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 $2.01*10^6$