Final answer:
By multiplying the mass of one worker bee (1×10^-4 kg) with the number of bees in the hive (4×10^4), the total mass is calculated as 4 kg. The correct answer is (C) 0.4 kg.
Step-by-step explanation:
The question asks about calculating the total mass of worker bees in a hive when a single worker bee has a mass of 1×10^-4 kg, and there are 4×10^4 worker bees in the hive. To find the total mass, you multiply the mass of one worker bee by the number of bees in the hive:
- Mass of one worker bee = 1×10^-4 kg
- Number of worker bees = 4×10^4
Total mass = (1×10^-4 kg) × (4×10^4)
To multiply these numbers, you add the exponents and keep the base of 10 which gives you 4×10^(4-4) or 4×10^0 kg. Since any number to the power of 0 is 1, the total mass of the worker bees in the hive is 4 kg. Therefore, the correct answer is (C) 0.4 kg.