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Number Grid

Essay by   •  December 22, 2010  •  260 Words (2 Pages)  •  1,124 Views

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Number Grid Investigation

Introduction:

The coursework task is to investigate the patterns generated from using rules in a square grid. The grid provides a structured approach to learning number relationships.

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

In accordance with the task there are four steps to follow:

1. A box is drawn round four numbers [see grid above].

2. Find the product of the top left number and the bottom right number.

3. Do the same with the top right number and the bottom left number.

4. Calculate the difference between these numbers.

From the example in the above grid: [45 x 56 = 2520 - 46 x 55 = 2530] I find that the product difference for the diagonal square [2x2] is 10.

I am going to start by investigating as to whether or not the location of the 2x2 square on the grid is significant.

A. 81 x 92 = 7452 - 82 x 91 = 7462. Product difference is 10.

B. 9 x...

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