Express each answer with the correct number of significant...

Express each answer with the correct number of significant figures. (Chapter 2$)$
\begin{equation}
\begin{array}{l}{\text { a. } 18.23-456.7} \\ {\text { b. } 4.233 \div 0.0131} \\ {\text { c. }(82.44 \times 4.92)+0.125}\end{array}
\end{equation}

Key Concepts

Rounding

Rounding is the process of adjusting the digits of a number to reflect the proper level of precision indicated by significant figures rules. It involves reducing the number of digits while attempting to keep the value as close as possible to the original, thus ensuring that the final result is neither overrepresented nor misleading in terms of accuracy.

Multiplication/Division Rules

For multiplication and division, the computed result should be rounded to have the same number of significant figures as the measurement with the fewest significant figures. This approach preserves the overall precision of the results, reflecting the limitations in the measurement process.

Addition/Subtraction Rules

When performing addition or subtraction, the result should be rounded to the same number of decimal places as the quantity with the fewest decimal places. This rule ensures that the precision of the result does not exceed the precision of the least precise measurement, maintaining consistency in reported data.

Significant Figures

Significant figures represent the digits in a number that carry meaningful information about its precision. They include all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding how many significant figures to use is essential in expressing measurements and computed results, ensuring that the reported precision matches the accuracy of the measurements.

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