To find the total weight of all the ants in the world, you can multiply the weight of a single ant by the total number of ants:
\[ \text{Total weight} = \text{Weight of one ant} \times \text{Number of ants} \]
Given:
- Weight of one ant = \( 3 \times 10^{-6} \) kg
- Number of ants = \( 1 \times 10^{16} \)
Now, perform the multiplication:
\[ \text{Total weight} = (3 \times 10^{-6} , \text{kg}) \times (1 \times 10^{16}) \]
Calculating the multiplication:
\[ 3 \times 1 = 3 \] \[ 10^{-6} \times 10^{16} = 10^{-6 + 16} = 10^{10} \]
Now, combining both results:
\[ \text{Total weight} = 3 \times 10^{10} , \text{kg} \]
Therefore, the approximate weight in kilograms of all the ants in the world is:
\[ \boxed{3 \times 10^{10}} , \text{kg} \]
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