a By writing each number correct to one significant figure, estimate the value of $$ \frac{0.387 \times 7.03^{2}}{\sqrt[3]{8.11}} $$

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The estimated value is 10. To estimate the value of $$ \frac{0.387 \times 7.03^{2}}{\sqrt[3]{8.11}} $$ correct to one significant figure, we will round each number to one significant figure first. 1. **Round $$0.387$$**: - The first significant figure is $$3$$, so $$0.387$$ rounds to $$0.4$$. 2. **Round $$7.03$$**: - The first significant figure is $$7$$, so $$7.03$$ rounds to $$7$$. 3. **Calculate $$7.03^2$$**: - Using the rounded value, $$7^2 = 49$$. 4. **Round $$8.11$$**: - The first significant figure is $$8$$, so $$8.11$$ rounds to $$8$$. 5. **Calculate $$\sqrt[3]{8.11}$$**: - Using the rounded value, $$\sqrt[3]{8} = 2$$. Now we can substitute these rounded values into the expression: $$ \frac{0.4 \times 49}{2} $$ Calculating the numerator: $$ 0.4 \times 49 = 19.6 $$ Now, divide by $$2$$: $$ \frac{19.6}{2} = 9.8 $$ Finally, rounding $$9.8$$ to one significant figure gives us $$10$$. Thus, the estimated value of $$ \frac{0.387 \times 7.03^{2}}{\sqrt[3]{8.11}} $$ correct to one significant figure is $$ \boxed{10}. $$

a By writing each number correct to one significant figure, estimate the value of \[ \frac{0.387 \times 7.03^{2}}{\sqrt[3]{8.11}} \]

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a By writing each number correct to one significant figure, estimate the value of \[ \frac{0.387 \times 7.03^{2}}{\sqrt[3]{8.11}} \]

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