Find the Opposite Number: Converting -18 to Its Inverse

Convert 18 -18 into its reciprocal form:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Convert 18 -18 into its reciprocal form:

2

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}.

3

Final Answer

118 -\frac{1}{18}

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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