As others have indicated, bash does not have built-in floating-point operators.
You can implement floating-point in bash, even without using calculator programs like bc and awk, or any external programs for that matter.
I'm doing exactly this in my project, shellmath, in three basic steps:
As a teaser, I've added a demo script that calculates e using its Taylor series centered at x=0.
Please check it out if you have a moment. I welcome your feedback!