Multiplication Made Easy What is multiplication? • Rows and columns • 4 x 3= 4 groups of 3 1-same as the number; imagine it as one group of the number 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 2-double the original 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 4 4 8 5 5 10 6 6 12 7 7 14 8 8 16 9 9 18 10 10 20 4- we double the number than double again! 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 4 4 8 20 24 28 32 36 40 5 5 10 20 6 6 12 24 7 7 14 28 8 8 16 32 9 9 18 36 10 10 20 40 12 12 16 4s • If 4 x 6= 6x2x2=12+12=24 • Then 234x4=234x234=(468)x2 =936 • Try 22x4=______ 3- we double the number and then add one more set 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 5 5 10 15 6 6 12 18 7 7 14 21 8 8 16 24 9 9 18 27 10 10 20 30 Square numbers-make a diagonal on the number chart 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 6 6 12 18 24 7 7 14 21 28 8 8 16 24 32 9 9 18 27 36 10 10 20 30 40 36 49 64 81 100 Also • 11x11=121 • 12x12=144 • Try 13x13=____ 10-just add a zero 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 6 6 12 18 24 7 7 14 21 28 8 8 16 24 32 9 9 18 27 36 10 10 20 30 40 50 36 60 49 70 64 80 81 50 60 70 80 90 90 100 10s • 10x5=50 (5 and add a zero at the end) • 10x 234=2340 • Try 10 x 3456=_______ • Try 1000 x 239=_______ 5-multiply by 10 and then divide by two; all numbers end with 0 or 5 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 6 6 12 18 24 30 7 7 14 21 28 35 8 8 16 24 32 40 9 9 18 27 36 45 10 10 20 30 40 50 30 35 40 45 36 60 49 70 64 80 81 60 50 70 80 90 90 100 5s Try 5 x4= (10 x 4)/2=40/2=20 • Try 5 x32= • Try 5 x 400= 9-multiply by 10 and remove a set; the digits always add to 9 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 54 60 7 7 14 21 28 35 63 70 8 8 16 24 32 40 64 72 80 9 9 18 27 36 45 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100 49 9s • If 9x4=36 (10x4-4) • Then 9x43= ____ (10x43-43) • Try 9x290=________ • Try 9X365=________ 6x7; 6x8; 7x8= the ugly ones 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5 6 7 8 9 10 2 2 4 6 8 10 12 14 16 18 20 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 5 5 10 15 20 25 30 35 40 45 50 6 6 12 18 24 30 36 42 48 54 60 7 7 14 21 28 35 42 49 56 63 70 8 8 16 24 32 40 48 56 64 72 80 9 9 18 27 36 45 54 63 72 81 90 10 10 20 30 40 50 60 70 80 90 100 The ugly ones • 6x7=42 (e.g. 6x7=(6x6)+(6x1)) • 6x8=48 • 7x8=56 11—double the digit 1 2 3 4 5 6 7 8 9 10 11 1 1 2 3 4 5 6 7 8 9 10 11 2 2 4 6 8 10 12 14 16 18 20 22 3 3 6 9 12 15 18 21 24 27 30 33 4 4 8 12 16 20 24 28 32 36 40 44 5 5 10 15 20 25 30 35 40 45 50 55 6 6 12 18 24 30 36 42 48 54 60 66 7 7 14 21 28 35 42 49 56 63 70 77 8 8 16 24 32 40 48 56 64 72 80 88 9 9 18 27 36 45 54 63 72 81 90 99 10 10 20 30 40 50 60 70 80 90 100 110 11 11 22 33 44 55 66 77 88 99 110 121 12 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 2 2 4 6 8 10 12 14 16 18 20 22 24 3 3 6 9 12 15 18 21 24 27 30 33 36 4 4 8 12 16 20 24 28 32 36 40 44 48 5 5 10 15 20 25 30 35 40 45 50 55 60 6 6 12 18 24 30 36 42 48 54 60 66 72 7 7 14 21 28 35 42 49 56 63 70 77 84 8 8 16 24 32 40 48 56 64 72 80 88 96 9 9 18 27 36 45 54 63 72 81 90 99 108 10 10 20 30 40 50 60 70 80 90 100 110 120 11 11 22 33 44 55 66 77 88 99 110 121 132 12 12 24 36 48 60 72 84 96 108 120 132 144 Challenge Videos to Increase Speed • Breaking down multiplication: • http://www.youtube.com/watch?v=wUiBibMbzo Y • Be a Human Calculator: • http://www.youtube.com/watch?v=rf3_36a9MW c • http://www.youtube.com/watch?v=Et_VJAA_fuE • http://www.youtube.com/watch?v=PYrgjMubh-c • http://www.youtube.com/watch?v=7X85-tylGTQ