Chapter 4.6, Problem 12P

The lattice method is a technique that is sometimes used for multiplication. Figure 4.40 shows how to use this method to multiply a 2-digit number by a 2-digit number

 

    Figure 4.40 Using the lattice method to show that $23\times 47=1081$

a. Use the lattice method to calculate $38\times 54$ and $72\times 83.$

b. Use the partial-products method to calculate $38\times 54$ and $72\times 83.$ .

c. Explain how the lattice method is related to the partial products method.

d. Discuss advantages and disadvantages of using the lattice method.