Final answer:
For front-end rounding of the number 211, we maintain it as 200 based on the hundreds place. When rounding significant figures for the measurement 207.518 m, it transforms to 207.52 m, 207.5 m, and 208 m successively for five, four, and three significant figures respectively.
Step-by-step explanation:
The process of rounding off numbers is important for approximation and simplifying figures. When using front-end rounding for the number 211, we look at the highest place value, which is the hundreds place. Since the next highest place value (the tens place) is a 1, front-end rounding would still maintain the number as 200 because we do not round up if the next digit is less than 5.
Significant figures are crucial in determining how precise a measurement is. For a measurement like 207.518 m, which has six significant figures, rounding successively to fewer significant figures involves looking at each digit in the number and determining whether to round up or down based on the digit immediately to the right.
Examples of Rounding Significant Figures:
207.518 m rounded to five significant figures would be 207.52 m.
- Rounded to four significant figures, it would be 207.5 m.
- Rounded to three significant figures, the measurement is 208 m (since 7 is greater than 5, we round up the last significant figure).