Question

which set contains three significant figures each?
o a 0.001 100. 0.03
o b 200. 0.300 1.02 x 10^2
o c 200 0.02 4010.
o d 3010. 0.03000 740

Explanation:

Step1: Recall significant - figure rules

Non - zero digits are always significant. Leading zeros (zeros before non - zero digits) are not significant. Trailing zeros in a number without a decimal point may or may not be significant, but trailing zeros in a number with a decimal point are significant.

Step2: Analyze option a

In 0.001, there is 1 significant figure. In 100., there are 3 significant figures. In 0.03, there is 1 significant figure.

Step3: Analyze option b

In 200., the decimal point makes the trailing zero significant, so it has 3 significant figures. In 0.300, the leading zero is not significant, but the 3 and the two trailing zeros are significant, so it has 3 significant figures. In \(1.02\times10^{2}\), the numbers 1, 0, and 2 are significant, so it has 3 significant figures.

Step4: Analyze option c

In 200, the number of significant figures is ambiguous (could be 1, 2, or 3 without a decimal point). In 0.02, there is 1 significant figure. In 4010., there are 4 significant figures.

Step5: Analyze option d

In 3010., there are 4 significant figures. In 0.03000, there are 4 significant figures. In 740, the number of significant figures is ambiguous (could be 2 or 3 without a decimal point).

Answer:

B. 200., 0.300, \(1.02\times10^{2}\)