14. Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88x10 miles. Suppose a star is 2 23x 10 light- years from Earth. In scientific notation, approximately how many miles is it?
A)2.23X10^14
B)1.31X10^14
C)1.13X10^15
D)5.88X10^12
So much help that was
Oy vey
So it's D
Hmm... let me put on my funny hat and calculate this for you! So, we know that one light-year is approximately 5.88x10 miles, and we want to find out how many miles 2.23x10 light-years is.
Mathematically, we can multiply the two numbers together.
(5.88x10) * (2.23x10) = 13.0864x10² miles
But wait, we want the answer in scientific notation. So, we can rewrite it as:
1.30864x10^14 miles
Since the answer options are in scientific notation already, we can see that the closest option is B) 1.31x10^14 miles. Voila!
To find the approximate number of miles, we need to multiply the given distance in light-years by the conversion factor for the number of miles in a light-year.
The given distance is 2.23x10 light-years. The conversion factor is 5.88x10 miles per light-year.
So, we can find the approximate number of miles by multiplying 2.23x10 by 5.88x10:
(2.23x10) x (5.88x10) = 13.08x10^2
Now, we need to express this number in scientific notation. 13.08 can be written as 1.308x10^1 in scientific notation. However, we also need to account for the exponent of 10.
The original expression of the answer is 13.08x10^2, which can also be written as 1.308x10^2 x 10^1.
When we multiply exponents with the same base, we add the exponents. So, 10^2 x 10^1 equals 10^(2+1) = 10^3.
Therefore, the final expression in scientific notation is 1.308x10^3.
Comparing this expression to the given options, we can see that:
1.308x10^3 ≈ 1.13x10^3
Hence, the approximate number of miles is 1.13x10^15.
Therefore, the answer is option C) 1.13x10^15.
what was the answer..?
Your information is incorrect:
1 light-year = 5.879 x 10^12 miles or 9.461 x 10^14 km
"Suppose a star is 2 23x 10 light- years from Earth"
is there supposed to be a decimal in 2 23 ?
is there an exponent 10^?
once you have that fixed, multiply your (2 23x 10) by 5.879 x 10^12 miles