Answered

Evaluate the expression.

$\frac{-4(-2)}{-6}$



Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$\frac{-4(-2)}{-6}=$ ___ (Type an integer or a simplified fraction.)
BThe expression is undefined.

Verified Answer :

  • Calculate the numerator: \((-4) \times (-2) = 8\).
  • Simplify the fraction: \(\frac{8}{-6} = -\frac{4}{3}\).
  • Choose option A: \(\frac{-4(-2)}{-6} = \boxed{-\frac{4}{3}}\).

Explanation

  1. Analysis of the Expression

The expression to evaluate is \(\frac{-4(-2)}{-6}\). The numerator is a product of two negative integers, \(-4\) and \(-2\). The denominator is a single negative integer, \(-6\). The problem asks for a simplified integer or fraction value.

  1. Simplifying the Numerator

First, compute the numerator: \((-4) \times (-2) = 8\). Since the product of two negative numbers is positive, this step is straightforward. Now the expression becomes \(\frac{8}{-6}\).

  1. Final Simplification

Finally, simplify the fraction \(\frac{8}{-6}\). Dividing both the numerator and the denominator by their greatest common divisor, which is \(2\), gives \(\frac{8 \div 2}{-6 \div 2} = \frac{4}{-3} = -\frac{4}{3}\). Thus, the correct choice is A, and the value is \(-\frac{4}{3}\).

Examples

When calculating net changes in inventory where negative values represent items removed from stock, understanding the division of signed numbers helps in determining average rates of change. For example, if you remove 4 units of a product twice (totaling -8) and you distribute this change across 6 accounting periods of negative growth (-6), you can determine the average effect using the division of signed integers. This helps in balancing records and financial reporting.

Related Questions