Question
W. A positive balance means there is money in the account. A negative balance represents debt. Ravi: \( |-s 0|=\square \) (a) Fatoya: \( |-44|=\square \) Lato the absolute value of the account balance for each person. (b) Which person has a larger debt? Neither has a larger debt.
Ask by Robbins Mann. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Fatoya's absolute value is 44. Assuming Ravi's balance is also 44, neither has a larger debt.
Solution
Let's break down the problem step by step.
1. **Understanding Absolute Value**:
- The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative number.
- Mathematically, the absolute value of \( x \) is denoted as \( |x| \).
2. **Calculating Absolute Values**:
- For Ravi, the expression given is \( |-s 0| \). However, it seems there might be a typo or misunderstanding in the expression. Assuming \( s \) is a variable representing a negative balance, we can interpret it as \( |s| \) if \( s \) is negative.
- For Fatoya, we have \( |-44| \).
Now, let's calculate the absolute values:
(a) **Calculating Fatoya's Absolute Value**:
\[
|-44| = 44
\]
So, Fatoya's absolute value is \( 44 \).
(b) **Determining the Larger Debt**:
- Since we don't have a specific value for Ravi's balance, we can only conclude that if \( s \) is negative, then \( |s| \) will be a positive value representing the amount of debt.
- If \( |s| < 44 \), then Fatoya has a larger debt. If \( |s| > 44 \), then Ravi has a larger debt. If \( |s| = 44 \), then they have equal debts.
Since the statement says "Neither has a larger debt," it implies that Ravi's debt must be equal to Fatoya's debt, which means \( |s| = 44 \).
In conclusion:
- Fatoya's absolute value is \( 44 \).
- Ravi's absolute value is also \( 44 \) (assuming \( s = -44 \)).
- Therefore, neither has a larger debt; they are equal.
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Extra Insights
Ravi's expression \( |-s 0| \) simplifies to \( 0 \) since the absolute value of zero is always zero, meaning he has no balance or debt at that moment. Fatoya's calculation \( |-44| \) yields \( 44 \), indicating that she has a debt of 44. When comparing the two, neither person has a larger debt than the other; however, Fatoya is the only one with a debt while Ravi remains at zero.