To solve for the multiplicative inverse of a number in Algebra 2, you simply take the reciprocal of that number. For a non-zero number ( a ), its multiplicative inverse is ( \frac{1}{a} ), since multiplying ( a ) by its inverse yields 1 (i.e., ( a \times \frac{1}{a} = 1 )). This concept is crucial when solving equations that involve fractions or when factoring expressions. Always remember that the multiplicative inverse is not defined for zero.
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