Question

(4.8 x 10^6)(3.6 x 10^3) / (2 x 10^5) expressed in scientific notation

Answer 1

(4.8 x 10^6)(3.6 x 10^3) / (2 x 10^5)

= (4.8 x 3.6) x 10^(6+3) / 2 x 10^5

= 17.28 x 10^9 / 2 x 10^5

= (17.28 / 2) x 10^(9 - 5)

= 8. 64 x 10^4

Answer 2

Scientific notation:

$a\cdot10^k$ where $1\leq a < 10$ and $k\in\mathbb{Z}$

$\dfrac{(4.8\cdot10^6)(3.6\cdot10^3)}{2\cdot10^5}$

use associstive and commutative property

$=\dfrac{(4.8\cdot3.6)(10^6\cdot10^3)}{2\cdot10^5}$

use $a^n\cdot a^m=a^{n+m}$

$=\dfrac{17.28\cdot10^9}{2\cdot10^5}=\dfrac{17.28}{2}\cdot\dfrac{10^9}{10^5}$

use $\dfrac{a^n}{a^m}=a^{n-m}$

$=8.64\cdot10^4$

Answer:

$\dfrac{(4.8\cdot10^6)(3.6\cdot10^3)}{2\cdot10^5}=8.64\cdot10^4$