Question

How do you write \[23.6\] in scientific notation?

Answer 1

Hint: According to the given question, we will try to convert the given number where the form will range between \[1\] and \[10\] . To convert that, we will try to shift the decimal point or the decimal dot in a form where the resulting number will be greater than \[1\] but that number will also be less than \[10\] .
Formula used: \[m \times {10^n}\]

Complete step by step solution:
The scientific form or the standard form is written in a specific pattern or in a specific form. The form is:
 \[m \times {10^n}\]
Here \[m\] is the number which will range between \[1\] and \[10\] , \[n\] is the exponent that can be either a positive or a negative number.
After this we will convert the given number in the proper scientific notation. To do this, we will shift the decimal point once to the left. In simple terms, we can also say that we will make the decimal point jump over the left side once.
Now, we got our \[m\] to be \[2.36\] as a result. If we notice, then \[m\] is now in the range between \[1\] and \[10\] . The number now is greater than \[1\] and less than \[10\] .
We had shifted the decimal point one place over left, so the exponent which is denoted by the symbol \[n\] is \[1\] . Here, the \[n\] will be positive, because it is shifting to the left side. So, \[n = 1\] .
Therefore, our final step is to write the values of \[m\] and \[n\] in the given format. The result is:
 \[23.6 = 2.36 \times {10^1}\]
So, the correct answer is “ \[23.6 = 2.36 \times {10^1}\] ”.

Note: If we write that \[2.36\] is the scientific notation of \[23.6\] , then we can also write that \[2.36e - 4\] is the scientific e-notation of \[23.6\] . One important thing to remember is to always shift the decimal points correctly and to count the number of zeros properly to avoid any kind of mistake.