an number that always equals one is called the dimensional analysis.
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Any fraction to the power of 0 will always equal 1 Any fraction that has the same numerator and denominator will also equal 1
Any number divided by itself. (except for zero, which drives mathematicians nuts)
No, a reciprocal is just like any other fraction, it only equals one if both numbers in it are the same.
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One multiplied by one equals one. This is because any number that is multiplied by one equals itself. In this case, it equals one.