asked 179k views
5 votes
Consider that 1 in=2.54 cm. if 1559 cm is converted to inches, how many significant figures should be in the answer

2 Answers

1 vote

Final answer:

To convert 1559 cm to inches, divide by 2.54, and the result should be reported with the same number of significant figures as the given measurement, which is four. Thus, 1559 cm is equal to 613.8 inches.

Step-by-step explanation:

To convert 1559 cm to inches using the conversion factor 1 inch = 2.54 cm, we divide 1559 by 2.54. The number 1559 has four significant figures because all non-zero digits are considered significant. Since the conversion factor 2.54 cm per inch is exact and does not limit the number of significant figures, the result should also be reported with four significant figures.

The calculation would be as follows:

  1. 1559 cm ÷ 2.54 cm/in = 613.7795 inches
  2. To match the number of significant figures in 1559, we round the result to four significant figures.
  3. So, 1559 cm is equal to 613.8 inches when converted and properly rounded.

answered
User Steven Siew
by
7.8k points
2 votes
456.29 in the answer there
should be 5 significant figures.
answered
User Rahul Lodha
by
8.3k points
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