The distance that light travels in 1 year (a light year) is 5.88x10^12 miles. If a star is 2.4x10^8 light years away, what is the distance to that star in miles? Answer in standard notation.
I put the answer 1411200000000000000000 miles and it says I'm wrong. Can someone explain to me the right answer?
That same question was answered yesterday, but it is faster to answer again, rather than find it
distance = 5.88x10^12 x 2.4x10^8
= 14.112x10^20
= 1.41 x 10^21
To find the distance to the star in miles, we need to multiply the distance in light years by the distance light travels in one light year.
Given:
Distance light travels in 1 year (1 light year) = 5.88 x 10^12 miles
Distance to the star = 2.4 x 10^8 light years
To find the distance in miles, we multiply these two values:
Distance to the star = (2.4 x 10^8 light years) x (5.88 x 10^12 miles/light year)
To multiply two numbers in scientific notation, we multiply the coefficients and add the exponents:
Distance to the star = (2.4 x 5.88) x (10^8 x 10^12) miles
Distance to the star = 14.112 x 10^20 miles
Now, we can express the result in standard notation by moving the decimal point to the right until there is one digit to the left of the decimal:
Distance to the star = 1.4112 x 10^21 miles
So, the correct answer is 1.4112 x 10^21 miles.
To find the distance to the star in miles, we need to multiply the number of light years by the distance that light travels in one light year.
The distance that light travels in one light year is given as 5.88x10^12 miles.
To find the distance to the star in miles, we can multiply the given number of light years by the distance that light travels in one light year:
2.4x10^8 light years * 5.88x10^12 miles
When multiplying numbers written in scientific notation, we multiply the coefficients (the numbers before the powers of 10) and then add the exponents:
(2.4 * 5.88) x (10^8 * 10^12) miles
The product of 2.4 and 5.88 is 14.112.
When multiplying powers of 10 with the same base, we add the exponents:
10^(8+12) = 10^20
Putting it all together, the distance to the star in miles is:
14.112 x 10^20 miles
This can be written in standard notation as:
141,120,000,000,000,000,000 miles