Final answer:
The question involves performing arithmetic calculations with an emphasis on significant figures, a key aspect of presenting data accurately in mathematics. Calculators provide precise results that must be rounded according to the input data's accuracy.
Step-by-step explanation:
The question pertains to performing calculations with attention to significant figures. In mathematics, particularly in significant figures or sig figs, it is crucial to report answers that match the least accurate measurement. When calculating, we ensure that the final answer reflects the precision of the input data. Let's look at a few examples:
- 3 1/4 - 2 5/8 combines mixed numbers. Convert to improper fractions before subtracting.
- The product of 2 1/4 x 7/8 needs to be simplified and the answer expressed in simplest form.
- 7 3/10 divided by 5 is a simple division, with the answer potentially requiring rounding to maintain significant figures.
- Multiplying 0.89 x 2.7 generates a decimal product—significant figures guide the rounding process.
- Dividing 3.651 by 15 also results in decimals and musat adhere to significant figures rules.
When using a calculator, it is the user's responsibility to round off the final result to the correct number of significant figures, as calculators will present answers to a high degree of precision, regardless of the accuracy of the input data.