Carry out the following calculations, express each answer to...

Carry out the following calculations, express each answer to the correct number of significant figures, and include units in the answers. (a) $9.02 \mathrm{~g}+3.1 \mathrm{~g}$ (b) $88.80 \mathrm{~cm}+7.391 \mathrm{~cm}$ (c) $362 \mathrm{~mL}-99.5 \mathrm{~mL}$ (d) $12.4 \mathrm{mg}+6.378 \mathrm{mg}+2.089 \mathrm{mg}$

Carry out the following calculations, express each answer to the correct number of significant figures, and include units in the answers.
(a) $9.02 \mathrm{~g}+3.1 \mathrm{~g}$
(b) $88.80 \mathrm{~cm}+7.391 \mathrm{~cm}$
(c) $362 \mathrm{~mL}-99.5 \mathrm{~mL}$
(d) $12.4 \mathrm{mg}+6.378 \mathrm{mg}+2.089 \mathrm{mg}$

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Key Concepts

Measurement Units

Including units in calculations is essential for clarity and correctness in science and engineering. Units provide context for numerical values and ensure that the computed result is meaningful. Always carry through the appropriate units from the measurements to the final answer to maintain consistency and avoid errors.

Significant Figures

Significant figures are the digits in a number that carry meaningful information about its precision. They indicate the reliability of a measurement and help to communicate the accuracy of computed values. In any calculation, it's important to consider the number of significant figures so that the final result reflects the limitations of the measurements used.

Rules for Addition and Subtraction

When adding or subtracting measured quantities, the result should be reported with the same number of decimal places as the operand that has the fewest decimal places. This ensures that the precision of the result is not overstated and accurately reflects the least precise measurement.

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