Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To determine the number of significant figures in the measurement [tex]\(16.400 \, g\)[/tex], we need to follow the rules for identifying significant figures. Here are the steps:
1. All non-zero digits are considered significant:
- In the number [tex]\(16.400\)[/tex], the digits [tex]\(1\)[/tex] and [tex]\(6\)[/tex] are non-zero and hence significant.
2. Any zeros between significant figures are also significant:
- In the number [tex]\(16.400\)[/tex], there is a zero between the significant digit [tex]\(6\)[/tex] and the significant digits following the decimal point, making it significant.
3. Trailing zeros in the decimal part are significant:
- In [tex]\(16.400\)[/tex], the zeros after the decimal point and after the digit [tex]\(4\)[/tex] are significant because they indicate the precision of the measurement.
Combining all the significant figures from the steps above, we have:
- The digits [tex]\(1\)[/tex] and [tex]\(6\)[/tex] (non-zero, hence significant),
- The zero between [tex]\(6\)[/tex] and the decimal point (between significant figures, hence significant),
- The zeros after the decimal point and after the digit [tex]\(4\)[/tex] (trailing zeros in the decimal part, hence significant).
Thus, the measurement [tex]\(16.400 \, g\)[/tex] contains a total of 5 significant figures.
1. All non-zero digits are considered significant:
- In the number [tex]\(16.400\)[/tex], the digits [tex]\(1\)[/tex] and [tex]\(6\)[/tex] are non-zero and hence significant.
2. Any zeros between significant figures are also significant:
- In the number [tex]\(16.400\)[/tex], there is a zero between the significant digit [tex]\(6\)[/tex] and the significant digits following the decimal point, making it significant.
3. Trailing zeros in the decimal part are significant:
- In [tex]\(16.400\)[/tex], the zeros after the decimal point and after the digit [tex]\(4\)[/tex] are significant because they indicate the precision of the measurement.
Combining all the significant figures from the steps above, we have:
- The digits [tex]\(1\)[/tex] and [tex]\(6\)[/tex] (non-zero, hence significant),
- The zero between [tex]\(6\)[/tex] and the decimal point (between significant figures, hence significant),
- The zeros after the decimal point and after the digit [tex]\(4\)[/tex] (trailing zeros in the decimal part, hence significant).
Thus, the measurement [tex]\(16.400 \, g\)[/tex] contains a total of 5 significant figures.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.