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Mathematics topic handout: Long multiplication Dr Andrew French. eclecticon PAGE 1

Matrix method of multiplication. Multiply decimals without confusion by firstly converting to integers e.g. 0.0123 x 0.456 = 123 x 10 -4 x 456 x 10 -3 = 123 x 456 x 10 -7 Use matrix method to find 123 x 456 = 56,088 Answer is therefore 56,088 x 10 -7 = 0.0056088

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Mathematics topic handout: Long multiplication Dr Andrew French. eclecticon PAGE 1

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  1. Matrix method of multiplication Multiply decimals without confusion by firstly converting to integers e.g. 0.0123 x 0.456 = 123 x 10-4 x 456 x 10-3 = 123 x 456 x 10-7 Use matrix method to find 123 x 456 = 56,088 Answer is therefore 56,088 x 10-7 = 0.0056088 Or just take care with the decimal point and use the matrix method as before 40,000 8000 1200 5000 1000 150 600 120 18 --------- 56,088 123 x 456 = = Link to algebra 1.00 0.70 0.02 0.50 0.35 0.01 --------- 2.58 0.15 x 17.2 = = Mathematics topic handout: Long multiplication Dr Andrew French. www.eclecticon.info PAGE 1

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