Hey guys was wondering if this battery Amazon.com would work for Amazon.com . If not then what battery should i buy the smaller the better. How long coukd i expect this to work for.
Your topic was MOVED to its current forum category as it is more suitable than the original as it is not an Introductory Tutorial
Lots of needed information is missing.
The link to the steppers point to a sales site. Better post a link to the datasheet.
How do You intend to run the steppers? Know that steppers consume energy all the time they are enabled.
How long the batteries last? That depends on how much current the steppers are set to use.
You've not mentioned any driver for the steppers....
Like @Railroader said, the steppers are very inefficient so are not the best choice for battery powered projects.
What is the end use? Please describe your project. Perhaps a different kind of motor would be more appropriate.
To know what battery capacity is required, one must measure or calculate the average current needed versus time.
Thanks for the reply Railroader , I was hoping to use a stepper motor driver like A4988 , to use sleep mode to save the battery. I want to activate three stepper motors when an ir breakbeam sensor sense movement. Here's a datasheet website 28BYJ-48 Stepper Motor Pinout Wiring, Specifications, Uses Guide & Datasheet
Those are unipolar steppers so will require modification to work with a bipolar stepper driver like the A4988.
If you use the A4988 (or similar) driver, be sure to adjust the coil current limit before attaching the motor. If not adjusted properly, the A4988 is capable of melting one of those motors.
Thanks but that's a strange link pointing to I don't know what. End of research for me.
My thought exactly.
noobhobbyist, have you considered servo motors? They're easier to work with for beginners and you can get them in a continuous rotation type if you need rotation beyond 180 degrees.
Trouble with steppers is (as others mentioned), they drain batteries quickly. They also get HOT as the drive gives full current all of the time. Also, basic steppers are jerky-ish and they don't give much in the way of torque (at least the cheapo hobbyist sort that come with many Arduino project kits).
Servo motors you can power separately (and so you should -- don't use the voltage regulator on the Arduino) with whatever voltage the servo can handle. These are favored in the radio controlled aircraft/car hobby for this very reason; plus, they're precise and fast acting and you can gets heaps of torque (that's a technical term) if you shop around. Sounds to me like fast acting is something a project using an IR tripwire might benefit from 
As for batteries: a good choice for duration for the price is a sealed lead acid battery, 12 volt 5Ah (the kind used as battery backup in many fire alarm system control panels), regulated to your circuit with a buck converter rated for the current you need (virtually all will feed at 1 amp, many can handle more). Get two of these and create the voltage you need for the motors/drivers whatever else you choose, a screwdriver and a multimeter will dial in the voltage, maybe 6 volts if you selected a 6 volt servo then tie all the stages grounds together. Buck converters are awesome! The voltage you need, many if not most come in a little aluminum case that acts as a heatsink.
To those about to build: I salute you! 
To be clear, continuous rotation servos have their positional feedback element disconnected so they can not be used for positioning. They are merely gear motors that can have their direction and speed controlled by a servo type signal. They are servos in name only.
Well, actually, unipolar steppers do not necessarily require modification if you are not using a bipolar stepper driver with current limiting.
He did actually - that first link with the steppers includes the so-called "drivers" which are unfortunately total rubbish, using the obsolete ULN2803 which loses at least a Volt which will be significant at 5 V.
A TPIC6A595 would be a more sensible driver for the old 28BYJ-48/ 5V stepper - or I think the TPIC6B595 would probably suffice. I think we are sufficiently familiar with these steppers not to need the datasheet for most purposes. 
Not sure what this "sleep" mode is. 
Any driver you use can simply turn off the coils entirely, and the gearing of the 28BYJ-48 prevents it from being back-driven, so de-powering it is no problem.
Most excellent point!
The battery is 4.8V. The motor driver board that you've mentioned needs 5V . So, not sufficient.
The A4988 driver requires minimum of 8V motor power.
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