To solve the expression \((-4) \times ( ) \times (− ) ÷ ( )\), we need to fill in the blanks with the given options. The choices provided are:
First blank: \(7\), \(5\), \(3\), \(4\)
Second blank: \(7\), \(15\), \(9\), \(-9\)
Third blank: \(147\), \(75\), \(147\), \(75\)
We will calculate the expression step-by-step with the different combinations of the provided numbers, keeping an eye on the signs of the results.
Let’s consider the expression with different combinations, starting from the first blank onwards:
Possible combinations:
-
First attempt: Fill with \(7\), \(15\), \(75\):
\[ (-4) \times 7 \times (-15) ÷ 75 \]
Calculate: \[ (-4) \times 7 = -28 \] \[ -28 \times (-15) = 420 \] \[ 420 ÷ 75 = 5.6 \]
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Second attempt: Fill with \(3\), \(9\), \(147\):
\[ (-4) \times 3 \times (-9) ÷ 147 \]
Calculate: \[ (-4) \times 3 = -12 \] \[ -12 \times (-9) = 108 \] \[ 108 ÷ 147 = 0.73469 \]
Checking other combinations:
-
Third attempt: Fill with \(5\), \(-9\), \(75\):
\[ (-4) \times 5 \times (-9) ÷ 75 \]
Calculate: \[ (-4) \times 5 = -20 \] \[ -20 \times (-9) = 180 \] \[ 180 ÷ 75 = 2.4 \]
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Fourth attempt: Fill with \(4\), \(15\), \(147\):
\[ (-4) \times 4 \times (-15) ÷ 147 \]
Calculate: \[ (-4) \times 4 = -16 \] \[ -16 \times (-15) = 240 \] \[ 240 ÷ 147 = 1.63265 \]
Each of these combinations yields a different result. Without additional context, an explicit answer may vary. However, if an answer is required, one combination that results in valid calculations would be:
- First Blank: \(5\)
- Second Blank: \(-9\)
- Third Blank: \(75\)
Final calculation - \[ (-4) \times 5 \times (-9) ÷ 75 = 2.4 \]
To summarize, depending on your desired result or interpretation of the blanks, various numbers can fit, and thus multiple valid answers can exist. However, a consistent accurate calculation should yield \(2.4\) as shown above.