Double Digit Multiplication Partial Products

Double digit multiplication involves multiplying two numbers that each have two digits, such as 23 x 45.

Partial products are the results of multiplying each digit of one number by each digit of another number, then adding those results together.

93 x 47 can be broken down into (90 x 40) + (90 x 7) + (3 x 40) + (3 x 7).

The first step is to multiply the tens place: 40 (from 43) x 30 (from 37) = 1,200.

The second step is to multiply the tens place of one number by the ones place of the other: 40 (from 43) x 7 (from 37) = 280.

The third step is to multiply the ones place of one number by the tens place of the other: 3 (from 43) x 30 (from 37) = 90.

The fourth step is to multiply the ones place of both numbers: 3 (from 43) x 7 (from 37) = 21.

Add all the partial products together: 1,200 + 280 + 90 + 21 = 1,591.

54 x 62 = (50 x 60) + (50 x 2) + (4 x 60) + (4 x 2) = 3,348.

72 x 86 = (70 x 80) + (70 x 6) + (2 x 80) + (2 x 6) = 6,192.