How To Do The Egyptian Multiplication Method

This method is still used in many rural communities in Ethiopia Russia the Arab World and the Near East. The Ancient Egyptians used an interesting way to multiply two numbers.

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You take one number and either multiply it by 2 or you add it to itself.

How to do the egyptian multiplication method. Lets look at how to multiply 31 x 42 using this method. Write down 2 in the work area to the left of 2 you wrote down in your work area and carry the 3. 1 7 3 1.

You can multiply two numbers if you know how to double halve and add up numbers. The ancientEgyptiansmultiplied using a method that involved breaking down the multiplication into a series of additions then doubling one of the factors putting them into powers of 2. The algorithm draws on the binary system.

Add the right column values that match up with Step 2. Now multiply 2 times 5 to equal 10. First of all we need to place 1 and 31 and start doubling the two quantities.

Basically the Egyptians were using binary mult. They used addition to get the answer to a multiplication problem. During each set of multiplying A and dividing B if the value of B is an odd number you add whatever the A value is to a total.

This is really interesting. For example to work out 24 x 12 they would spread out the 12 into 4 8. 12 x 24 24 x 12.

Youll have to carry the extra 1 in the tens place over the 7. How to multiply two numbers together using a simple visual lines diagram technique. Doubling does just what it sounds like.

To work out 23 x 745 they would spread out the. On the left repeated subtraction of the largest possible power of 2 is presented. How to multiply 43 x 92.

Japanese multiplication maths trick. 6th grader Pablo makes his Mathtrain debut showing us the Egyptian Method of Multiplication. A student-created tutorial from MathtrainTVMathtrainTV is.

Perfect to help anyone struggling wi. The term that we use with Egyptian Multiplication is called Doubling. 24 x 4 8 24 x 4 24 x 8 96 192.

Multiply 7 x 1 7. Multiply the number in the ones place of the bottom number by the number in the tens place of the top number. Unlike the Russian Peasant Multiplication that determines the involved powers of 2 automatically the Egyptian algorithm has an extra step where those powers have to be found explicitly.

Add the carried 4 to this sum to get a new sum 32 4 28 32. Lets use Ahmess method to calculate 17 31. Select values on the left that add to the number of times we want to multiply.

Another fantastic video from wwwMathsMasterOrg. Construct a table of doubles starting with 1 1 1 on the left and the number to be multiplied on the right. The sum of the powers of two is required in ancient Egyptian multiplication by havling and doubling.

Add the 1 you carried over above the 5 to 10 to equal 11 and then write a 1 next to the 2 in the bottom row. Dating back to Ancient Egypt this method does not require memorization of all multiplication tables It relies only on the ability to add and mulptiply by 2. Multiplication by 2 or just adding a number two itself.

At the end the sum of all the A values when B is odd should be equal to the product of the original A and B inputs. On the right the numbers are represented in modern binary notation and below that as the sum of the powers of two. The Egyptian method works by spreading out distributing the multiplication and then adding the products.

The algorithm draws on the binary system. The ancient Egyptians used a curious way to multiply two numbers. Divide X in half repeatedly ignoring remainders until you get to 1.

This method is still used in many rural communities in Ethiopia Russia the. The Steps to Egyptian Method Russian Peasant Multiplication To multiply numbers X and Y the steps are.

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