Question

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

Answer 1

Scientific notation:

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

`((4.8\cdot10^6)(3.6\cdot10^3))/(2\cdot10^5)`

use associstive and commutative property

`=((4.8\cdot3.6)(10^6\cdot10^3))/(2\cdot10^5)`

use
`a^n\cdot a^m=a^(n+m)`

`=(17.28\cdot10^9)/(2\cdot10^5)=(17.28)/(2)\cdot(10^9)/(10^5)`

use
`(a^n)/(a^m)=a^(n-m)`

`=8.64\cdot10^4`

Answer:

`((4.8\cdot10^6)(3.6\cdot10^3))/(2\cdot10^5)=8.64\cdot10^4`

Answer 2

(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