For example, to multiply four-digit numbers, instead of needing 4 ² = 16 multiplications, Karatsuba's method gets away with only nine.

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 ...

You can use different methods to multiply a two-digit number by a one-digit number in your head. Multiplying by 2 is the same as doubling. 27 × 2 = 54 You can visualise this using place value ...