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In which of the following pairs of numbers does each member of the pair contain the same number of significant figures? Oa. 70.50 and 10960 а. Ob. 0.0806 and 960,000 С. 0.03070 and 0.0670 Od. 20.006 and 462

In which of the following pairs of numbers does each member of the pair contain the same number of significant figures? Oa. 70.50 and 10960 а. Ob. 0.0806 and 960,000 С. 0.03070 and 0.0670 Od. 20.006 and 462

Chemistry
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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### Question 9 **In which of the following pairs of numbers does each member of the pair contain the same number of significant figures?** a. 70.50 and 10960 b. 0.0806 and 960,000 c. 0.03070 and 0.0670 d. 20.006 and 462 **Explanation:** - Significant figures (also known as significant digits) are the digits of a number that carry meaningful contributions to its measurement resolution. This includes all digits except: - Leading and trailing zeros where they serve merely as placeholders to indicate the scale of the number. - For example: - '70.50' has four significant figures. - '10960' has five significant figures if the zero is considered significant; otherwise, it has four. **Analysis of options:** - **Option A:** 70.50 has four significant figures. The number 10960 has either four or five significant figures depending on context (if the zero is significant, it has five figures). Without additional context, this pair is ambiguous. - **Option B:** 0.0806 has three significant figures, while 960,000 might have between two to six depending on context (commonly considered as six if all zeros are significant). - **Option C:** 0.03070 has four significant figures. 0.0670 also has four significant figures. - **Option D:** 20.006 has five significant figures. The number 462 has three significant figures. **Correct Answer:** Option **c** (0.03070 and 0.0670) as both numbers have exactly four significant figures.
Transcribed Image Text:### Question 9 **In which of the following pairs of numbers does each member of the pair contain the same number of significant figures?** a. 70.50 and 10960 b. 0.0806 and 960,000 c. 0.03070 and 0.0670 d. 20.006 and 462 **Explanation:** - Significant figures (also known as significant digits) are the digits of a number that carry meaningful contributions to its measurement resolution. This includes all digits except: - Leading and trailing zeros where they serve merely as placeholders to indicate the scale of the number. - For example: - '70.50' has four significant figures. - '10960' has five significant figures if the zero is considered significant; otherwise, it has four. **Analysis of options:** - **Option A:** 70.50 has four significant figures. The number 10960 has either four or five significant figures depending on context (if the zero is significant, it has five figures). Without additional context, this pair is ambiguous. - **Option B:** 0.0806 has three significant figures, while 960,000 might have between two to six depending on context (commonly considered as six if all zeros are significant). - **Option C:** 0.03070 has four significant figures. 0.0670 also has four significant figures. - **Option D:** 20.006 has five significant figures. The number 462 has three significant figures. **Correct Answer:** Option **c** (0.03070 and 0.0670) as both numbers have exactly four significant figures.
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