Question

Estimate how many times larger 4 x 10^15 is than 8 x 10^9 in the form of a single digit times an integer power of 10.

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.

Do not answer if you do not know it!!!!

Answer 1

Solution for question 1:

`(4 * 10^15)/(8 * 10^9)`

Put it in this format:

`(2^2 * 10^15)/(2^3 * 10^9)`

Solving;

2(²-³) × 10^(15-9)

2^-1 × 10^6 = 1/2 × 10^6

That gives 5 × 10^5

Solution to question 2:

`(2^1 * 10^-5)/(2^2 * 10^-12)`

Solving;

2^(1 - 2) × 10^(-5 + 12)

= 1/2 × 10^7

That gives;

5 × 10^6