How to Multiply in Values in Parts? Here, we will multiply two-digit numbers in parts that we can call partial products algorithm. In this practice, we have to split two-digit numbers into two parts and multiply the parts separately. It means we are going to use distributive property here. Multiply 3 × 46 by breaking 46 into two parts that is 40 and 6. Then, we will multiply both parts by 3 separately. That is; 3 × 40 = 120, 3 × 6 = 18. By adding these two partial answers, the result will be; 120 + 18 = 138. We can use the same thing by using another method that is bundles of ten. 3 × 40 = 120, 3 × 6 = 18. In the end, we add 120 + 18 = 138. Also, use the same thing by using the example of rectangular picture. There are rectangular sides that is 8 and 24 square units. You have to illustrate the area of rectangle and divide it into two parts. The area of whole rectangle = 8 × 24 square units. We can find the requirements by calculating the areas of the two rectangles and addition. Area of the first rectangle = 8 × 20 = 160 square units. Area of the second rectangle = 8 × 4 = 32 square units. Sum of the whole rectangle = 160 + 32 = 192 square units.

This series of lessons walks us through a simple procedure that you can follow to make multiplication of two or more digits number simple. You simply pick one factor and break it into its place values. From there you multiply the place values by the original factor. Then all you need to do is sum up all the products. This can help you calculate problems quicker and more accurately. These worksheets explain how to multiply numbers by breaking them into their component parts, based on value placement. Some questions do not require a final product.