Determine the accuracy of the measurement; that is, give the number of significant digits for the measurement. $424,77 \overline { 0 }$ L
A) 5
B) 8
C) 3
D) 6
E) 4

Question

Quizplus · Accepted Answer

The repeating decimal indicates that the measurement was likely taken with a device that has a limit on its precision, such as a graduated cylinder or burette. The nonzero digits before the repeating decimal are significant, so there are 4 significant digits. The repeating decimal itself tells us that the precision is limited to the tenths place, so there are 2 additional significant digits for a total of 6. Therefore, the accurate measurement has 6 significant digits, which is represented by choice D.

Determine the Accuracy of the Measurement; That Is, Give the Number