Chapter 1, Problem 1RP

Express 4,750 in scientific notation.

To determine

Express the number 4,750 in scientific notation.

Answer to Problem 1RP

The given number 4,750 is expressed in scientific notation as $\underset{\_}{4.75\times {10}^3}$.

Explanation of Solution

Calculation:

In a scientific notation, any quantity can be expressed as a product of a number and a power of 10. Where a number must be exist between 1 and 10.

Scientific notation is $n\times {10}^x$.

Here,

$n$ is a number between 1 and 10.

$x$ is a power of 10.

Write the given number as follows to write in scientific notation.

$\begin{array}{l}4,750=\frac{4,750}{1000}\times 1000\\ 4,750=4.750\times 1000\\ 4,750=4.75\times {10}^3\end{array}$

The scientific notation of 4,750 is $4.75\times {10}^3$.

Conclusion:

Thus, the given number 4,750 is expressed in scientific notation as $\underset{\_}{4.75\times {10}^3}$.