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Give the reciprocal of each number. See Section 1.1 $$-3$$

   Give the reciprocal of each number. See Section 1.1
$$-3$$

Beginning Algebra

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 5, Problem 98

Instant Answer

Solved by Expert Brandon Fox

06/19/2020

Step 1

We can write this as a fraction by putting it over 1. So, -3 can be written as $$-\frac{3}{1}$$. Show more…

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Give the reciprocal of each number. See Section 1.1 $$-3$$

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Key Concepts

Reciprocal

The reciprocal of a number is its multiplicative inverse; it is the number that, when multiplied by the original number, yields 1. This operation involves dividing 1 by the number in question and is defined for all nonzero numbers.

Multiplicative Inverse

The concept of the multiplicative inverse is fundamental in algebra. It allows you to 'undo' multiplication by a number, similar to how one may reverse an operation by using its inverse. In practice, finding the multiplicative inverse involves dividing 1 by the number, enabling simplification of fractions or solving equations.

Negative Numbers

Negative numbers are values less than zero and follow specific arithmetic rules involving sign. When taking the reciprocal of a negative number, the result remains negative because the sign is preserved during the operation, ensuring consistency with the algebraic structure of real numbers.

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