Millie borrowed $20 from her dad. Explain why this situation indicates a negative number for Millie even though $20 is a positive number.

1 answer

In this situation, Millie borrowing $20 from her dad can be represented using positive and negative numbers in the context of personal finances. Even though the amount borrowed is $20 (a positive number), it indicates a debt for Millie, which is represented as a negative number.

Here’s the reasoning:

  1. Positive vs. Negative Numbers: Positive numbers typically represent assets or things you own (like cash in your pocket), while negative numbers represent liabilities or debts (like money you owe).

  2. Millie's Financial Position: When Millie borrows $20, she gains access to that amount of money, but she also incurs a responsibility to pay it back. In mathematical terms, if we consider her net worth or balance:

    • If she had $0 before borrowing, her balance after borrowing $20 would be +$20 (an asset).
    • However, since she owes her dad $20, we need to account for that debt, which would be represented as -$20.
  3. Net Worth Calculation: Therefore, her net worth or financial situation can be expressed as:

    • Net Worth = Assets - Liabilities
    • In this case, if Millie has $20 in cash (asset) and owes $20 (liability), her net worth would be calculated as:
      • Assets (+$20) - Liabilities (-$20) = $0.
  4. Conclusion: So, even though Millie has received $20 (a positive transaction), the fact that it is a loan leads to a negative representation of her financial situation regarding that money. In simpler terms, the borrowing creates an obligation that offsets the positive amount, evidencing why we can consider her financial status in this case as involving negative values.