Question 225400: why is it when a odd number is added to an odd number its always even, and when a odd number is multilied by a odd number its always odd.
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Lets just look at the visual representations
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Addition,,,,0+0=00,,000+000=000000,,00000+00000=0000000000,, in short when we increment an odd number on top of an odd number ,,,it will be even.
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If this was multiplication this would be an odd number taken an even number of times,,,(2)
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Multiplication,,,,is repeated addition,,,but
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1*1 = 0,,,,,
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3*3 = 000
,,,,,,000
,,,,,,000,,,,,,,,,or the summation of an odd number by and odd number of sets.
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5*5,,,,=,,,,00000
,,,,,,,,,,,,00000
,,,,,,,,,,,,00000
,,,,,,,,,,,,00000
,,,,,,,,,,,,00000,,,,,again an odd number taken an odd number of times
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Hopefully this "adds" some insight... Please review several times.
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