What is the scientific notation for 7000?

Answer 1

Scientific notation7000 = 7 x 103

There is some ambiguity in nice round numbers like 7000, because you don't know how many significant digits it represents. Is the 7000 a rounding up from 6999, 6991, or 6911 -- or is it EXACTLY 7000?

Scientists would take care of that ambiguity by writing

7.00 x 103, 7.0 x 103, 7 x 103 -- or 7.000 x 103. The last one has four significant figures.

Engineers write it as 7E3. (Note that the "3" is NOT a superscript in engineering notation, as it is with scientific notation.)

AnswerThe answer is 7 times 10 to the 3rd power. Why can't you answer simple question in math like this!It was too easy!It was our lesson today in grade 5.I think you are older than me.Please don't ask easy questions in math. Math is my favorite subject!!!!

Be careful here, nothing is trivial or obvious. On one level this question seems trivial, but on other level it is not. Why? In the domain of representing numbers in pure mathematics, they can be considered as being represented Exactly by either an unlimited number of digits via say a decimal expansion, think of the the rational number 1/3. The exact representation is 1/3, but what about the decimal expansion?

Once we come into the REAL world where practical measurement come in the number representations are not so clear cut and the concept of significant digits comes into its own, that is digits we are confident in our measuring. I mean is the 7000, 7000.000 if it is then in scientific notation its 7.000 X 10 to the power of 3 not 7 x 10 to the power of 3. I hope this makes sense many of my university students have trouble with significant figures, this is what this example was trying to get across, a deeper idea of the conflict between the ideal world and the practical measuring world.