Question

How do you write \[2.74\times {{10}^{-5}}\] in standard form?

Answer 1

Hint: In this question, we can see that this question belongs to the chapter of pre-algebra. We should know everything about this topic for solving this question. We should have a proper knowledge in scientific form and standard form. Always remember that whenever we multiply a decimal number to \[{{10}^{-n}}\], then the decimal in that number will shift by n times to the left side of that number.

Complete step-by-step answer:
Let us solve this question.
This question has asked us to convert the term \[2.74\times {{10}^{-5}}\] into standard form.
We can see that the term \[2.74\times {{10}^{-5}}\] is scientific notation and we are going to convert this scientific notation to standard form.
To write the scientific term \[2.74\times {{10}^{-5}}\] into standard form, we will multiply the term \[2.74\]with\[{{10}^{-5}}\].
The term \[2.74\times {{10}^{-5}}\] also can be written as\[000002.74\times {{10}^{-5}}\].
Now, we will shift the decimal by 5 to left side from that decimal and remove the term \[{{10}^{-5}}\] from the term \[2.74\times {{10}^{-5}}\] to make that term in standard form.
So, we can write the term \[000002.74\times {{10}^{-5}}\] as \[0.0000274\]
Hence, the standard form of \[2.74\times {{10}^{-5}}\] is \[0.0000274\]

Note: For solving this type of question, we should know about scientific notation or form and standard notation or form.
For the standard notation or form, we write the number after multiplying the number (which may be decimal form and may not be in decimal form) with 10 to the power of n. So, in standard form 10 to the power of n is multiplied and so that 10 to the power of n is being removed and converted to the decimal.
And, for the scientific notation, the multiplication of 10 to the power of n is shown like this:\[x.yz\times {{10}^{n}}\]
Where, x.yz is any number and n can be positive or negative. Here, x.yz has been taken as reference. It can be any number in place of that.