# Understanding Upper and Lower Bounds in Mathematics Dive into the world of upper and lower bounds. Discover how these crucial concepts impact measurement accuracy, data interpretation, and real-world applications in science and engineering.

Examples

**Evaluating the Upper and Lower Bounds**

Find the upper and lower bounds for each of the following scenarios:**Understanding the Limits of Accuracy**

In Sylvia's garden, the average width of a willow tree trunk is 136cm while that of a maple tree trunk is 172cm, both numbers corrected to the nearest centimeter. Find the greatest possible difference in their widths.- A rectangle with length 7cm and width 3cm is given. If both sides are measured to the nearest cm, find the smallest possible area.
- Michael takes 43s, to the nearest second, to finish a 400m sprint, measured to the nearest 10m. What is his fastest possible average speed?