QUESTION IMAGE
Question
in the activity, consider the ruler at the top as ruler a and that at the bottom as ruler b. measure the diameter of the circle using ruler a and ruler b. determine the num certain digits, and uncertain digits in ruler a and ruler b. drag the appropriate labels to their respective targets. view available hint(s) table with ruler a, ruler b, rows: significant figures, certain digits, uncertain digits; left labels: zero, one, two, three, four
To solve this, we analyze the precision of each ruler (assuming typical ruler graduations):
Ruler A (e.g., graduated to 1 mm, so precision):
- Significant figures: 2 (e.g., 1.2 cm: 1 is certain, 2 is uncertain → 2 sig figs total).
- Certain digits: 1 (the first digit, e.g., 1 in 1.2).
- Uncertain digits: 1 (the estimated digit, e.g., 2 in 1.2).
Ruler B (e.g., graduated to 0.1 mm, higher precision):
- Significant figures: 3 (e.g., 1.23 cm: 1,2 are certain, 3 is uncertain → 3 sig figs total).
- Certain digits: 2 (1,2 in 1.23).
- Uncertain digits: 1 (3 in 1.23).
Filling the Table:
| Ruler A | Ruler B | |
|---|---|---|
| Certain digits | one | two |
| Uncertain digits | one | one |
Step-by-Step Explanation (for clarity):
- Understand Ruler Precision: Ruler A has larger divisions (less precision), Ruler B has smaller divisions (more precision).
- Significant Figures: Depends on certain + uncertain digits. For Ruler A (e.g., 1.2), 2 sig figs; Ruler B (e.g., 1.23), 3 sig figs.
- Certain Digits: Digits known exactly. Ruler A: 1 digit; Ruler B: 2 digits.
- Uncertain Digits: Estimated digit. Both rulers have 1 uncertain digit (the last one).
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(Table Filled):
| Ruler A | Ruler B | |
|---|---|---|
| Certain digits | one | two |
| Uncertain digits | one | one |
(Note: The labels to drag are "one", "two", "three" as per the options. Assign "two" to Ruler A’s Significant figures, "three" to Ruler B’s Significant figures; "one" to Ruler A’s Certain digits, "two" to Ruler B’s Certain digits; "one" to both Ruler A and B’s Uncertain digits.)