Calculate to the correct number of significant figures. b. 2.36 * 0.09870 * 0.0341

Verified step by step guidance

1. Identify the number of significant figures in each number: 2.36 has 3 significant figures, 0.09870 has 4 significant figures, and 0.0341 has 3 significant figures.
2. Multiply the numbers together: (2.36) * (0.09870) * (0.0341).
3. Determine the number of significant figures for the final answer: The result should have the same number of significant figures as the number with the fewest significant figures in the problem.
4. Since the number with the fewest significant figures is 2.36 and 0.0341, both having 3 significant figures, the final answer should be rounded to 3 significant figures.
5. Round the calculated product to 3 significant figures to obtain the final answer.

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 calculations in chemistry.

Multiplication and Significant Figures

When multiplying numbers, the result should be reported with the same number of significant figures as the factor with the least significant figures. This rule ensures that the precision of the result reflects the least precise measurement involved in the calculation, maintaining the integrity of the data.

Calculating Products

To calculate the product of multiple numbers, you multiply them together as usual. After obtaining the raw product, you then apply the significant figures rule to determine how many digits to keep in the final answer. This process is essential for ensuring that the final result is both accurate and appropriately precise.