Question

These exercises involve scientific notation.

Write the number $78,250,000,000$in scientific notation.

Short answer

The scientific notation of$78,250,000,000$ is $7.825\times {10}^{10}$.

Step-by-step solution

Step 1. Definition of scientific notation.

Scientific notation is a method to rewrite a large number in terms of a decimal number between$1$ and$10$ multiplied by a power of $10$.

For example: The scientific notation of$75000$ is $7.5\times {10}^4$.

Step 2. Given Information.

The given number is $78,250,000,000$.

Step 3. Scientific notation of the given number.

The given number can be rewritten as:

$\begin{array}{c}78,250,000,000=7825\times 10,000,000\\ =7.825\times 1000\times 10,000,000\\ =7.825\times 10,000,000,000\\ =7.825\times {10}^{10}\end{array}$

Thus, the scientific notation of$78,250,000,000$ is $7.825\times {10}^{10}$.