Question

How do you express \[4.01\times {{10}^{0}}\]in standard notation?

Answer 1

Hint: In this type of question that has been mentioned above we need to convert \[4.01\times {{10}^{0}}\] into a form in which there is no decimal place i.e. we need to open up the whole value like opening up \[{{10}^{3}}\] as 1000, so this is what we need to do when it said to convert it into a standard form.

Complete step by step answer:
In the above type of question the value that has been given to us has been shortened from its standard notation to the form given in the question. We usually convert standard notation into short because the value is approximately equal to the value mentioned so as to reduce the size of the value.
This value that has been mentioned in the question is also the shortened value now so as to convert this value into its standard notation we will have to first write \[{{10}^{0}}\] into standard notation then we will have to multiply it by its value i.e. its coefficient which in the question stated above is mentioned as 4.01. When we multiply the standard form of \[{{10}^{0}}\] and the coefficient i.e. 4.01 we will be able to find out the standard value of the desired question.
So the required solution to the mentioned question is
\[\begin{align}
  & =4.01\times 1 \\
 & =4.01 \\
\end{align}\]

So the standard form of the value required in the question is 4.01.

Note: In these type of questions when there is standard value is required always remember to check the number of zeros you have placed in place of \[{{10}^{a}}\] so as to get a proper final standard value, if there are decimal places we need to remove the number of decimal places with number of zeros given in the question.