To determine which value is equivalent to 178 centimeters, let's consider the units involved and the appropriate conversions.
### Step-by-Step Solution
1. Understand the given value:
The given value is 178 centimeters.
2. Convert centimeters to meters:
We know that 1 meter = 100 centimeters. Therefore, to convert 178 centimeters to meters, we should divide the given value by 100.
[tex]\[
\text{Value in meters} = \frac{178 \text{ cm}}{100} = 1.78 \text{ meters}
\][/tex]
Now, let’s evaluate the given options one by one:
- A. 1.78 millimeters:
Millimeters are a smaller unit than centimeters. Since 1 centimeter = 10 millimeters, 178 centimeters would be much larger than 1.78 millimeters.
- B. 17.8 millimeters:
Using the same reasoning as above, this value is too small because the conversion from centimeters to millimeters involves multiplying by 10, not dividing by 10.
- C. 1.78 meters:
This makes sense because converting from centimeters to meters involves dividing by 100, as we detailed earlier.
- D. [tex]\(1.78 \times 10^{-2}\)[/tex] micrometers:
This value is implausibly small. Typically, micrometers are much smaller than centimeters, and expressing a centimeter measurement in micrometers would lead to a very large number.
- E. [tex]\(1.78 \times 10^{-5}\)[/tex] kilometers:
This is also incorrect. Converting centimeters directly to kilometers requires dividing by 100,000 (since 1 kilometer = 100,000 centimeters).
Based on these evaluations, the correct answer is:
### C. 1.78 meters
