https://file.aiquickdraw.com/mathbot/file/1723724183466fy32ngkx.jpg

The question in the image appears to be a math problem involving scientific notation. It reads as follows (translated from Turkish):

**Question:**
"If a laser beam travels at a speed of \( 1.2 \times 10^{8} \) cm per second, how long does it take for the beam to travel 12 cm?"

The given answer choices are:
- A) \( 12 \times 10^7 \)
- B) \( 12 \times 10^{-8} \)
- C) \( 12 \times 10^{-9} \)
- D) \( 1.2 \times 10^6 \)

### Solution:

We need to determine the time it takes for the laser to travel 12 cm, given its speed of \( 1.2 \times 10^{8} \) cm per second.

Using the formula for time \( t \):
\[
t = \frac{\text{distance}}{\text{speed}}
\]
Substitute the given values:

\[
t = \frac{12 \, \text{cm}}{1.2 \times 10^{8} \, \text{cm/sec}}
\]

First, simplify the fraction:
\[
t = \frac{12}{1.2 \times 10^{8}} = \frac{12}{1.2} \times 10^{-8} = 10 \times 10^{-8} = 1 \times 10^{-7} \, \text{seconds}
\]

Thus, the correct answer is \( 1 \times 10^{-7} \) seconds, which corresponds to option **B) \( 12 \times 10^{-8} \)**.

Would you like more details or have any further questions?

Here are 8 related questions for further practice:
1. How do you simplify scientific notation when dividing large numbers?
2. What is the significance of scientific notation in physics?
3. How would you convert time from seconds to milliseconds in this problem?
4. How does the speed of light compare to the laser beam speed mentioned here?
5. What is the general formula for speed, distance, and time?
6. How can you calculate the time for a different distance using the same laser beam speed?
7. Can you apply the same formula if the speed were in meters per second?
8. What would be the time if the distance were increased to 120 cm?

**Tip:** When working with scientific notation, ensure you adjust both the base and exponent correctly during multiplication or division.

Learn how to calculate the time taken by a laser beam traveling at a speed of 1.2 × 10^8 cm/s to travel a distance of 12 cm using scientific notation. Detailed solution provided with step-by-step calculations.

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