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Question 31

Using the rules for significant figures, the correct answer for the expression $$\frac{0.02858 \times 0.112}{0.5702}$$ will be:

We need to find the answer to the expression using significant figures rules. The expression is $$\frac{0.02858 \times 0.112}{0.5702}$$. The numerator is $$0.02858 \times 0.112 = 0.00320096$$, and dividing by 0.5702 gives $$\frac{0.00320096}{0.5702} = 0.005613...$$

In multiplication and division, the result should have the same number of significant figures as the quantity with the least significant figures. 0.02858 has 4 significant figures, 0.112 has 3 significant figures, and 0.5702 has 4 significant figures, so the minimum is 3 significant figures.

Rounding the answer to 3 significant figures gives $$0.005613... \approx 0.00561$$ (3 significant figures). The answer is Option B: 0.00561.

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