The number 80710 is rounded to 2 SF?
The choices are confusing
A) 80700 B)81000 C)8070 D)8100 E) None
Is E correct?
B and D are both 2SF A and C are 3SF???
Thanks for you help.
You started out with over 80 thousand, so C and D are not correct. The two significant figures should be in the ten thousand and thousand columns.
To determine the number of significant figures (SF) in a number, we need to consider the non-zero digits as well as any zeros that are between non-zero digits or at the end of a number after a decimal point.
In the case of the number 80710, there are five digits. However, when rounded to 2 SF, we only need two significant figures. To determine the rounded number, we look at the digit to the right of the desired SF. If it is 5 or greater, we round up; if it is less than 5, we round down.
Looking at the digit to the right of the second significant figure (0), which is 7, we round up. Therefore, the rounded number to 2 SF is 80700 (A).
So, answer choice A is correct: 80710 rounded to 2 SF is 80700.
Answer choices B and D (81000 and 8100) are not correct because they include additional significant figures beyond the two required by the rounding. Similarly, answer choices C (8070) is not correct because it has three significant figures, which is more than the desired two.
Therefore, the correct answer is A) 80700.