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My task is to investigate a 2x2 box on a 100 square
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| Submitted: Tue Aug 26 2003
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Number Grid Coursework My task is to investigate a 2x2 box on a 100 square I will take a 2x2 square on a 100 square grid and multiply the two corners together. I will then look at the relationship between the two results, by finding the difference. Test 1 54 55 54 x 65= 3510 64 65 55 x 64= 3520 3520-3510= 10 DIFFERENCE = 10 Test 2 5 6 5 x 16= 80 15 16 6 x 15= 90 90-80= 10 DIFFERENCE = 10 Test 3 18 19 18 x 29= 522 28 29 19 x 28= 532 532-522= 10 DIFFERENCE = 10 Prediction I predict that in a two by two square the difference will always be 10 Proof 83 84 83 x 94= 7802 93 94 84 x 93= 7812 7812-7802= 10 DIFFERENCE = 10 Algebraic Explanation I will assign a letter to the first number in the 2 x 2 square, n. The next number to the right will therefore be n+1 The number directly below it will then be n+10 The number diagonally across from it will be n+11 I will then...
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