Question

How do you write 0.076000000 in scientific notation?

Answer 1

Hint: This question is from the topic of algebra. In solving this question, we will first move the decimal to the right side so that we will get the number before decimal between 1 and 10. After that, we will multiply that number with 10 to the power of negative of a number. The number will be equal to the number of shifting times of decimal. After that, we will get our answer.

Complete step by step solution:
Let us solve this question.
In this question, we have asked to write the given number in scientific notation.
The given number is 0.076000000
As this number is smaller than 1, we will first make this number between 1 and 10 and then multiply with 10 to the power of some negative number.
So, let us shift the decimal to the right side of the number 0.076000000 by two times. We can write this as 7.6000000
Now, we will multiply 10 to the power of negative of 2 because we have shifted the decimal by 2 digits.
So, we can write the number 0.076000000 as
\[0.076000000=7.6000000\times {{10}^{-2}}\]
Now, we have found the scientific notation of 0.076000000.
The scientific notation of 0.076000000 is \[7.6000000\times {{10}^{-2}}\].
The scientific notation of 0.076000000 can also be written as \[7.6\times {{10}^{-2}}\].

Note: We should have a better knowledge in the topic of algebra to solve this type of question easily. Always remember the general form of scientific notation. The scientific notation is always in the form of \[N\times {{10}^{m}}\]. For converting into scientific notation, we will always make it in this form. Here, N is the digit between 1 to 10 and m is the shifting of decimals (if decimal shifting is to the right side then m will be negative and if the decimal shifting is to the left side, then m will be negative).