So I figured out a way to verify the DS method of multiplying single-digit numbers into double-digit numbers. You just subtract 9 from the multiplicand and multiplier as necessary, multiply the differences together, and do DS on the result. So, for example, let’s take 5 * 3 = 15.
5 – 9 = -4. 3 – 9 = -6. -4 * -6 = 24. 2 + 4 = 6. 1 + 5 = 6. So 5 * 3 =1 5.
I haven’t tried this with other single-digit numbers, but I figured I’d share this manipulation of the DS method for this case.