Question
Question: How do you write \[4.052*{10^6}\] in standard form?...
How do you write 4.052∗106 in standard form?
Solution
Standard form is nothing but expanding the 10x and writing it in to a complete number. While converting it into a standard form be careful with the decimal point because it confuses the most. Learn how to convert both standard form into expanded form and expanded form into standard form.
Complete step by step solution:
Let us consider the given question:
4.052∗106
To convert this into a standard form, we should pick the number which is present in the power of 10.
Here in this problem the value of that number is 6. And now we have to move the decimal point six times to the right side and we get, 4052000
And this is our required solution.
Additional information: If the question is to convert 2.343∗10−3 into standard form, then we have to move the decimal point 3 to the left side. The answer for this question is 0.002343
Note: If the question is like, how do you write 3452700000 in a standard form we should also know how to convert it. For that, first count the 0’s which is there in the given question, here in this question we have five 0’s.
Now consider the decimal point in the above question is in the place after the 0’s 3452700000.0, now bring that decimal point backwards near to the number 3.
Count the number while bringing the decimal point near to the number 3, which will be equal to 9. And the answer for this question will be 3.4527∗109.