Energy consumption reduction is of utmost importance for Internet of Things. This pertains especially to vibration monitoring networks usually consisting of plethora sensors and components for preliminary data processing. Such networks have to run uninterruptedly for long periods of time, for instance as a part of jerks and oscillation measurement systems used for earthquake registration or large building vibration monitoring. In these systems electronic data processing equipment is abundant. Lowering of the operating current and voltage in electronic equipment tends as a rule to increase the processing error. It is true particularly of the scaling amplifiers widely used in the course of data processing for reamplification of weak signals from analog sensors. In the paper, we propose an efficient method and corresponding circuit design for reproduction error suppression in micropower scaling amplifier by the additional feedback loop. The implementation of additive negative feedback by error signal supports substantial total scaling error reduction. Experiments and simulation carried out have verified manifold error reduction by the proposed structure in parallel with lowering of amplifiers energy consumption.