Question

The mass of a boulder is 10^6 grams. The mass of a pebble is about 10 grams. The mass of the boulder is how many times the mass of the pebble?

Answer 1

The mass of the boulder is 100,000 times the mass of the pebble

Explanation:

Let

x-----> the mass of a boulder

y-----> the mass of a pebble

we have

`x=10^(6)\ grams`

`y=10^(1)\ grams`

Find the ratio

`(x)/(y)=(10^(6))/(10)`

Simplify

`(x)/(y)=10^(5)`

Solve for x

`x=10^(5)y`

`x=100,000y`

therefore

The mass of the boulder is 100,000 times the mass of the pebble