To find the missing number in the expression:
\[ 44.297 = 4 \times 10 + 4 \times 1 + 2 \times \left( \frac{10}{1} \right) + 9 \times __ + 7 \times \left( \frac{1}{1000} \right) \]
Let's break it down step by step.
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Calculate each part:
- \( 4 \times 10 = 40 \)
- \( 4 \times 1 = 4 \)
- \( 2 \times \left( \frac{10}{1} \right) = 20 \)
- \( 7 \times \left( \frac{1}{1000} \right) = 0.007 \)
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Now sum these calculated parts except for the \( 9 \times __ \): \[ 40 + 4 + 20 + 0.007 = 64.007 \]
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Now we equate it to the original number: \[ 64.007 + 9 \times _ = 44.297 \]
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Rearranging gives us: \[ 9 \times _ = 44.297 - 64.007 \] \[ 9 \times _ = -19.71 \]
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Now divide by 9: \[ _ = \frac{-19.71}{9} \approx -2.187 \]
Thus, the missing number in the expression is -2.187.