Math Problem Statement

Multiplicative inverse of -7/8

Solution

The multiplicative inverse (or reciprocal) of a number is the value that, when multiplied by the original number, results in 1.

To find the multiplicative inverse of 78-\frac{7}{8}:

Multiplicative inverse of 78=87\text{Multiplicative inverse of } -\frac{7}{8} = -\frac{8}{7}

Thus, the multiplicative inverse of 78-\frac{7}{8} is 87-\frac{8}{7}.

Would you like more details on how the inverse works or have any other questions?

Here are some related questions:

  1. What is the multiplicative inverse of a whole number?
  2. How do you find the multiplicative inverse of a fraction?
  3. Can negative numbers have multiplicative inverses?
  4. What happens when you multiply a number by its inverse?
  5. How is the multiplicative inverse related to division?

Tip: Multiplying any number by its inverse will always give 1.

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Math Problem Analysis

Mathematical Concepts

Multiplicative Inverse
Fractions

Formulas

Multiplicative inverse of a fraction a/b is b/a

Theorems

Multiplicative inverse property: a * (1/a) = 1

Suitable Grade Level

Grades 6-8