The distance from Earth to the sun, about 1.50 x 10^8 kilometers, is known as an astronomical unit. The nearest star, Proxima Centauri, is 2.6 x 10^8 astronomical units from Earth. How many kilometers separate Earth from the nearest star? Write you answer in Scientific Notation

Distance from Earth to Proxima Centauri (in scientific notation) = kilometers

Step-by-step explanation:

We need the conversion between Astronomical Unit and Kilometers.

The conversion is:

1 AU = 1.496*10^8 km

or rounded, given in this problem,

1 AU = km

We need the distance from Earth to Proxima Centauri:

AU * kilometers

When multiplying two numbers in scientific notation, we have to "multiply the coefficients" and "add the exponents".

Lets do this:

Distance from Earth to Proxima Centauri (in scientific notation) = kilometers

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1