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## Main Question or Discussion Point

When we are rounding to the nearest order of magnitude and faced with a number like 3.2*10^2 should we round it to 10^2 or 10^3?

At first thought, I would round it to 10^2 for obvious reasons like 320 is closer to 100 than 1000.

But 320=10^2.505 and if we round 2.505 it becomes 3 so following this reasoning 320 would be rounded to 10^3.

How should we go about this?

At first thought, I would round it to 10^2 for obvious reasons like 320 is closer to 100 than 1000.

But 320=10^2.505 and if we round 2.505 it becomes 3 so following this reasoning 320 would be rounded to 10^3.

How should we go about this?