Question

1. Estimate how many times larger 4 x 1015 is than 8 x 109 in the form of a single digit times an integer power of 10. 2. Estimate how many times larger 2 x 10-5 is than 4 x 10-12 in the form of a single digit times an integer power of 10.

Answer 1

`4*10^(15)` is
`5*10^5` times larger than
`8*10^9`

`4*10^(15)` is
`5*10^6` times larger than
`4*10^(-12)`

Step-by-step explanation:

Ratio between
`4*10^(15)` and
`8*10^9` =
`(4*10^(15))/(8*10^9) =5*10^5`

So
`4*10^(15)` is
`5*10^5` times larger than
`8*10^9`

Ratio between
`2*10^(-5)` and
`4*10^(-12)` =
`(2*10^(-5))/(4*10^(-12)) =5*10^6`

So
`4*10^(15)` is
`5*10^6` times larger than
`4*10^(-12)`