Multiply and divide signed numbers and interpret sign patterns correctly.
Interpret signed division in context
Problem
A debt of \(\$24\) is shared equally among \(6\) friends. Write the signed division expression, and calculate the debt per friend.
Big Picture
What this problem is really about
Represent the amount being shared as negative because it is debt, while the number of friends is a positive group count. Divide the signed total by that count to find one equal share, determining sign and magnitude separately. Multiplying the per-friend share by six should reconstruct the original total debt and confirm the interpretation.
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