Subjects algebra

Scientific Notation

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1. The problem is to express the number $7.5 \times 10^{-2}$ in decimal form. 2. Recall that $10^{-2}$ means $\frac{1}{10^2} = \frac{1}{100} = 0.01$. 3. Multiply $7.5$ by $0.01$: $$7.5 \times 0.01 = 0.075$$ 4. Therefore, $7.5 \times 10^{-2} = 0.075$.