Question

about how far can light travel in 1 year? remember there are 315576×10^7 seconds in a single year. lets make a reasonable estimate. what is (3×10^8)×(3×10^7)? light travels at a speed of 299792458 meters per second. thats about 3×10^8 meters per second.

Explanation:

Step1: Multiply the coefficients

$3\times3 = 9$

Step2: Use exponent - rule for multiplication

When multiplying numbers in scientific notation $a\times10^{m}$ and $b\times10^{n}$, we use the rule $(a\times10^{m})\times(b\times10^{n})=(a\times b)\times10^{m + n}$. Here, $m = 8$ and $n=7$, so $10^{8}\times10^{7}=10^{8 + 7}=10^{15}$

Answer:

$9\times10^{15}$