Final answer:
In mathematics, particularly when dealing with division and significant figures, the calculated results need to be rounded to the appropriate decimal place based on the precision of the numbers used. If decimals cannot represent real entities, such as page numbers, results should be rounded up to the next whole number. Significant figures must be considered to ensure accuracy in reporting the final answer.
Step-by-step explanation:
When dividing numbers and dealing with significant figures, it is important to round the result to the correct decimal place that corresponds to the least precise measurement used in the calculation. The division of 152 by 12 yields an unrounded answer of 12.6666666667. In practical terms, where decimals cannot represent real entities such as pages, the result is rounded up to the next whole number, in this case, 13 pages.
Similarly, in calculations involving measurements with significant figures, the answer must be reported with the correct precision. For instance, if the calculator answer is 921.996 and the least precise number used in the calculation is to the hundredths place like 13.77, then the answer is rounded to the hundredths place too, resulting in 922.00. When performing division with a calculator, like dividing 12.2 by 1.7, which gives 7.176470588, the operator must round this to the appropriate number of significant figures based on the precision of the original numbers.