In Measurement A scientist who reports a measurement is also supposed to say how accurate the number is. There are rules for calculating the standard error value. On a graph, this often referred to as an error bar , because a value is drawn as a bar instead of as a point. So, the newer measurement technique is approximately 20 million times more precise. But we still need to know the standard error of the newer measurement.
Measurements are never infinitely precise.
Notice that the new value falls inside the standard error of the old value. This means that the two results are compatible. If they weren't compatible, we would want an explanation. If you have studied statistics, you will realize that the main value says where to draw the center of a bell curve. The standard error is basically giving the width of that bell curve.