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Mathematics topic handout: Long multiplication Dr Andrew French. www.eclecticon.info PAGE 1 123 x 456 = = 40,000 8000 1200 5000 1000 150 600 120 18 --------- 56,088 18 150 1200 3 120 1000 8000 20 600 5000 000 , 40 100 6 50 400 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 Matrix method of multiplication 2 3 2 1 2 2 2 1 2 2 x x x x x x x x x 2 5 2 2 1 2 4 2 2 2 2 2 1 2 2 2 2 2 y y x xy x y x y y xy y x xy x x y x y x y x 6 11 6 6 2 2 9 3 3 3 3 3 2 3 ) 3 ( 2 1 2 3 2 2 3 2 2 x x x x x x x x x x x x x x x x x 0.15 x 17.2 = = 1.00 0.70 0.02 0.50 0.35 0.01 --------- 2.58 01 . 0 35 . 0 5 . 0 05 . 0 02 . 0 7 . 0 1 1 . 0 2 . 0 7 10 Link to algebra

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

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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 - PowerPoint PPT Presentation

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

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

123 x 456 = =

40,000800012005000100015060012018---------56,088

1815012003

1201000800020

6005000000,40100

650400Multiply 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

Matrix method of multiplication

23

21

2

2

21 22

xx

x

xxx

x

xx

252

21

2

4222

2

212 222

2

yyxxyx

yx

yyxyy

xxyxx

yx

yxyx

6116

622

933

3

3

323)3(21 232

2322

xxx

x

xxx

xxx

x

xxxxxx

0.15 x 17.2 = =

1.000.700.020.500.350.01---------2.58

01.035.05.005.0

02.07.011.0

2.0710

Link to algebra