Professor Peabody solved the problems below and then spilled coffee on some partial products.

Find the missing numbers in these multiplication problems.

  1. Solve the problems with the all-partials method.


Multiplying with the Compact Method

The problem below shows another way to multiply by breaking numbers into tens and ones. In this method, you do not write down all your steps. Since it does not take as much space, we call it the compact method.

For this method, you need to multiply from right to left. You figure out each place before moving to the next place.

Since 7 8 = 56, write 6 in the ones place on the answer line. Put a little 5 above the tens column to remember to add in 5 tens later.

Next, find 7 2 tens = 14 tens. Add the little 5, which represents 5 more tens. That makes 19 tens. To show 9 of the tens you write a 9 in the tens column. The remaining 10 tens equals 1 hundred so you write a 1 in the hundreds column.

  1. Solve the following problems using the compact method.