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.

Answer 1

Solution for question 1:

$\frac{4 * 10^15}{8 * 10^9}$

Put it in this format:

$\frac{2^2 * 10^15}{2^3 * 10^9}$

Solving;

2(²-³) × 10^(15-9)

2^-1 × 10^6 = 1/2 × 10^6

That gives 5 × 10^5

Solution to question 2:

$\frac{2^1 * 10^-5}{2^2 * 10^-12}$

Solving;

2^(1 - 2) × 10^(-5 + 12)

= 1/2 × 10^7

That gives;

5 × 10^6