Show work. Simplify.
A light-year is 9.46x10^12 in Km or 6 trillion miles per year (6x10^12)
Problem:
Alpha Centauri is the nearest star to earth. It is 4.3 light-years from earth. How far is this in miles?
Thank you!
You want 4.3(6 * 10^12)
= 25.8 * 10^12
= 2.58 * 10^13 miles
To find out how far Alpha Centauri is from Earth in miles, we can use the conversion rate of 6 trillion miles per light-year.
Given:
Distance to Alpha Centauri = 4.3 light-years
To calculate the distance in miles:
Distance in miles = (Distance in light-years) * (Number of miles per light-year)
Distance in miles = 4.3 * (6 trillion miles per light-year)
Now, let's simplify this calculation step by step.
Step 1: Convert 6 trillion into scientific notation:
6 trillion = 6 * 10^12 (since trillion = 10^12)
Step 2: Substitute the values into the equation:
Distance in miles = 4.3 * (6 * 10^12 miles per light-year)
Step 3: Multiply 4.3 by 6:
Distance in miles = 25.8 * 10^12 miles
Step 4: Simplify the expression by multiplying the coefficient and combining the exponents:
Distance in miles = 25.8 * 10^12 miles
Therefore, the simplified expression for the distance from Earth to Alpha Centauri in miles is 25.8 x 10^12 miles.