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ALGEBRAIC THINKING An Advertisement for Algebra! Pick 2 positive integers and form the following list of 6 values 1. 2. 3. 4. 5. 6. 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. An Example with 33 and 11 1. First number chosen. 2. Second Number chosen. 3. The sum of the two numbers. 4. Twice the sum of the two numbers. 5. Add lines 3 and 4. 6. Repeat the result of line 5. 33 11 44 88 132 132 TRY IT WITH THESE You will amaze your friends when you can quickly add up these numbers! 1. 123456 2. 654321 3. 777777 4. 1555554 5. 2333331 6. 2333331 The Secret to quickly adding these up – it’s 10 times line 3 STEP 1 2 3 4 5 6 TOTAL NUMBER X Y X+Y 2(X+Y)=2X+2Y 3X+3Y 3X+3Y 10X+10Y=10(X+Y)