Question

Multiply in Scientific Notation Practice
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Question
The weight of an ant averages about 3×10−6
kg. There are about 1×1016
ants in the world. What is the approximate weight in kilograms of all the ants in the world? Write the answer in scientific notation.(

Answer 1

To find the approximate weight of all the ants in the world, you need to multiply the average weight of one ant by the total number of ants.

Given:
- Weight of one ant = \( 3 \times 10^{-6} \) kg
- Number of ants = \( 1 \times 10^{16} \)

Now perform the multiplication:

\[
(3 \times 10^{-6}) \times (1 \times 10^{16})
\]

First, multiply the coefficients (the numbers before the powers of ten):

\[
3 \times 1 = 3
\]

Next, add the exponents of the powers of ten:

\[
-6 + 16 = 10
\]

Now combine these results:

\[
3 \times 10^{10}
\]

So, the approximate weight of all the ants in the world is:

\[
\boxed{3 \times 10^{10}} \text{ kg}
\]