Light travels \[9.45 \cdot 10^{15}\] meters in a year. There are about \[3.15 \cdot 10^7\]seconds in a year. 

**How far does light travel per second?**
*Write your answer in scientific notation.*

To find how far light travels per second, we need to divide the total distance light travels in a year by the number of seconds in a year.

Given:
- Distance light travels in a year = \( 9.45 \cdot 10^{15} \) meters
- Number of seconds in a year = \( 3.15 \cdot 10^7 \) seconds

The formula is:
\[
\text{Distance per second} = \frac{9.45 \cdot 10^{15}}{3.15 \cdot 10^7}
\]

Now, perform the division:

1. Divide the coefficients (numerators):
\[
\frac{9.45}{3.15} = 3
\]

2. Subtract the exponents (since we're dividing powers of 10):
\[
10^{15} - 10^7 = 10^{8}
\]

Thus, the distance light travels per second is:
\[
3 \cdot 10^8 \text{ meters per second}
\]

This is the speed of light, often denoted as \( c \).

Would you like any further details or clarification?

Here are 5 related questions:
1. How do you divide numbers in scientific notation?
2. What is the significance of the speed of light in physics?
3. How do you multiply numbers in scientific notation?
4. How would you convert time units to match different measurements in scientific calculations?
5. What are some other examples of natural constants expressed in scientific notation?

**Tip**: When dividing or multiplying in scientific notation, handle the coefficients and exponents separately for simplicity.

Explore how to calculate the distance light travels per second in scientific notation. Understand the division of numbers in scientific notation using the given distances and time measurements. Learn about the speed of light and its significance in physics.

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