Oni was timing her 100 meter sprints. Her first five sprints were 12.568 seconds, 11.426 seconds, 12.324 seconds, 11.981 seconds, and 12.601 seconds. Which two estimation techniques will give the same result for the total number of seconds for all five sprints?
Answer
A
front-end and clustering
B
front-end and rounding to the nearest tenth
C
clustering and rounding to the nearest tenth
D
rounding to the nearest tenth and rounding to the nearest hundredth
Explanation
Rounding each sprint time to the nearest tenth gives 12.6 + 11.4 + 12.3 + 12.0 + 12.6 = 60.9 seconds. Rounding to the nearest hundredth gives 12.57 + 11.43 + 12.32 + 11.98 + 12.60 = 60.90 seconds, which is the same total. Therefore, the matching techniques are rounding to the nearest tenth and rounding to the nearest hundredth.
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