Question

a. Use the partial-products and common methods to calculate 27 × 28.

b. On graph paper, draw an array for 27 × 28. If graph paper is not available, draw a rectangle to represent the array rather than drawing 27 rows with 28 items in each row. Subdivide the array in a natural way so that the parts of the array correspond to the steps in the partial-products method.

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

d. Solve 27 × 28 by writing equations that use expanded forms and the distributive property. Relate your equations to the steps in the partial products method.

Answer 1

a) The partial product method is attached below.

b)The array represented in the rectangle is shown below.

Produchs 0 0111001140 160 56 Steps Split 7 to T 2. split ag to RD 3 Multiply each cell wt

90 x 0 = 160

c) Its already shown in fig (b)

Another example

Array Representation of 3 x 28 20 8 3 x 2060 3 x 29

d)