How to Multiply Using the Line Method

By eHow Education Editor

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A quick and easy way that you can multiply two-digit numbers is by using a graphical multiplication process known as the line method. While you can't determine the answer to the problem as quickly as when you use a calculator, this method is much more interesting. The steps below will guide you in multiplying using the line method.

Instructions

Difficulty: Moderately Easy

Things You’ll Need:

  • Graph paper
  • Pencil or pen

Step1
Use 34 times 16 to learn the line method using these instructions. Write the multiplication problem at the top of your graph paper.
Step2
Draw horizontal lines on the graph paper for the first number and vertical lines for the second number, making sure all of the lines are long enough to intersect each other. Leave a few rows blank between the lines for each digit. For example, for the problem 34 times 16, draw three horizontal lines, skip a couple of rows, and draw four horizontal lines. Then draw one vertical line, skip a couple of rows and draw six vertical lines.
Step3
Count the number of times the lines intersect in the upper left corner of the graph, as four corners should appear from the intersected lines. In this example, there are three intersections in the upper left corner. Do the same for the lower right corner of the graph. This example has 24 intersections in the lower right corner.
Step4
Total the remaining intersection in the graph (the upper right and lower left corners), which should be 22. Write out the intersection numbers in order: 3, 22 and 24.
Step5
Remove the two from digit 24 and add it to digit 22. When an area of the graph has intersections higher then nine, the number in the tens space is added to the number before it on the list and removed from its previous number. The numbers should now read 3, 24 and 4.
Step6
Repeat Step five regarding the new digit 24. Remove the two and add it to digit 3. The numbers should now read 5, 4 and 4.
Step7
Answer the multiplication problem. You have your answer when all three intersection numbers are less than nine. Therefore, the answer to the multiplication problem of 34 times 16 is 544.

Tips & Warnings

  • Add ease to counting the intersections by drawing a circle at each one.

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eHow Article:  How to Multiply Using the Line Method

eHow Education Editor

eHow Education Editor

Category: Education

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