There's a ground on the chip. First - you need to read and understand the datasheet I linked; it has -all- of the information you need to get this working. Looking at the clearer photo of the chip you posted, pin 1 is on the left-hand side, bottom (notice the divot on the left hand side of the chip - that is IMPORTANT). Pins are counted on DIP ICs starting from pin 1, across the "bottom" (ref your pic), then back from the right-top pin to the left (so pin 16 is above pin 1, pin 15 is above pin 2, and so on - understand?).
Now - if you look at the datasheet, the table on page 4 - you will see that pin 2 is ground for the chip - that's your ground. Hook a black wire up to that (trace back from the pin on the underside - remember, pins are reversed! - and find a convenient solder point - or just solder to the black wire from the battery, it should be the same). Now, you want the power pin - that is pin 13 (reference the datasheet!); since pin 9 is on the top-right (again, referencing your picture), pin 13 will be above pin 4. That is the power pin for the chip (VDD). Again, find a convenient solder point nearby and solder a red wire to it.
Now - you should be able to use that red wire (from VDD), and -carefully- apply it, with the car turned on, to pins 10 and 11 (backward and forward respectively), and pins 6 and 7 (right and left respectively) - reference the diagram on page 7 of the datasheet, notice how those are connected in the example circuit. Be careful -not- to short that wire against any other pin, or any other part, or you may damage something! If you must, find solder points from those pins to the rest of the circuit, and bring out wires from those points, then short the wire ends together (this is safer).
Also note pin 12 - that is the "turbo" pin. Setting this pin "high" may enable some mode (typically "fast high speed" when the "forward" pin is brought high).
Note also that sometimes, these pins and such are "reversed" - so that forward is backwards, and right is left, etc. Not sure why, but the manufacturers do this.
Let us know how that goes. That should work. Note that this is all without using an Arduino. You may need to prop up the car to keep it from running away from you. If you get this working, then we can move on to the next step.