Image caption, The area method could be used to work out how much turf is needed. A landscape gardener might use multiplication to work out the total area of turf needed for a new lawn.

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 ...

These days, many elementary school students learn to multiply using the "box method ... The box method makes this immediately clear, while the traditional method muddles this simple fact up ...

Image caption, The area method could be used to work out how much turf is needed. A landscape gardener might use multiplication to work out the total area of turf needed for a new lawn.