# Egyptian Multiplication Method

Learn how to use the ancient Egyptian method of multiplication based on doubling and addition to solve mathematical problems like 18 x 53.

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1. www.numeracysoftware.com Egyptian Multiplication The Ancient Egyptians used a pencil and paper method for multiplication which was based on doubling and addition.

2. www.numeracysoftware.com 18 x 53 using Egyptian Multiplication Write 1 and 53, meaning 1 lot of 53. 1 53 2 106 4 212 8 424 16 848 Work down, doubling the numbers, so that you’ve now got 2, 4, 8, 16, etc. lots of 53. Stop when the number of the left (16) is more than half of the other number you are multiplying (18). Look for numbers on the left that add up to 18 (2 and 16). Cross out the other rows of numbers. Add up the remaining numbers on the right to get the final answer. 954

3. www.numeracysoftware.com 1 76 2 152 76 x 39 using Egyptian Multiplication Write 1 and 76, meaning 1 lot of 76. 4 304 8 608 16 1216 Work down, doubling the numbers, so that you’ve now got 2, 4, 8, 16, etc. lots of 76. Stop when the number of the left (32) is more than half of the other number you are multiplying (39). Look for numbers on the left that add up to 39 (1, 2, 4 and 32). Cross out the other rows of numbers. Add up the remaining numbers on the right to get the final answer. 2964 32 2432

4. www.numeracysoftware.com Now it’s your turn! This jar holds 17 litres of water. How much water will 26 jars hold? A potter makes 35 pots each week. How many will he make in a year? This chariot travels 23km in an hour. How far will it travel in 45 hours?

5. www.numeracysoftware.com Now it’s your turn! A soldier marches 28km each day. How far will he march in 38 days? A chest holds 44 large gold coins. How many coins will 35 chests hold? This boat carries 61 soldiers. How many soldiers are there on 26 boats?

6. www.numeracysoftware.com END OF PRESENTATION