In which of the following pairs do both numbers contain the same number of significant figures?a. 11.0 m and 11.00 mb. 0.0250 m and 0.205 mc. 0.000 12 s and 12 000 sd. 250.0 L and 2.5 x 10⁻² L

Verified step by step guidance

1. Identify the number of significant figures in each number of the given pairs.
2. For pair (a), count the significant figures in 11.0 m and 11.00 m.
3. For pair (b), count the significant figures in 0.0250 m and 0.205 m.
4. For pair (c), count the significant figures in 0.000 12 s and 12 000 s.
5. For pair (d), count the significant figures in 250.0 L and 2.5 x 10^{-2} L.

Key Concepts

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and performing calculations in chemistry.

Rules for Counting Significant Figures

There are specific rules for determining the number of significant figures in a given number. For example, leading zeros are not counted, while trailing zeros in a decimal number are significant. Familiarity with these rules helps in comparing numbers and ensuring consistency in scientific communication.

Comparing Significant Figures

When comparing two numbers for significant figures, it is essential to identify how many significant figures each number contains. This comparison is important in scientific calculations, as it affects the precision of the results. Recognizing pairs with the same number of significant figures ensures proper data interpretation and reporting.