For example, to multiply four-digit numbers, instead of needing 4 2 = 16 multiplications, Karatsuba's method gets away with only nine. When using his method, twice as many digits means only three ...

For example, to multiply four-digit numbers, instead of needing 4 2 = 16 multiplications, Karatsuba’s method gets away with only nine. When using his method, twice as many digits means only three ...

This article reveals a simple and effective shortcut for multiplying numbers that end in 5. Perfect for students, it breaks down the trick for both single-digit and double-digit numbers ending in ...