To determine the reasonableness of Jin's answer when solving the equation \(-225 \div (-15)\), one effective way is to compare it with a similar, simpler calculation that has the same divisor.
Looking at Jin's calculation, we notice:
Original Problem: \[ -225 \div (-15) = 15 \]
To check the reasonableness, let’s consider the options provided:
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Dividing -25 by -10 produces: \[ -25 \div -10 = 2.5 \] This does not relate well to the original problem.
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Multiplying -25 by -10 produces: \[ -25 \times -10 = 250 \] This is not directly comparable either.
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Dividing -200 by -10 produces: \[ -200 \div -10 = 20 \] This is a reasonable calculation since it also involves negative numbers and results in a positive number.
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Multiplying -200 by -10 produces: \[ -200 \times -10 = 2000 \] This is again not directly comparable.
Among the options, dividing -200 by -10 is the best choice to help Jin evaluate the reasonableness of his answer since it involves division and uses similar negative quantities, yielding a positive result.
So, the answer is: Dividing -200 by -10.