Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is

Question

6 days ago

6

Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is

equal to 8×106 . In this course, you can enter that as either 8 * 10 ^ 6 or as 8e6 in these problems. Try out exponential notation in the question below.
One light year is equal to 9,460,730,472,580.8 kilometers. Enter this number below in exponential notation. The tolerance on this question is 5%.

________km

Mathematics

2 answers:

lawyer [12.1K] · Answer 1 · 2026-04-03T05:50:26+03:00

Response:

$9*10^{12}km$

Step-by-step explanation:

$9,460,730,472,580.8 km$

To calculate 5% of our number, we start by multiplying by 0.05

$9,460,730,472,580.8 * 0.05 = 473,036,523,629$

Next, by adding and subtracting this 5% from our original number, we can find the minimum and maximum possible values of our final answer in the specified range.

$9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}$

We can ascertain that $9*10^{12}$ fits within the acceptable range, as:

$8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}$

Therefore, our final answer will be:

$9*10^{12}km$

zzz [11.8K] · Answer 2 · 2026-04-03T05:46:59+03:00

zzz [11.8K]6 days ago

0 0

187272828x10