Step 1: Know what standard error means.
Standard error tells us how precisely the sample mean estimates the true population mean. A bigger sample gives a smaller standard error.
Step 2: Write the formula.
\[ SE = \frac{SD}{\sqrt{n}} \]
Step 3: Plug in the numbers.
We are told $SD=1$ and $n=100$ women, so $\sqrt{n}=\sqrt{100}=10$.
\[ SE = \frac{1}{10} = 0.1 \]
Step 4: Conclude.
So the standard error works out to 0.1, much smaller than the standard deviation itself, since a sample of 100 gives a fairly precise estimate of the mean.
\[ \boxed{0.1} \]