Question

units of measurement assessment 2025x
which set contains one significant figures?
o 0.001 100 0.03
o 200. 0.300 1.02x10^2
o 200 0.02 4010.
o 3010. 0.0300 0740

Explanation:

Step1: Recall significant - figures 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 the first set

• For 0.001, the leading zeros are not significant, so it has 1 significant figure.
• For 100, the trailing zeros without a decimal point are ambiguous, but if we assume no decimal, it has 1 significant figure.
• For 0.03, the leading zeros are not significant, so it has 1 significant figure.

Step3: Analyze the second set

• For 200., the decimal point makes the trailing zero significant, so it has 3 significant figures.
• For 0.300, the leading zero is not significant, but the trailing zeros after the non - zero digit are significant, so it has 3 significant figures.
• For \(1.02\times10^{2}\), all digits in 1.02 are significant, so it has 3 significant figures.

Step4: Analyze the third set

• For 200, ambiguous, assume 1 significant figure.
• For 0.02, leading zeros are not significant, 1 significant figure.
• For 4010., the decimal point makes the trailing zero significant, so it has 4 significant figures.

Step5: Analyze the fourth set

• For 3010., the decimal point makes the trailing zero significant, so it has 4 significant figures.
• For 0.0300, leading zeros are not significant, but the two trailing zeros after 3 are significant, so it has 3 significant figures.
• For 0740 (assuming it means 740), without a decimal, it has 2 significant figures.

Answer:

The first set: 0.001, 100, 0.03