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An Advertisement for Algebra!
ALGEBRAIC THINKING An Advertisement for Algebra!
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Pick 2 positive integers and form the following list of 6 values
First number chosen. Second Number chosen. The sum of the two numbers. Twice the sum of the two numbers. Add lines 3 and 4. Repeat the result of line 5.
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33 11 44 88 132 An Example with 33 and 11 First number chosen.
Second Number chosen. The sum of the two numbers. Twice the sum of the two numbers. Add lines 3 and 4. Repeat the result of line 5.
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TRY IT WITH THESE 123456 654321 777777 You will amaze your friends when you can quickly add up these numbers!
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The Secret to quickly adding these up – it’s 10 times line 3
STEP NUMBER 1 X 2 Y 3 X+Y 4 2(X+Y)=2X+2Y 5 3X+3Y 6 TOTAL 10X+10Y=10(X+Y)
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