What is the inverse of 6?
Understand the Problem
The question is asking for the mathematical concept of the inverse of the number 6. In general, the inverse can refer to different things, but it is most commonly understood as the reciprocal in mathematics, which is calculated as 1 divided by the number.
Answer
The inverse of 6 is $\frac{1}{6}$.
Answer for screen readers
The inverse of 6 is $\frac{1}{6}$.
Steps to Solve
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Identify the Concept of Inverse The inverse, or reciprocal, of a number can be calculated by taking the number 1 and dividing it by that number.
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Calculate the Inverse To find the inverse of the number 6, we use the formula: $$ \text{Inverse of } 6 = \frac{1}{6} $$
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Express the Result The inverse of 6 can be expressed as a fraction or a decimal. As a fraction, the result remains: $$ \frac{1}{6} $$ As a decimal, it is approximately: $$ 0.1667 $$
The inverse of 6 is $\frac{1}{6}$.
More Information
The inverse is crucial in many mathematical operations, particularly in division and solving equations. The reciprocal can also be helpful in fractions and algebraic expressions.
Tips
- A common mistake is confusing the idea of an inverse with negation. Remember, an inverse for a number is its reciprocal, not its negative.
- Another mistake is to forget that the inverse of a whole number can also be expressed as a decimal or a fraction.
