Question

How do you express \[0.000078\] in scientific form?

Answer 1

Hint: For answering this question we have been asked to express the given number \[0.000078\] in scientific notation. Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers. So, we will express this in this form with some simplifications.

Complete step by step solution:
Now considering from the question we need to express the given number \[0.000078\] in scientific notation.
From the basic concepts we can say that Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers and \[1\le a\le 9\].
Here the number we have is \[0.000078\] we need to express this number in scientific form.
Let us simply write the given number as
 \[\Rightarrow 0.000078=0.78\times {{10}^{-4}}\] .
This number can be further simplified as
\[\Rightarrow 0.78\times {{10}^{-4}}=7.8\times {{10}^{-5}}\].
Hence, we can say that the number \[0.000078\] expressed in scientific notation is \[7.8\times {{10}^{-5}}\].

Note: Students should not make any calculation mistakes. students should remember that the value of a in $a\times {{10}^{b}}$ should be in \[1\le a\le 9\].We have to be very careful while answering questions of this type these questions do not require much calculations so there is very less possibility of doing mistakes in questions of this type. While answering questions of this type we should be sure with our calculations and concepts.