Expansion of Solids, Liquids, and Gases
Q: True or False: Most substances expand when heated.
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Step 1: Calculate the area: \(A = length \times width = 12.5 \times 8.2 = 102.5 \text{ cm}^2\). Step 2: Determine significant figures. Both measurements (12.5 and 8.2) have 3 significant figures. In multiplication, the answer should have the same number of significant figures as the measurement with the fewest significant figures. Both have 3 s.f., so our answer must have 3 s.f. Step 3: Round 102.5 to 3 s.f. All four digits (1, 0, 2, 5) are already significant, giving us 4 s.f. We need to round to 3 s.f., which means keeping 1, 0, 2 and checking the next digit (5). Since 5 ≥ 5, round UP: 102 becomes 103. Therefore, Area = 103 cm². This type of practical application question is very common in ECZ Paper 2, where you must show both calculation and proper rounding.
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