The mass of Saturn is about 5.688 10^23 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Saturn is the mass of the sun? Give answer in scientific notation. The mass of the sun is about ----- times the mass of Saturn.
just divide...
1.998x10^27
---------------
5.688x10^23
= (1.998/5.668)x10^(27-23)
= 0.3525x10^4
= 3.525x10^3
To find out how many times the mass of the sun is the mass of Saturn, we need to divide the mass of the sun by the mass of Saturn. Here's how you can calculate it:
1. Write down the given mass of Saturn: 5.688 x 10^23 metric tons.
2. Write down the given mass of the sun: 1.998 x 10^27 metric tons.
3. Divide the mass of the sun by the mass of Saturn: (1.998 x 10^27) / (5.688 x 10^23).
To divide these numbers in scientific notation, we can divide the coefficients (1.998 / 5.688) and subtract the exponents (10^27 - 10^23):
Coefficient division: 1.998 / 5.688 ≈ 0.351 (rounded to three decimal places).
Exponent subtraction: 10^27 - 10^23 = 10^(27-23) = 10^4.
Therefore, the mass of the sun is approximately 0.351 x 10^4 times the mass of Saturn.
In scientific notation, this can be written as:
3.51 x 10^3 (since 0.351 is equivalent to 3.51 x 10^0, and 10^0 x 10^4 = 10^4).
So, the mass of the sun is about 3.51 x 10^3 times the mass of Saturn.