light travels 3×10^5 kilometers in one second. how far does it travel in 7.6 seconds? write your answer in…

Explanation:

Step1: Recall the distance - speed - time formula

Distance = Speed×Time. The speed of light is $3\times 10^{5}$ km/s and the time is $t = 7.6$ s.

Step2: Calculate the distance

$d=(3\times 10^{5})\times7.6$. First, calculate $3\times7.6 = 22.8$. Then, using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$ (here $a = 10$), we have $d=22.8\times10^{5}$.

Step3: Convert to scientific notation

Scientific notation is of the form $a\times 10^{n}$ where $1\leqslant a<10$. Rewrite $22.8\times10^{5}$ as $2.28\times10^{1}\times10^{5}$. Using the exponent rule $a^{m}\times a^{n}=a^{m + n}$ again, we get $d = 2.28\times10^{6}$ km.

Answer:

$2.28\times 10^{6}$