To solve the problem using the provided quantities, we'll follow these steps:
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Identify the values from the problem:
- Value 1: \( 0.009430 \)
- Value 2: \( 43 \)
- Value 3: \( 10.9 \)
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Determine significant digits for each number:
- \( 0.009430 \): This number has 4 significant digits (the leading zeros are not significant).
- \( 43 \): This number has 2 significant digits (both digits are significant).
- \( 10.9 \): This number has 3 significant digits (all digits are significant).
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Perform the calculation:
- We will start by multiplying the three values together: \[ 0.009430 \times 43 \times 10.9 \]
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Calculator Work:
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Start by multiplying \(0.009430 \times 43\): \[ 0.009430 \times 43 = 0.40559 \]
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Next, multiply the result by \(10.9\): \[ 0.40559 \times 10.9 = 4.409921 \]
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Applying Significant Figures: After performing the calculation, we need to round the result \(4.409921\) based on the number with the least significant digits.
- The number \(0.009430\) has 4 significant figures.
- The number \(43\) has 2 significant figures.
- The number \(10.9\) has 3 significant figures.
The number with the least significant digits is \(43\), which has 2 significant figures.
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Rounding the result:
- The result of \(4.409921\) when rounded to 2 significant figures is \(4.4\).
Final Summary:
- Calculator Answer: \(4.409921\)
- Rounded (Significant Figures): \(4.4\)
- Number of Significant Digits in Final Answer: 2 significant digits.
So, the final answer to the multiplication is 4.4 with 2 significant digits.
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