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Number Grid This investigation is based on finding rules for differences. The investigation: Start with a number grid 10 long. Multiply the top left hand number by the bottom right hand number. Multiply the top right hand number by the bottom left hand number. Find the difference. (This means take away the smallest value from the largest value) Investigate In the grid below; Top left hand number = 13 Bottom right hand number = 24 Top right hand number = 14 Bottom left hand number = 23 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 . . . . . . . . . . . . . . . . . . . . So, 13 x 24 = 312 14 x 23 = 322 Difference is largest - smallest = 322 - 312 = 10 Try another 2 x 2 square 56 57 66 67 So, 56 x 67 = 3752 57 x 66 = 3762 Difference is largest - smallest = 3762 - 3752 = 10 (same as above) (Could try another example here but the difference will be 10) Move to the general case to see if the answer for a 2 x 2 grid is always 10 (general...

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