Answer :
Final answer:
The long division questions provided are solved with consideration for significant figures, ensuring that the answers are rounded to the same level of precision as the least precise number in each problem.
Explanation:
Long division is a mathematical process used for dividing one number by another. It's important to consider significant figures when performing long division because calculators can give overly precise answers. Let's apply the rule of significant figures in multiplication and division, which dictates rounding the result to the number of digits that correspond to the least certain value.
- 0.8 divided by 30 = 0.0267 (rounded to four significant figures)
- 35 divided by 97.3 = 0.3597 (rounded to four significant figures)
- 7.8 divided by 15 = 0.52 (rounded to two significant figures)
- 49 divided by 14 = 3.5 (rounded to two significant figures)
- 52.2 divided by 12 = 4.35 (rounded to three significant figures)
- 5.16 divided by 0.24 = 21.5 (rounded to three significant figures)
- 20 divided by 2 = 10 (rounded to significant figures accordingly)
- 138.4 divided by 16 = 8.65 (rounded to three significant figures)
- 12 divided by 8 = 1.5 (rounded to two significant figures)
- 7.59 divided by 2.2 = 3.45 (rounded to three significant figures)
Note that divisions such as 49 divided by 14 and 20 divided by 2 are straightforward because they result in whole numbers, and thus, the concept of significant figures primarily applies to the values given in the problem.
