Subjects algebra

Rewrite Powers 024Dad

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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.
8.9 × 10⁸ - ?× 10⁸