^7) = 1.25 xx 10^3
(8.7 x 10-4) + (9.5 x 10-3)
1.037 x 10-2
(15a^4b^-2) / (3a^-2b^5)
(5a^6) / (b^7)