74.7 µm/92 ms evaluate each of the given values to three significant figures, convert them to SI units, and express the answer using an appropriate prefix.

To evaluate the expression \( \frac{74.7 \, \mu m}{92 \, ms} \) to three significant figures, convert each value to SI units and then express the final result with an appropriate SI prefix, follow these steps:

### Step 1: Convert the values to SI units
1. **74.7 µm** (micrometers)  
   - Convert to meters:  
     \( 74.7 \, \mu m = 74.7 \times 10^{-6} \, m \).

2. **92 ms** (milliseconds)  
   - Convert to seconds:  
     \( 92 \, ms = 92 \times 10^{-3} \, s \).

### Step 2: Perform the division
Now, divide the converted values:
\[
\frac{74.7 \times 10^{-6} \, m}{92 \times 10^{-3} \, s} = \frac{74.7}{92} \times 10^{-6} \times 10^{3} \, \frac{m}{s}
\]
\[
\frac{74.7}{92} \approx 0.811 \quad \text{(to three significant figures)}
\]
\[
0.811 \times 10^{-3} \, \frac{m}{s} = 0.811 \times 10^{-3} \, \frac{m}{s}
\]

### Step 3: Express with an appropriate SI prefix
The result \( 0.811 \times 10^{-3} \, \frac{m}{s} \) can be expressed in millimeters per second:
\[
0.811 \times 10^{-3} \, \frac{m}{s} = 0.811 \, \frac{mm}{s}
\]

### Final Answer:
\[ 0.811 \, \frac{mm}{s} \]

Would you like further details or have any other questions?

### Related Questions:
1. How do you convert between micrometers and nanometers?
2. What is the significance of using SI units in scientific calculations?
3. How do you handle division when dealing with significant figures?
4. Why is it important to use prefixes like milli or micro in SI units?
5. How can you ensure precision when converting between time units like milliseconds and seconds?

### Tip:
When dealing with division or multiplication, always round your final answer to the number of significant figures in the value with the fewest significant figures.

Learn how to convert 74.7 micrometers divided by 92 milliseconds to SI units with three significant figures. This problem covers units and measurements, significant figures, SI units, and appropriate prefixes. Suitable for high school students studying physics or chemistry.

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