Multiplication Methods Leicestershire County Council Pauline Kilbride Leicestershire County Council
Topic Aims Method Equipment Duration Level Hidden Multiplication Methods Aims To highlight a range of multiplication methods A hand-out at the end of the topic or an introduction to each method May use only the grid method as this will be used in Primary School Level Key Stage 2 Method Hand out at the end of the topic. Useful for revision. Equipment Hand-outs Duration Hidden
Multiplication Methods x 100 20 3 60 6000 1200 180 9 900 27 6900 1380 Grid Method This involves breaking the number down into its constituent parts and multiplying these together. It is a useful method because it reinforces place value. 123 x 69 x 100 20 3 60 6000 1200 180 9 900 27 6900 1380 207 6900 + 1380 + 207 = 8487 To Print 2766 x 476 x 2000 700 60 6 400 800000 280000 24000 2400 70 140000 49000 4200 420 12000 360 36 952000 333200 28560 2856 952000 + 333200 + 28560 + 2856 = 1316616
Multiplication Methods 1793 x 943 x 1000 700 90 3 900 900000 630000 81000 2700 40 40000 28000 3600 120 3000 2100 270 9 943000 660100 84870 2829 943000 + 660100 + 84870 + 2829 = 1690799 To Print
Multiplication Methods Doubling Method This involves starting with 1 x ? and doubling both sides of the sum until you have sufficient lots of the number to solve the sum. It is useful because children learn to double numbers from an early stage and become very confident in this. 17 x 250 1 x 250 = 250 2 x 250 = 500 4 x 250 = 1000 8 x 250 = 2000 16 x 250 = 4000 There is no need to go any further as doubling 16 is more than I need. 1 x 250 = 250 + 16 x 250 = 4000 17 x 250 = 4250 35 x 122 1 x = 122 1 x = 122 2 x = 244 + 2 x = 244 4 x = 488 + 32 x = 3904 8 x = 976 35 x = 4270 16 x = 1952 32 x = 3904 To Print
Multiplication Methods 1 7 2 3 4 6 9 8 5 Lattice Method 1723 x 2947 1723 x 2947 1 7 2 3 4 6 9 8 5 To Print Answer 5077681 Blue figures are carried forward
Multiplication Methods Russian Peasant Method 27 x 133 27 x 133 Half one side and double the other until the side being halved reaches zero. 27 – 133 13 – 266 (if a number does not half to give a whole number round down to the next whole number) 6 – 532 3 – 1064 1 – 2128 Add up all the answers where the halved number was an odd number. 133 + 266 + 1064 + 2128 = 3591 48 x 125 48 – 125 24 – 250 12 – 500 6 – 1000 3 – 2000 1 – 4000 2000 + 4000 = 6000 To Print
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