Q29. - Algebra 1

Question

Express the given number in scientific notation.

$2300000$

Step-by-Step Solution

Answer

The required scientific notation is $2.3\times {10}^6$.

Step 1. Define an integer.

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

Step 2. Define scientific notation.

A number written in scientific notation is of the form $a\times {10}^n$, where $1\le a<10$ and $n$ is an integer. 

Step 3. Express the number 2300000 in scientific notation.

Move the decimal point until it is right of the first non-zero digit.

$2300000\to 2.300000$

So, $a=2.300000$

The decimal point is moved 6 places to the left.

So, $n=6$

Hence,

$\begin{array}{c}2300000=2.300000\times {10}^6\\ =2.3\times {10}^6\end{array}$

Therefore the required scientific notation is $2.3\times {10}^6$.