To find the difference between the diameters of Earth and Mars, we subtract the diameter of Mars from the diameter of Earth:
Diameter of Earth - Diameter of Mars = (1.2763 X 10^4) km - (6.8 X 10^3) km
= (1.2763 - 0.68) X 10^4 km
= 5.963 X 10^3 km
Therefore, Earth's diameter is about 5.963 X 10^3 km greater than Mars's diameter.
Answer: A) 5.963 X 10^3 km
The diameter of Mars is about 6.8 X 103
kilometers. The diameter of Earth is about 1.2763 X 104
kilometers. About how much greater is Earth's diameter than the diameter of Mars? Please answer in scientific notation.
Responses
A 5.963 X 103
kilometers5.963 X 103 kilometers
B 5.963 X 107
kilometers5.963 X 107 kilometers
C 59.63 X 103
kilometers59.63 X 103 kilometers
D 5.963 X 104
kilometers5.963 X 104 kilometers
11 answers
The diameter of Earth is 7.9175×103 miles.
How is 7.9175×103 written in standard notation?
Responses
A 0.00791750.0079175
B 79.17579.175
C 7,917.57,917.5
D 79,175
How is 7.9175×103 written in standard notation?
Responses
A 0.00791750.0079175
B 79.17579.175
C 7,917.57,917.5
D 79,175
To write 7.9175×10^3 in standard notation, we need to move the decimal point 3 places to the right.
Therefore, 7.9175×10^3 in standard notation is 7,917.5.
Answer: C) 7,917.5
Therefore, 7.9175×10^3 in standard notation is 7,917.5.
Answer: C) 7,917.5
A factory builds a new warehouse that is approximately 1.28 X 105
square feet. Later, they add on 1.13 X 103
more square feet for offices. Use scientific notation to write the total size of the new building. Write the number in scientific notation.
Responses
A 1.2913 X 102
square feet1.2913 X 102 square feet
B 129,130 square feet129,130 square feet
C 129.13 X 102
square feet129.13 X 102 square feet
D 1.2913 X 105
square feet
square feet. Later, they add on 1.13 X 103
more square feet for offices. Use scientific notation to write the total size of the new building. Write the number in scientific notation.
Responses
A 1.2913 X 102
square feet1.2913 X 102 square feet
B 129,130 square feet129,130 square feet
C 129.13 X 102
square feet129.13 X 102 square feet
D 1.2913 X 105
square feet
To find the total size of the new building, we add the initial size of the warehouse to the additional square footage for offices:
1.28 X 10^5 square feet + 1.13 X 10^3 square feet
To add these two numbers in scientific notation, we must make sure the exponents are the same. We can do this by converting 1.13 X 10^3 to 11.3 X 10^2:
1.28 X 10^5 square feet + 11.3 X 10^2 square feet
Now we can add the numbers:
1.28 X 10^5 square feet + 11.3 X 10^2 square feet = 1.2913 X 10^5 square feet
Therefore, the total size of the new building is approximately 1.2913 X 10^5 square feet.
Answer: D) 1.2913 X 10^5 square feet
1.28 X 10^5 square feet + 1.13 X 10^3 square feet
To add these two numbers in scientific notation, we must make sure the exponents are the same. We can do this by converting 1.13 X 10^3 to 11.3 X 10^2:
1.28 X 10^5 square feet + 11.3 X 10^2 square feet
Now we can add the numbers:
1.28 X 10^5 square feet + 11.3 X 10^2 square feet = 1.2913 X 10^5 square feet
Therefore, the total size of the new building is approximately 1.2913 X 10^5 square feet.
Answer: D) 1.2913 X 10^5 square feet
Express the number in scientific notation.
63,600,000
Responses
A 6.36 x 10 76.36 x 10 7
B 6.36 x 10 -76.36 x 10 -7
C 63.6 x 106
63.6 x 10 6
D 636 x 10 5
63,600,000
Responses
A 6.36 x 10 76.36 x 10 7
B 6.36 x 10 -76.36 x 10 -7
C 63.6 x 106
63.6 x 10 6
D 636 x 10 5
To express 63,600,000 in scientific notation, we need to move the decimal point to the right and count the number of places we moved it.
63,600,000 = 6.36 x 10^7
Answer: A) 6.36 x 10^7
63,600,000 = 6.36 x 10^7
Answer: A) 6.36 x 10^7
Pluto is considered to be a dwarf planet in our Solar System. Pluto is about 3.6 X 109
miles from the Sun. Mercury is about 3.6 X 107
miles from the Sun. About how many times farther from the Sun is Pluto than Mercury?
Responses
A 1 X 1015
1 X 1015
B 1 X 10 0
1 X 10 0
C 1 X 10 2
1 X 10 2
D 1 X 10 −2
miles from the Sun. Mercury is about 3.6 X 107
miles from the Sun. About how many times farther from the Sun is Pluto than Mercury?
Responses
A 1 X 1015
1 X 1015
B 1 X 10 0
1 X 10 0
C 1 X 10 2
1 X 10 2
D 1 X 10 −2
To find the ratio of the distance of Pluto from the Sun to the distance of Mercury from the Sun, we divide the distance of Pluto by the distance of Mercury:
(3.6 X 10^9 miles) / (3.6 X 10^7 miles)
When dividing numbers in scientific notation, we subtract the exponents:
3.6 X 10^9 miles / 3.6 X 10^7 miles = 10^(9-7) = 10^2
Therefore, Pluto is about 1 X 10^2 times farther from the Sun than Mercury.
Answer: C) 1 X 10^2
(3.6 X 10^9 miles) / (3.6 X 10^7 miles)
When dividing numbers in scientific notation, we subtract the exponents:
3.6 X 10^9 miles / 3.6 X 10^7 miles = 10^(9-7) = 10^2
Therefore, Pluto is about 1 X 10^2 times farther from the Sun than Mercury.
Answer: C) 1 X 10^2
The width of a human hair is 0.003937 inches.
How is this number written in scientific notation?
Responses
A 3.937 x 10-43.937 x 10 -4
B 3.937 x 10-33.937 x 10 -3
C 3.937 x 10-63.937 x 10 -6
D 3.937 x 103
How is this number written in scientific notation?
Responses
A 3.937 x 10-43.937 x 10 -4
B 3.937 x 10-33.937 x 10 -3
C 3.937 x 10-63.937 x 10 -6
D 3.937 x 103
To write 0.003937 inches in scientific notation, we need to move the decimal point 3 places to the right:
0.003937 inches = 3.937 x 10^(-3) inches
Therefore, the number is written in scientific notation as 3.937 x 10^(-3).
Answer: B) 3.937 x 10^(-3)
0.003937 inches = 3.937 x 10^(-3) inches
Therefore, the number is written in scientific notation as 3.937 x 10^(-3).
Answer: B) 3.937 x 10^(-3)