Question

The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.

How many times greater is the mass of the sun than the mass of Mercury?
Type your answer in scientific notation form.

Answer 1

The mass of Sun is
`65* 10^5` times greater than mass of Mercury.

Explanation:

We are given that

Mass of the sun=
`M=2.13525* 10^(30)` kg

Mass of Mercury,
`m=3.285* 10^(23)`kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury=
`(2.13525* 10^(30))/(3.285* 10^(23))`

Mass of sun/Mass of mercury
`=0.65* 10^(30-23)`

Using the property

`a^x/a^y=a^(x-y)`

Mass of sun/Mass of mercury
`=0.65* 10^(7)`

Mass of sun/Mass of mercury
`=65* 10^5`

Mass of Sun=
`65* 10^5` times Mass of Mercury

Hence, the mass of Sun is
`65* 10^5` times greater than mass of Mercury.