Question
A positive balance means there is money in the account. A negative balance represents debt. (a) Find the absolute value of the account balance for each person. Ravi: \( |-80|=\square \) Latoya: \( |-44|=\square \) (b) Which person has a larger debt? Ravi Latoya Neither has a larger debt.
Ask by Adkins Chan. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**(a)**
Ravi: \( |-80| = 80 \)
Latoya: \( |-44| = 44 \)
**(b)**
Ravi has a larger debt.
Solution
**(a)**
For Ravi, the absolute value is calculated as:
\[
|-80| = 80
\]
For Latoya, the absolute value is:
\[
|-44| = 44
\]
**(b)**
Since Ravi's absolute value \(80\) is greater than Latoya's \(44\), Ravi has a larger debt.
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Simplify this solution Bonus Knowledge
The absolute value represents the magnitude of a number, regardless of its sign. For Ravi, the calculation \( |-80| = 80 \) means he has a debt of $80. Latoya's \( |-44| = 44 \) indicates her debt is $44. So while they both have debts, Ravi's debt is larger. In comparing debts, Ravi's $80 outweighs Latoya's $44, making him the one with the larger debt. It's always helpful to remember that absolute values strip away the negatives, allowing us to directly see the size of the debt without focusing on the fact that it's a deficit.
