To find out how many Pennies are in the pile that weighs \(3.596 \times 10^4\) lbs, we can divide the total weight of the pile by the weight of one penny.
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Weight of one penny: \[ 5.8 \times 10^{-3} \text{ lbs} \]
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Weight of the pile: \[ 3.596 \times 10^{4} \text{ lbs} \]
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Calculating the number of pennies: \[ \text{Number of Pennies} = \frac{\text{Weight of the pile}}{\text{Weight of one penny}} = \frac{3.596 \times 10^{4}}{5.8 \times 10^{-3}} \]
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Perform the division: \[ \text{Number of Pennies} = 3.596 \div 5.8 \times 10^{4 - (-3)} = 0.62068966 \times 10^{4 + 3} = 0.62068966 \times 10^{7} \]
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Convert to a more standard form: \[ 0.62068966 \times 10^{7} = 6.2068966 \times 10^{6} \]
So, the number of pennies in the pile is approximately \(6.21 \times 10^{6}\).
Thus, there are about 6,210,000 pennies in the pile.
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