2 Digit by 2 Digit Multiplication with Grids Worksheets
As you will see, all of the products on these worksheets are set into vertical orientation within a grid pattern. This can be very helpful to keep students organized throughout the process of solving these multiplication problems. It is also beneficial for them to see this as they may choose to reformat problems that they come across by using a grid. All of these multiplication problems involve integers that contain two-digits. So they fall somewhere between 10 and 99. With this series of lessons and worksheets students learn how to multiply two-digit values together.
Aligned Standard: 4.NBT.B.5
- Grid Style Step-by-Step Lesson- The grids are there to be a guide, but also to allow you space to stretch out with.
- Guided Lesson - Boy, there is a lot of room to work with here.
- Guided Lesson Explanation - Everything draws back to place values and carrying.
- Matching Sheet - What operations created these products?
- Practice Worksheet - Let me know if this one continuous grid worked for you.
- Double Times Double Digit Multiplication 5 Pack - This one will keep you busy for a few.
- Two Digit with Single and Two Digit Multiplication 5 Pack - If students are having trouble, you can revert back to this one.
- Double Digit Multiplication Boxes - This is helpful for kids that organizational issues and fall off task.
- Double Digit Multiplication (No Grid) Grouping Lesson - Three rather long steps to solving this lesson.
- Rapid Fire Double Digit Multiplication Worksheet - Not so mental math. Twenty-five problems span over a grid.
- Answer Keys - These are for all the unlocked materials above.
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.
How Does Multiplying in a Grid Help You?
Multiplication is a simple process to execute if thoroughly learned once. However, multiplication operations 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, where 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 operations 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 with the lines of the grid. For example, in a operation of 614 x 345, we break the number 614 in 600, 10, and 4 with the help of the grid. 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. While it is not required that you use a grid to multiply two values, it is very helpful for keeping you organized and on task. This often results in much faster response time when forming solutions to problems.