To determine which scenarios match the expression -(4/5) divided by -(1/5), we are looking for situations where we can interpret the problem in terms of comparing two negative quantities, specifically how many times one negative quantity is greater than another negative quantity.
Let's analyze each scenario:
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Gina's scenario: Caracas is 4/5 of a foot below the equator (negative) and Lima is 1/5 of a foot below the equator (negative). The question asks how many times farther below the equator Caracas is than Lima.
- This relates to the expression: \(-(4/5) \div -(1/5)\). This scenario matches.
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Whale shark scenario: A whale shark can dive to a depth of 4/5 of a mile below zero (negative), and the record for a human diver is 1/5 of a mile below zero (negative). The question asks how many times deeper the whale shark can dive than a human.
- This also relates to the expression: \(-(4/5) \div -(1/5)\). This scenario matches.
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Vince's English paper scenario: Vince is writing an English paper that needs to be 4/5 of a page long (not negative), and he has written 1/5 of a page (not negative). The question asks how much more of a page he needs to write.
- This does not relate to the expression concerning negative quantities. This scenario does not match.
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Bruce's uncle scenario: Bruce's uncle is at a depth of 4/5 of a mile below sea level (negative), and he has gone 1/5 of a mile below sea level (negative). The question asks how much deeper he is going to go.
- This could relate to the expression but more so regarding the difference in depth rather than how many times deeper. This scenario does not match.
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Gavin's dog scenario: Burt is 4/5 of a meter long and Spot is 1/5 of a meter long. The question asks how many times longer Burt is than Spot.
- This expression relates positively and involves length, not depth or below zero. This scenario does not match.
So, the scenarios that match the expression -(4/5) divided by -(1/5) are:
- Gina's measuring scenario
- Whale shark dive scenario
5 answers