Friday, September 9, 2011

After the 9-8 quiz

Given the number 23, write an equation which relates it to its reciprocal and the identity element for multiplication.

The number is 23, the reciprocal is 1/23, the identity element for multiplication is 1, because 23 * 1 = 23, the identical number.
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23 times 1/23 is 1
23 * (1/23) = 1
1/23 is the reciprocal or multiplicative inverse of 23



Given the number 23, write an equation which relates it to its opposite and the identity element for addition.

The number is 23, the opposite is -23, the identity element for addition is 0, because 23 + 0 = 23, the identical number.

23 added to -23 is zero
23 + (-23) = 0
-23 is the opposite or additive inverse of 23

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