Find the Opposite Number: Converting -18 to Its Inverse

Question

Convert 18 -18 into its reciprocal form:

Video Solution

Solution Steps

00:04 Let's find the inverse of a number together.
00:07 We'll use a formula for finding the inverse.
00:11 Remember, a number times its inverse gives us one.
00:15 If the result is positive, the number must be negative.
00:20 Multiplying two negatives always gives a positive result.
00:25 And dividing a negative by a negative is also positive.
00:29 Switch the numerator and denominator to find the inverse number.
00:40 And that's how we solve this problem!

Step-by-Step Solution

To solve this problem, we need to find the opposite number of 18-18.

Typically, the opposite of a number refers to its additive inverse, which would be 1818. However, based on the problem context and subject information (determine the reciprocal), we interpret the task as finding the opposite reciprocal.

  • Step 1: Identify the given number, which is 18-18.
  • Step 2: Calculate the reciprocal of 1818, the positive component. The reciprocal of 1818 is 118\frac{1}{18}.
  • Step 3: Since the original number is negative, the reciprocal also changes sign, becoming: 118-\frac{1}{18}.

Hence, the opposite number of 18-18 considering the reciprocal context is 118-\frac{1}{18}.

Therefore, the final answer is 118-\frac{1}{18}.

Answer

118 -\frac{1}{18}