Question

give an example of adding two measurements that cannot be added.
○ 2 m + 4 km
○ 1 second + 4 ounces
○ 2 inches + 9 feet
○ 3 kg + 8 kg

Explanation:

To determine which measurements cannot be added, we check if they have the same physical quantity (dimension).

• \(2\,\text{m} + 4\,\text{km}\): Both are length (can be converted to same unit, e.g., meters: \(4\,\text{km}=4000\,\text{m}\), so \(2 + 4000 = 4002\,\text{m}\)).
• \(1\,\text{second} + 4\,\text{ounces}\): Second is time, ounce is mass (different dimensions, cannot be added).
• \(2\,\text{inches} + 9\,\text{feet}\): Both are length (convert to inches: \(9\,\text{feet}=108\,\text{inches}\), so \(2 + 108 = 110\,\text{inches}\)).
• \(3\,\text{kg} + 8\,\text{kg}\): Both are mass (adds to \(11\,\text{kg}\)).

Answer:

B. \(1\) second \(+ 4\) ounces