Number Grid Investigation
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| Submitted: Thu Jan 13 2005
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Number Grid Investigation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 This is a simple 10 x 10 number grid. I am now going to investigate 2x2 squares on this 10x10 number grid. A B C D A, B, C and D all represent numbers in a 2x2 square, I am going to multiple the 2 diagonal numbers together and find the difference of their products. I will pick a 2x2 number square at random and investigate it: 23 24 23x34= 782 Difference = 10 33 34 24x33= 792 The difference between the two products is 10 I will now choose another 2x 2 Square to see if this pattern follows. 47 48 47x58= 2726 Difference = 10 57 58 57x48= 2736 The difference in both these 2x2 squares is 10 a pattern seems to be emerging, I will now try another 2x2 square to convince me this pattern works throughout the number grid. 86 87 86x97= 8342 Difference = 10 96 97 87x96= 8352 I am now convinced that the difference...


