Answer :
To determine which measurement has two significant figures, we need to analyze the significant figures for each value provided in the table.
1. [tex]\(0.275\)[/tex]:
- Count all non-zero digits and zeros between them.
- Here, the number has three significant figures: 0.275.
2. [tex]\(750\)[/tex]:
- Count all non-zero digits.
- Leading zeros (zeros to the left of the number) are not significant, but trailing zeros in the presence of a decimal point are significant. However, in this case, without a decimal point or scientific notation indicating otherwise, the trailing zero may or may not be significant, but the conservative approach indicates it includes two significant figures: 7 and 5.
3. [tex]\(10.4 \times 10^5\)[/tex]:
- Count all the digits in the coefficient: 10.4.
- Here, it has three significant figures: 1, 0, and 4.
4. [tex]\(11,890\)[/tex]:
- Count all non-zero digits and any zeros between them or following them if they are known to be significant.
- Here, the number has five significant figures: 1, 1, 8, 9, and 0.
5. [tex]\(320,050\)[/tex]:
- Count all non-zero digits and any zeros between them or following them if they are known to be significant.
- Here, the number has six significant figures: 3, 2, 0, 0, 5, and 0.
Summarizing:
- Option A: 11,890 has five significant figures.
- Option B: 320,050 has six significant figures.
- Option C: [tex]\(10.4 \times 10^5\)[/tex] has three significant figures.
- Option D: 750 has two significant figures.
Therefore, the measurement with two significant figures is [tex]\(750\)[/tex].
Correct answer: D. 750
1. [tex]\(0.275\)[/tex]:
- Count all non-zero digits and zeros between them.
- Here, the number has three significant figures: 0.275.
2. [tex]\(750\)[/tex]:
- Count all non-zero digits.
- Leading zeros (zeros to the left of the number) are not significant, but trailing zeros in the presence of a decimal point are significant. However, in this case, without a decimal point or scientific notation indicating otherwise, the trailing zero may or may not be significant, but the conservative approach indicates it includes two significant figures: 7 and 5.
3. [tex]\(10.4 \times 10^5\)[/tex]:
- Count all the digits in the coefficient: 10.4.
- Here, it has three significant figures: 1, 0, and 4.
4. [tex]\(11,890\)[/tex]:
- Count all non-zero digits and any zeros between them or following them if they are known to be significant.
- Here, the number has five significant figures: 1, 1, 8, 9, and 0.
5. [tex]\(320,050\)[/tex]:
- Count all non-zero digits and any zeros between them or following them if they are known to be significant.
- Here, the number has six significant figures: 3, 2, 0, 0, 5, and 0.
Summarizing:
- Option A: 11,890 has five significant figures.
- Option B: 320,050 has six significant figures.
- Option C: [tex]\(10.4 \times 10^5\)[/tex] has three significant figures.
- Option D: 750 has two significant figures.
Therefore, the measurement with two significant figures is [tex]\(750\)[/tex].
Correct answer: D. 750
