Q30. - Algebra 1

Question

Express the given number in scientific notation.

 

$0.0000543$

Step-by-Step Solution

Answer

The required scientific notation is $5.43\times {10}^{-5}$.

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 0 . 0000543 in scientific notation.

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

$0.0000543\to 5.43$

So, $a=5.43$

The decimal point is moved 5 places to the right.

So, $n=-5$

Hence,

$0.0000543=5.43\times {10}^{-5}$

Therefore the required scientific notation is $5.43\times {10}^{-5}$.