\begin{tabular}{|l|l} Find the reciprocal of 6. & \( \begin{array}{l}\text { The reciprocal of } 6 \text { is } \square . \\ \text { (Simplify your answer.) }\end{array} \)\end{tabular}
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The reciprocal of 6 is \( \frac{1}{6} \). This means that if you multiply 6 by its reciprocal, you'll get 1, which is the defining property of reciprocals. So, \( 6 \times \frac{1}{6} = 1 \). Reciprocals are super useful in math, especially when you're dealing with fractions or division. For instance, if you need to divide by a number, you can multiply instead by its reciprocal. So instead of computing \( x \div 6 \), you could simply calculate \( x \times \frac{1}{6} \)!
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