Chapter 4.6, Problem 10P

a. Use the partial-products and common methods to calculate $43\times 275.$

b. Draw a large rectangle to represent an array for $43\times 275.$ Subdivide the rectangle in a natural way so that the parts of the rectangle correspond to the steps in the partial-products method.

c. On the rectangle that you drew for part (b), show the parts that correspond to the steps in the common method.

d. Solve $43\times 275$ by writing equations that use expanded forms and the distributive property. Relate your equations to the steps in the partial-products method.