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## 2 Digit by 2 Digit Multiplication with Grids

#### Grade 4 Operations - 4.NBT.B.5

How Does Multiplying in a Grid Help You? Multiplication is a simple process to execute if thoroughly learned once. However, multiplication sums involving three or more digits can be a bit difficult to solve quickly. There are many situations where you can be prompted to produce quick answers to such questions. For example, during an aptitude test, there is a tight time constraint, and people need to come up quickly with answers to this type of difficult questions. For that purpose, people have come up with easy ways and tricks of solving difficult multiplication and other sums. The method of solving complex multiplication sums under discussion is known as 'Grid method multiplication'. During a multiplication question being solved by grid method multiplication, larger numbers are broken down in their place values. For example, in a sum of 614 x 345, we break the number 614 in 600, 10, and 4. Similarly, the number 345 gets broken down in 300, 40, and 5. After doing that, we put these numbers in a grid form such that the first row and column gets the digits of the largest place value, 600 and 300 in this case. Then in the second row and column, we write the digits of the second largest place value (10 and 40 in this case) and then so on. After that, we multiply the values of the same rows and columns and write their answers in their corresponding boxes. These answers are then added to get the final answer. It is an easy way to solve difficult multiplication questions, and by using it, one can get a quick answer to such a question in a very tight deadline. With these series of lessons and worksheets students learn how to multiply two-digit values together.

### Printable Worksheets And Lessons  #### Homework Sheets

I'm reworking the grids on these to make them more useful. It is difficult to find a layout that works the entire page.

• Homework 1 - Multiply the numbers inside the grid that is offered up. A sample exercise is worked for you here.
• Homework 2 - Start by working off of the bottom right number. Use the grid to help you keep track of place values.
• Homework 3 - Remember your place values as you move through these. The rows and columns make it very easy.

#### Practice Worksheets

I like to use these to introduce the material. There is plenty of room to work it.

• Practice 1 - Find the final value of the following problem. The x is there to be a place holder for you.
• Practice 2 - If a zero is present, drop your place value holder.
• Practice 3 - Make sure to carry over values to the tens place as needed.

#### Math Skill Quizzes

We get a great deal of praise on these quizzes. I always found that grids never copies well, but that was five years ago.

• Quiz 1 - You can represent zeroes with variables as well. A thick solid line is present for you.
• Quiz 2 - Products act as an extended form of addition. You should only need to two rows to work with here.
• Quiz 3 - Don't forget to push the values to the next column.