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.

Answer 1

5×10⁵

5×10⁶

Explanation:

1)

`(4\cdot 10^(15))/(8\cdot 10^(9))=(40\cdot 10^(14))/(8\cdot 10^(9))\\\\=(40)/(8)\cdot 10^((14-9))=5\cdot 10^(5)`

2)

`(2\cdot 10^(-5))/(4\cdot 10^(-12))=(20\cdot 10^(-6))/(4\cdot 10^(-12))\\\\=(20)/(4)\cdot 10^((-6-(-12)))=5\cdot 10^(6)`