What is the solution to the problem expressed to the correct number of significant figures? (102,900 ÷ 12) + (170 × 1.27) = ?

8700

Explanation:

First, do the operations inside parentheses.

102 900/12 = 8600     2 sfs because of 12

170/1.27 = 130              2 sfs because of trailing 0 in 170

Now, do the addition.

 8600

 + 130

8700

The answer has two significant figures because when adding, you must round your answer to the same "place" as the measurement with its last significant figure furthest to the left.  

The last significant figure in 8600 (the 6, in the hundreds place) is further to the left than the last significant figure in 130 (the 3, in the tens place).

We round off to the nearest hundred and get the answer, 8700.