10 loud beeps every time we set or disarm the system

Is this from the 105db siren?

Yes it's coming from the 105db siren

Barbara, sometimes the beeps are between 6-10 or so, it's not always consistent - but kosterhoudt is correct, whenever you hear a series of beeps, it's time to change the batteries.  Also know that if you use the siren as a chirp to hear doors/windows opening, the batteries will run down a bit sooner than usual - on average, the siren's batteries last between 4-8 months, depending on use, always keep some on hand :)

That's  ARMED not tamed, sorry

If you have a battery tester (tests under load, not a voltmeter), make sure the batteries are good.  Check the terminals for corrosion.  Once I put in a battery, I tend to rotate it to make sure it is fully seated and scrape away any minor impediments to current flow.

If your batteries are good and there is no corrosion, then there may be something wrong with the siren.  Call SS for help debugging and replacement if appropriate.

If it's SS2, you might have to "re-sync" it if you replaced the batteries -  Tip: when replacing batteries, the siren may hold it's sync for a short time IF you only replace one at a time over the course of a few seconds as opposed to taking them all out at once and then replacing.  If you take them all out at once and then replace them, you'll have to re-sync it:

• RE-SYNCING THE SIREN:
In order to program your siren into your system, stand between the base station and the keypad with your siren and keychain remote. Hold down the black programming button on the back of the siren and press the "off" button on the keychain remote repeatedly until you here a beep. This is an indication that your siren is now synced!
• If you do not hear the tone, you can try a different way: stand next to your keypad with the siren and hold down the black programming button. While holding it down, enter your PIN on the keypad 4 or 5 times until you hear the tone.
• You can test the siren by pressing the Panic button on either your keypad or keychain remote. To turn it off (the siren alarm), either enter your PIN, or press the Off button on the keychain. Have your phone and safe word handy in case monitoring calls.

Finally got this resolved!  With help from you all & Simplisafe email response, I realize now that you all were talking about replacing the SIREN batteries, and being a novice, silly me thought you meant the keypad batteries!  So, now the issue is fixed, the siren is much louder now too.

Also, SimpliSafe said that my unit can be hooked up to our land line since we have such terrible cell signal .... now we'll be able to get the monitoring service..  Thank you all :-)