Find the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed).

Key Concepts: Order Of Magnitude Explanation: In order to find the order of magnitude, we need to make some assumptions about the size of a typical room and the size of a table-tennis ball. Step by Step Solution: Step 1. Assuming a typical room has dimensions 10m x 5m x 3m = 150 m^3 Step 2. Assuming a table-tennis ball has radius 2.5 cm = 0.025 m and volume (4/3) pi r^3 = 0.0000654498 m^3 Step 3. To find the number of table-tennis balls that can fit into the room, we need to divide the volume of the room by the volume of each ball: 150 m^3 / 0.0000654498 m^3 ≈ 2,292,636.26 Step 4. Since we are only interested in the order of magnitude, the answer is approximately 10^6 or one million. Final Answer: The order of magnitude of the number of table-tennis balls that would fit into a typical-size room is approximately 10^6 (one million).