
Write the following number in the standard form (or scientific notation):
2.35
Answer
510.6k+ views
Hint: We have given a number 2.35 and we have to write its standard form (or scientific notation). We know that while converting the number into the scientific notation we have to first convert the number into a form in which a number is represented in the form of a number from 1 to 10 then arrange the decimals so that our original number won’t lose.
Complete step-by-step answer:
We have been given a number 2.35 which we have to write in the standard form (or scientific notation).
We know that, when we write a number into a standard form (or scientific notation) then first of all we represent the number from 1 to 10. For e.g. if we have to convert a number which is 165.22 into standard from then we have to first write the number in the form of 1 to 10 by shifting the decimals in such a way that we can write the number from 1 to 10.
1.6522
As you can see that the above number is in the form of a number which lies in the range of 1 to 10 but if you can see carefully, we lost our original number i.e. 165.22 so we have to multiply the number by 100 so the identity of the number won’t lose. So, the number becomes:
$1.6522\times 100$
Now, if you multiply the number 1.6522 by 100 we will get the original number i.e. 165.22.
Using this method in the number asked in the above question which is 2.35. If you see this number, it is already written in the range of 1 to 10 so there is no need to change the number.
Hence, the number given in the question is already written in the standard form (or scientific notation).
Note: The message that we get from solving this problem is that it is not always necessary to convert the number into standard form. There are cases when the number is already given in the standard form just like it is given in this problem so don’t use your extra mind to unnecessarily solve this problem just for the sake of solving it.
Complete step-by-step answer:
We have been given a number 2.35 which we have to write in the standard form (or scientific notation).
We know that, when we write a number into a standard form (or scientific notation) then first of all we represent the number from 1 to 10. For e.g. if we have to convert a number which is 165.22 into standard from then we have to first write the number in the form of 1 to 10 by shifting the decimals in such a way that we can write the number from 1 to 10.
1.6522
As you can see that the above number is in the form of a number which lies in the range of 1 to 10 but if you can see carefully, we lost our original number i.e. 165.22 so we have to multiply the number by 100 so the identity of the number won’t lose. So, the number becomes:
$1.6522\times 100$
Now, if you multiply the number 1.6522 by 100 we will get the original number i.e. 165.22.
Using this method in the number asked in the above question which is 2.35. If you see this number, it is already written in the range of 1 to 10 so there is no need to change the number.
Hence, the number given in the question is already written in the standard form (or scientific notation).
Note: The message that we get from solving this problem is that it is not always necessary to convert the number into standard form. There are cases when the number is already given in the standard form just like it is given in this problem so don’t use your extra mind to unnecessarily solve this problem just for the sake of solving it.
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