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Number Grid.

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Introduction

Number Grid. Using the following rule: find the product of the top left and bottom right number in a square. Do the same thing with the bottom left and top right. Calculate the difference. Investigate. To start this investigation I used a number grid from which I could take a box out and use to find the differences. 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 ...read more.

Middle

85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 This grid contains one variable, The fact that the box, contained inside the grid is a square. For each example I will show that I worked out the differences both by using the existing maths I knew and by using a formula, which I devised. Existing Maths/Multiplication. 13 ? 22 = 286 12 ? ...read more.

Conclusion

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 For this example I used a 4 ? 4 square. This could be classed as changing a variable but it is not as it is changing the value of a variable. Multiplication 17 ? 44 = 748 14 ? 47 = 658 ...read more.

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