Understand Scientific Notation
How are you able to tell if a number is properly written in scientific notation?
The number is written as a product of two factors. The first factor is greater than or equal to one and less than 10. The second factor is a power of ten.
Perform the operation. Express your answer in scientific notation.
(4.2 times 10^5) - (2.5 times 10^3)
4.175 times 10^5
In the year 2013 the population of California was about 38,332,521 people. Write the estimated population as a single digit times a power of 10.
4 times 10^7
Write 803,000,000 in scientific notation.
8.03 times 10^8
Perform the operation. Express your answer in scientific notation.
(4.1 times 10^4) + (5.6 times 10^6)
5.641 times 10^6
The wavelength of green light is about 0.00000051 meter. What is this estimated wavelength as a single digit times a power of 10?
5 times 10^-7
Write 0.0000000068 in scientific notation.
6.8 times 10^-9
Perform the operation. Express your answer in scientific notation.
(2.8 times 10^4) times (4 times 10^5)
1.12 times 10^10
How many times smaller is
3 times 10^-7
than
6 times 10^-2
200,000
Write
1.359 times 10^5
in standard form
135,900
Perform the operation. Express your answer in scientific notation.
(6 times 10^9) divide (2.4 times 10^3)
2.5 times 10^6
The mass of Jupiter is about
2 times 10^27
kilograms and the mass of Earth is about
6 times 10^24
kilograms. Approximately how many planets with the mass of Earth would it take to equal the mass of Jupiter?
333
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius is scientific notation?
2.5 times 10^-11
Population of Town A:
1.26 times 10^5
Population of Town B:
2.8 times 10^4
How many times greater is the population of Town A than the population of Town B?
4.5 times greater
The land area of Connecticut is about 12,549,000,000 square meters. The land area of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?
About 3 times greater.