Question

How do you write \[0.035\] in scientific form?

Answer 1

Hint: For solving the above question we have to write the given decimal number into the scientific form. Scientific form is a way of writing in which an integer is multiplied with 10 with raising a power ‘n’ which is also an integer. So, therefore we have to convert the decimal into scientific form.

Complete step by step answer:
For the given problem we are given to write the decimal in scientific form.
So, let us assume the given decimal number as ‘S’ as well as consider the equation as equation (1).
\[S=0.035.........\left( 1 \right)\]
As we know scientific notation of a number means it is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Mathematically it is represented as \[a\times {{10}^{n}}\].
Let us write the equation in the form of scientific notation.
To get \[0.035\] between 1 and 10, we should move the decimal to the right side of 2 places.
Therefore have to raise -2 as power to the number 10, we get
\[\Rightarrow 3.5\times {{10}^{-2}}\]
Let us consider the given equation as equation (2).
\[\Rightarrow 3.5\times {{10}^{-2}}.......\left( 2 \right)\]

Hence, we can say that the scientific form of \[0.035\] is \[3.5\times {{10}^{-2}}\].

Note: While converting any number into we should note a point that we have to raise a power to the 10 and it is completely based on the decimal point given in the number. If the given number is less than one then the power will be negative and vice versa.