1. **State the problem:** We want to rewrite the expression $$(8.9 \times 10^8) - (4.4 \times 10^7)$$ so that both terms have the same power of 10, specifically $10^8$.
2. **Recall the rule:** When subtracting numbers in scientific notation, the powers of 10 must be the same to combine the coefficients directly.
3. **Rewrite the second term:** Note that $$4.4 \times 10^7 = 4.4 \times \frac{10^8}{10} = \frac{4.4}{10} \times 10^8 = 0.44 \times 10^8$$
4. **Substitute back:** The expression becomes
$$ (8.9 \times 10^8) - (0.44 \times 10^8) $$
5. **Final rewritten expression:**
$$ (8.9 \times 10^8) - (0.44 \times 10^8) $$
This shows both terms with the same power of 10, $10^8$, as requested.
Rewrite Powers 024Dad
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.