To solve the problem of converting 97 millimeters to hectometers, let's break down the process step-by-step.
1. Start with the given value in millimeters:
We have 97 millimeters (mm).
2. Convert millimeters to meters:
There are 1000 millimeters in one meter. Therefore, to convert millimeters to meters, we divide the number of millimeters by 1000:
[tex]\[
97 \, \text{mm} \div 1000 = 0.097 \, \text{meters} \, (m)
\][/tex]
3. Convert meters to hectometers:
There are 100 meters in one hectometer. Therefore, to convert meters to hectometers, we divide the number of meters by 100:
[tex]\[
0.097 \, \text{m} \div 100 = 0.00097 \, \text{hectometers} \, (hm)
\][/tex]
4. Express the result in standard form:
In standard form, 0.00097 can also be written as:
[tex]\[
9.7 \times 10^{-4} \, \text{hectometers} \, (hm)
\][/tex]
Thus, [tex]\( 97 \)[/tex] millimeters is equal to [tex]\( 9.7 \times 10^{-4} \)[/tex] hectometers.