An ant weighs about 2 * 10^-5 1b. There are about 1 * 10^15 ants on our planet. How much do all of the ants on Earth weigh? Express the answer in Scientific notation.



Answer :

To answer this question, we have that:

An ant weighs about:

[tex]2\cdot10^{-5}lb[/tex]

There are about:

[tex]1\cdot10^{15}ants\text{ in our planet}[/tex]

Then we need to multiply both values as follows:

[tex]2\cdot10^{-5}\frac{lb}{ant}\cdot1\cdot10^{15}ants[/tex]

Now, we can multiply both numbers as follows:

[tex]2\cdot1\cdot(10^{-5}\cdot10^{15}_{})=2\cdot(10^{-5+15_{}})=2\cdot10^{10}[/tex]

The units can be managed as follows:

[tex]\frac{lb}{ant}\cdot ant=lb[/tex]

In summary, therefore, we finally have that all of the ants on Earth weigh:

[tex]2\cdot10^{10}lb[/tex]