Subtract the following measurements and round off the...

Subtract the following measurements and round off the answer:
(a) $ \begin{array}{rrr} 242.197 \mathrm{~g} & \text { (b) } & 27.55 \mathrm{~g} \\ -175 & \mathrm{~g} & & -14.545 \mathrm{~g} \\ \hline \end{array} $

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Key Concepts

Arithmetic with Signed Numbers

When performing operations with measurements, it is common to encounter both positive and negative numbers. Understanding how to subtract numbers with different signs is crucial. The rules for handling negative numbers in arithmetic allow for the correct computation of differences, ensuring that the sign of the result accurately reflects the relationship between the measured values.

Subtraction of Measurements

This concept involves the arithmetic process of taking one measured value away from another. When subtracting measurements, it is important to correctly line up the quantities, especially when they are expressed with decimals or different signs. The process ensures that the difference between the two values is accurately determined while maintaining the appropriate units of measurement.

Rounding

Rounding is the process of reducing the number of digits in a number while keeping the value close to the original. In measurement arithmetic, rounding is performed to reflect the precision of the instruments used or to simplify the result for practical applications. This concept involves identifying the appropriate level of precision, such as the number of decimal places, and adjusting the final answer accordingly.

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