Question
The weight of an an average is about 3×10 to the -6 power kilograms they're about 1×10 to the 16th power ants in the world. What is the approximate weight in kilograms and of all the ants in the world write the answer in scientific notation.
Answers
GPT-4o mini
To calculate the approximate total weight of all the ants in the world, we can multiply the average weight of an ant by the total number of ants.
Given:
- Average weight of an ant = \(3 \times 10^{-6}\) kg
- Total number of ants = \(1 \times 10^{16}\)
Now we can perform the multiplication:
\[
\text{Total weight} = (\text{Average weight of an ant}) \times (\text{Total number of ants})
\]
\[
= (3 \times 10^{-6} \text{ kg}) \times (1 \times 10^{16})
\]
When multiplying numbers in scientific notation:
\[
= 3 \times 1 \times 10^{-6} \times 10^{16}
\]
\[
= 3 \times 10^{-6 + 16}
\]
\[
= 3 \times 10^{10} \text{ kg}
\]
Therefore, the approximate total weight of all the ants in the world is
\[
\boxed{3 \times 10^{10}} \text{ kg}.
\]
Given:
- Average weight of an ant = \(3 \times 10^{-6}\) kg
- Total number of ants = \(1 \times 10^{16}\)
Now we can perform the multiplication:
\[
\text{Total weight} = (\text{Average weight of an ant}) \times (\text{Total number of ants})
\]
\[
= (3 \times 10^{-6} \text{ kg}) \times (1 \times 10^{16})
\]
When multiplying numbers in scientific notation:
\[
= 3 \times 1 \times 10^{-6} \times 10^{16}
\]
\[
= 3 \times 10^{-6 + 16}
\]
\[
= 3 \times 10^{10} \text{ kg}
\]
Therefore, the approximate total weight of all the ants in the world is
\[
\boxed{3 \times 10^{10}} \text{ kg}.
\]