$1.0009$ is smaller.
Work Step by Step
We have $$ 1.003, \quad 1.0009.$$ By comparing the corresponding digits, we see that $0\lt 3$, so $1.0009$ is smaller.
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.