To solve the expression \((-4) \times (75) \times (-34) \div (715)\), we can follow the order of operations and simplify step by step.
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Multiply the first two numbers: \[ (-4) \times (75) = -300 \]
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Multiply with the third number: \[ -300 \times (-34) = 10200 \quad \text{(since the product of two negative numbers is positive)} \]
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Divide by \(715\): \[ 10200 \div 715 \]
To perform this division, we can either do it directly or simplify it first. Let's calculate:
Using a calculator or long division: \[ 10200 \div 715 \approx 14.27 \]
However, since it seems you're looking for a specific outcome (like whole or simpler numbers), let's first try to simplify before performing the division.
We can check:
\[ 10200 \div 715 = \frac{10200}{715} \]
This fraction can be simplified. Dividing both numerator and denominator by 5 gives:
\[ \frac{2040}{143} \]
This division can be written as:
\[ 2040 \div 143 \approx 14.27 \]
Since we need to evaluate the decimal, this indicates that the response might not match any of the given options perfectly.
Given the options:
- −9
- negative 9
Based on the calculation done, neither of these matches \(14.27\), so it may be an indication of a problem in expected output or another calculation. However, since \(-9\) is present in the options, it might be beneficial to reevaluate all options or context given prior.
Nonetheless, the correct computation gives approximately \(14.27\), which doesn’t match the negative 9; hence further confirmation of expected responses may be necessary.