SOLUTION: Mike said that when he opened his book, the product of the page numbers of the two facing pages was 7007. Without performing any calculations, prove that he was wrong.

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Question 53085This question is from textbook Mathematics for Elementary Teachers
: Mike said that when he opened his book, the product of the page numbers of the two facing pages was 7007. Without performing any calculations, prove that he was wrong. This question is from textbook Mathematics for Elementary Teachers

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two consecutive numbers is always even. This is because one of the two page numbers has to be even. The product of any number and an even number is even. 7,007 is odd, so he's wrong. For fun you can experiment and see for yourself. 2*3=8;3*4=12;...