To find the approximate weight of all the ants in the world, you can multiply the average weight of one ant by the total number of ants.
The average weight of one ant is \(3 \times 10^{-6}\) kg and the number of ants is \(1 \times 10^{16}\).
The calculation is as follows:
\[ \text{Total weight} = (\text{Weight of one ant}) \times (\text{Number of ants}) = (3 \times 10^{-6} \text{ kg}) \times (1 \times 10^{16}) \]
Now, we can multiply these values:
\[ 3 \times 1 = 3 \quad \text{(the coefficients)} \]
\[ 10^{-6} \times 10^{16} = 10^{(-6 + 16)} = 10^{10} \quad \text{(the powers of 10)} \]
Now we put it all together:
\[ \text{Total weight} = 3 \times 10^{10} \text{ kg} \]
Therefore, the approximate weight of all the ants in the world is \(3 \times 10^{10}\) kg.
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