Question

Light travels 3×10^5 kilometers in one second. How far does it travelin 6.7 seconds? Woe in scientific notation

Answer 1

It will travel 6.7 times farther, as the light is moving for 6.7 seconds versus 1. Therefore, you must do 3 *
`10^(5)` * 6.7 which is 2.01 *
`10^(6)` in scientific notation.

Answer 2

scientific notation is
`a*10^b` where 1≤a<10 and b is an integer


use commutaive property of multiplication and associative property
ab=ba and a(bc)=(ab)c
and

`(x^m)(x^n)=x^(m+n)`

so

`3*10^5` times 6.7=

`3*6.7*10^5=`

`20.1*10^5=`

`2.01*10^1*10^5=`

`2.01*10^6`


the answer is
`2.01*10^6`