1. **Evaluate** $5.01 \times 10^3 = 4.11 \times 10^3$.
This is a comparison, not an operation, so the values are:
$5.01 \times 10^3 = 5010$
$4.11 \times 10^3 = 4110$
2. **Evaluate and add** $0.0899 + 3.31 \times 10^{-3}$ and express the answer in scientific notation.
3. **Calculate the total power** a power plant must produce per day to serve both cities.
Given:
City A uses $2.5 \times 10^9$ watts per day
City B uses $7.3 \times 10^8$ watts per day
**Step 1:** Add the power usage of both cities:
$$2.5 \times 10^9 + 7.3 \times 10^8$$
Rewrite $7.3 \times 10^8$ as $0.73 \times 10^9$ to have the same power of ten:
$$2.5 \times 10^9 + 0.73 \times 10^9 = (2.5 + 0.73) \times 10^9 = 3.23 \times 10^9$$
**Step 2:** The power plant must produce $3.23 \times 10^9$ watts per day.
**Final answers:**
- $0.0899 + 3.31 \times 10^{-3} = 0.0899 + 0.00331 = 0.09321$
Express in scientific notation:
$$0.09321 = 9.321 \times 10^{-2}$$
- Power plant output needed: $3.23 \times 10^9$ watts per day.
Power Plant Calculation 1Fa4D8
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