Source: Extra Practice

Evaluate the expression (1.25×3.2)0.12(1.25 \times 3.2) - 0.12 and round off the result to the correct number of significant figures.

Options

Option A is correct

3.93.9

Option B

3.883.88

Option C

44

Option D

3.903.90

Explanation

First, perform the multiplication: 1.25×3.2=4.01.25 \times 3.2 = 4.0. Since 3.23.2 has 2 significant figures, the result of the multiplication must also have 2 significant figures, which makes it 4.04.0 (having 1 decimal place). Now perform the subtraction: 4.00.12=3.884.0 - 0.12 = 3.88. Since 4.04.0 has only 1 decimal place, the final result must be rounded to 1 decimal place. Rounding 3.883.88 to 1 decimal place gives 3.93.9.