In which of the following pairs do both numbers contain the same number of significant figures?
Check all that apply.
0.0250 m and 0.205 m
0.00012 s and 12000 s
11.0 m and 11.00 m
| 250.0 L and 2.5 × 10^-2 L
0.0250 m and 0.205 m
0.00012 s and 12000 s
| 250.0 L and 2.5 × 10^-2 L
To determine which pairs have the same number of significant figures, we count the number of digits in each number, excluding any leading or trailing zeros.
Let's go through each pair:
1) 0.0250 m and 0.205 m
- The first number, 0.0250, has three significant figures.
- The second number, 0.205, also has three significant figures.
So, this pair has the same number of significant figures.
2) 0.00012 s and 12000 s
- The first number, 0.00012, has two significant figures.
- The second number, 12000, has five significant figures, as trailing zeros in a whole number are significant.
So, this pair does not have the same number of significant figures.
3) 11.0 m and 11.00 m
- The first number, 11.0, has three significant figures.
- The second number, 11.00, also has four significant figures, as trailing zeros after a decimal point are significant.
So, this pair does not have the same number of significant figures.
4) 250.0 L and 2.5 × 10^-2 L
- The first number, 250.0, has four significant figures.
- The second number, 2.5 × 10^-2, can be rewritten as 0.025, which has two significant figures.
So, this pair does not have the same number of significant figures.
Therefore, the pairs that have the same number of significant figures are:
- 0.0250 m and 0.205 m
Please let me know if anything needs clarification.