Questions: Express the answers to the following operations with the proper number of significant figures. A. 1.2 × 1.216 B. 3.000 / 2.0 C. (1.201 × 10^3) × (1.2 × 10^-2) D. 1.6+1.15 E. (41.314-41.03) × 1.23 F. 1.8+1.022+0.001 G. (0.050-0.0012) × (3.0-2.495)

Solution Steps

For part A, we need to multiply \(1.2\) by \(1.216\). The number with the fewest significant figures is \(1.2\) (2 significant figures).

\[ 1.2 \times 1.216 = 1.4592 \]

Rounding to 2 significant figures:

\[ \boxed{1.5} \]

For part B, we need to divide \(3.000\) by \(2.0\). The number with the fewest significant figures is \(2.0\) (2 significant figures).

\[ \frac{3.000}{2.0} = 1.5 \]

Rounding to 2 significant figures:

\[ \boxed{1.5} \]

For part C, we need to multiply \((1.201 \times 10^{3})\) by \((1.2 \times 10^{-2})\). The number with the fewest significant figures is \(1.2\) (2 significant figures).

\[ (1.201 \times 10^{3}) \times (1.2 \times 10^{-2}) = 1.4412 \times 10^1 = 14.412 \]

Rounding to 2 significant figures:

\[ \boxed{14} \]

Final Answer