What is Long Multiplication? We all know that multiplication and addition are related. To make these operations easier, most of us learn times table by heart. These times tables help us in solving many two number product and help us learn how to work with larger numbers. For instance, you can easily answer 2x 3= 6, but for 14 x 34 or 234x 44, you need a different approach. Below we have discussed some tips to ease these types of problems: - First, write a larger number over the smaller number. Make sure that the tens, units columns of both the numbers line up. For example, you are given to solve 456 into 89. You write 6 of 456 over 9 of 89. Similarly, 5 of 456 will be written over 8 of 89. - Start multiplying the units of the smaller number with the larger number. In this case, multiply 9 with the unit place of 456. Continue the same method with the tenth place of a smaller number. - Remember when multiplying with the tenth place of smaller number start with a zero. - Once you have multiplied the smaller with all three places of the larger number, add your answers. The addition works the same in this case. Start adding numbers from the unit place and proceed to the hundredth place. We will use this process when multiplying very large numbers. Say for example we want to multiply 463 by 32. We start by multiplying 463 and 2 (the ones place of the multiplier) this gives us 926. We then multiply 463 by 30 (the remaining tens value). To do this we start the products value off with a zero in the ones place, to make it easier. Then we just multiply 463 by 3 (1,389) and put it on the front of that zero which results in 13,890.

These worksheets explain how to do long form multiplication. In addition to multiplying three- and four-digit numbers, students will also learn how to estimate answers and determine decimal placement.