Question

you check one of the supplier accounts and notice a balance of -$17.90, meaning the truck owes money to this supplier. meanwhile, another account has $5.10 available. which statement correctly compares these amounts and their absolute values? $5.10 is greater than -$17.90, but the absolute value of -17.90 is greater than the absolute value of 5.10. the value -$17.90 is greater than $5.10 because it has a greater number. the absolute values of $5.10 and -$17.90 are equal. the value -$17.90 is greater than $5.10 because it represents a greater debt.

Explanation:

Step1: Recall number - comparison rules

Positive numbers are greater than negative numbers. The absolute value of a number \(a\), denoted as \(|a|\), is the non - negative value of \(a\). For \(a = 5.10\), \(|5.10|=5.10\), and for \(a=-17.90\), \(|-17.90| = 17.90\).

Step2: Compare the original numbers

Since \(5.10> - 17.90\) (a positive number is greater than a negative number).

Step3: Compare the absolute values

\(|-17.90|=17.90\) and \(|5.10| = 5.10\), so \(|-17.90|>|5.10|\).

Answer:

A. $5.10$ is greater than $- 17.90$, but the absolute value of $-17.90$ is greater than the absolute value of $5.10$.