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

Answer:

5×10⁵

5×10⁶

Step-by-step explanation:

1)

$\dfrac{4\cdot 10^{15}}{8\cdot 10^{9}}=\dfrac{40\cdot 10^{14}}{8\cdot 10^{9}}\\\\=\dfrac{40}{8}\cdot 10^{(14-9)}=5\cdot 10^{5}$

2)

$\dfrac{2\cdot 10^{-5}}{4\cdot 10^{-12}}=\dfrac{20\cdot 10^{-6}}{4\cdot 10^{-12}}\\\\=\dfrac{20}{4}\cdot 10^{(-6-(-12))}=5\cdot 10^{6}$