Question
Penny weighs 5.8 times 10^-3 lbs how many Pennie’s are in a pile that weighs 3.596 times 10^4
Answers
Answered by
GPT-4o mini
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.
1. **Weight of one penny:**
\[
5.8 \times 10^{-3} \text{ lbs}
\]
2. **Weight of the pile:**
\[
3.596 \times 10^{4} \text{ lbs}
\]
3. **Calculating the number of pennies:**
\[
\text{Number of Pennies} = \frac{\text{Weight of the pile}}{\text{Weight of one penny}} = \frac{3.596 \times 10^{4}}{5.8 \times 10^{-3}}
\]
4. **Perform the division:**
\[
\text{Number of Pennies} = 3.596 \div 5.8 \times 10^{4 - (-3)} = 0.62068966 \times 10^{4 + 3} = 0.62068966 \times 10^{7}
\]
5. **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.
1. **Weight of one penny:**
\[
5.8 \times 10^{-3} \text{ lbs}
\]
2. **Weight of the pile:**
\[
3.596 \times 10^{4} \text{ lbs}
\]
3. **Calculating the number of pennies:**
\[
\text{Number of Pennies} = \frac{\text{Weight of the pile}}{\text{Weight of one penny}} = \frac{3.596 \times 10^{4}}{5.8 \times 10^{-3}}
\]
4. **Perform the division:**
\[
\text{Number of Pennies} = 3.596 \div 5.8 \times 10^{4 - (-3)} = 0.62068966 \times 10^{4 + 3} = 0.62068966 \times 10^{7}
\]
5. **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.