IDNLearn.com is designed to help you find the answers you need quickly and easily. Discover in-depth answers to your questions from our community of experienced professionals.
Sagot :
To solve the problem of sorting the numbers based on the number of significant figures they have, let's analyze each number:
1. 201:
- Significant Figures: All non-zero digits are significant. Here, we have 3 significant figures.
- Category: Three Significant Figures
2. 100.0:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
3. 1,200:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the two non-zero digits, so we have 2 significant figures.
- Category: Two Significant Figures
4. 1.200:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
5. 4.0:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 2 significant figures.
- Category: Two Significant Figures
6. 40:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the one non-zero digit, so we have 1 significant figure.
- Category: One Significant Figure
7. 355:
- Significant Figures: All non-zero digits are significant. Here, we have 3 significant figures.
- Category: Three Significant Figures
8. 1.808:
- Significant Figures: All non-zero digits and zeros between significant digits are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
9. 0.4:
- Significant Figures: Leading zeros are not significant. We consider the non-zero digit, so we have 1 significant figure.
- Category: One Significant Figure
10. 2,710:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the three non-zero digits, so we have 3 significant figures.
- Category: Three Significant Figures
Now we sort the numbers into their respective categories:
- One Significant Figure:
- 40
- 0.4
- Two Significant Figures:
- 1,200
- 4.0
- Three Significant Figures:
- 201
- 355
- 2,710
- Four Significant Figures:
- 100.0
- 1.200
- 1.808
Here's the sorted table:
[tex]\[ \begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text{One Significant} \\ \text{Figure} \end{array} & \begin{array}{c} \text{Two Significant} \\ \text{Figures} \end{array} & \begin{array}{c} \text{Three Significant} \\ \text{Figures} \end{array} & \begin{array}{c} \text{Four Significant} \\ \text{Figures} \end{array} \\ \hline 40 & 1,200 & 201 & 100.0 \\ 0.4 & 4.0 & 355 & 1.200 \\ & & 2,710 & 1.808 \\ \hline \end{array} \][/tex]
1. 201:
- Significant Figures: All non-zero digits are significant. Here, we have 3 significant figures.
- Category: Three Significant Figures
2. 100.0:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
3. 1,200:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the two non-zero digits, so we have 2 significant figures.
- Category: Two Significant Figures
4. 1.200:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
5. 4.0:
- Significant Figures: Trailing zeros after the decimal point are significant. Here, we have 2 significant figures.
- Category: Two Significant Figures
6. 40:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the one non-zero digit, so we have 1 significant figure.
- Category: One Significant Figure
7. 355:
- Significant Figures: All non-zero digits are significant. Here, we have 3 significant figures.
- Category: Three Significant Figures
8. 1.808:
- Significant Figures: All non-zero digits and zeros between significant digits are significant. Here, we have 4 significant figures.
- Category: Four Significant Figures
9. 0.4:
- Significant Figures: Leading zeros are not significant. We consider the non-zero digit, so we have 1 significant figure.
- Category: One Significant Figure
10. 2,710:
- Significant Figures: Trailing zeros in a whole number without a decimal point are not significant. We consider the three non-zero digits, so we have 3 significant figures.
- Category: Three Significant Figures
Now we sort the numbers into their respective categories:
- One Significant Figure:
- 40
- 0.4
- Two Significant Figures:
- 1,200
- 4.0
- Three Significant Figures:
- 201
- 355
- 2,710
- Four Significant Figures:
- 100.0
- 1.200
- 1.808
Here's the sorted table:
[tex]\[ \begin{array}{|c|c|c|c|} \hline \begin{array}{c} \text{One Significant} \\ \text{Figure} \end{array} & \begin{array}{c} \text{Two Significant} \\ \text{Figures} \end{array} & \begin{array}{c} \text{Three Significant} \\ \text{Figures} \end{array} & \begin{array}{c} \text{Four Significant} \\ \text{Figures} \end{array} \\ \hline 40 & 1,200 & 201 & 100.0 \\ 0.4 & 4.0 & 355 & 1.200 \\ & & 2,710 & 1.808 \\ \hline \end{array} \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.
