To find the expression that best shows another way to write the product of the number of ladder rungs that Yan climbed, we first recognize that Yan descends 4 rungs each time he stops and makes 8 stops total. Therefore, the total number of rungs he descended can be calculated as:
\[ \text{Total rungs} = \text{Number of stops} \times \text{Rungs per stop} = 8 \times 4 \]
Now, let's analyze the given expressions:
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4 + 4 + 4 + 4: This expression equals 16, but it does not represent the product of the number of ladder rungs climbed.
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8 + 8 + 8 + 8: This expression equals 32, but it also does not represent the number of rungs climbed in the context of the question.
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(-1)(4 + 4 + 4 + 4): This expression can be simplified as (-1)(16) = -16. While it shows a multiplication of the total rungs (16), the negative sign makes it unrelated to the context of climbing or descending rungs.
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(-8) + (-8) + (-8) + (-8): This expression equals -32 and does not represent the ladder rungs correctly.
The best answer to show the product of the number of ladder rungs that Yan climbed (which totals to \(8 \times 4\)) can be expressed using a multiplication expression. However, none of the given options directly shows the multiplication form \(8 \times 4\) or its equivalent.
If we strictly have to choose among the options presented, the closest expression would be the one that reflects the tallied steps context, which essentially emphasizes a negative count. Therefore, (-1)(4 + 4 + 4 + 4) could be interpreted in a way related to the total steps if we consider the climbing down context:
So, (-1)(4 + 4 + 4 + 4) could be loosely related if we think of it as representing a step downwards, despite not making exact logical sense in this context.
Thus, while none directly fulfill the multiplication condition effectively, (-1)(4 + 4 + 4 + 4) is the one that somewhat reflects the act of descending.