Question

which of the following values have 2 significant figures? check all that apply. a. 1,200 b. 40 c. 1,001 d. 12

Explanation:

Step1: Determine significant figures for A (1,200)

Non - zero digits are significant. Here, 1 and 2 are non - zero. But trailing zeros in a number without a decimal are ambiguous. If it's \(1.2\times10^{3}\), it has 2 significant figures. If it's 1200 as a whole number without implied precision, it's often considered to have 2 significant figures (assuming it's not \(1200.0\) etc.).

Step2: Determine significant figures for B (40)

Trailing zero in 40 (without a decimal) is ambiguous. If it's \(4\times10^{1}\), it has 1 significant figure. If it's 40 with an implied precision of two - digit measurement (e.g., 40 ± 1), it has 2 significant figures. But by standard rules (without context), it's often considered to have 1 significant figure.

Step3: Determine significant figures for C (1,001)

All non - zero digits and the zeros between non - zero digits are significant. So 1,001 has 4 significant figures.

Step4: Determine significant figures for D (12)

Both 1 and 2 are non - zero digits. So 12 has 2 significant figures.

Answer:

A. 1,200, D. 12