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Error Accumulation in Repeated Calculations

Upper and Lower Bounds, Accuracy, and Error Intervals

10th Grade·Math·Open Global Math

Updated 1 month ago · 2 views

Analyze how truncation, rounding, and measurement tolerances compound across iterative multi-step calculations.

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Upper and Lower Bounds, Accuracy, and Error Intervals

10th Grade · Math · Open Global Math

5 lessons

Goal

Calculate bounds of rounded numbers and determine error propagation across multi-step arithmetic, geometric, and physical calculations.

5 lessons

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Finding Upper and Lower Bounds of Rounded NumbersUp next
Calculating with Upper and Lower BoundsNot started yet
Bounds in Geometric Formulas and Multi-Variable CalculationsNot started yet
Error Accumulation in Repeated CalculationsYou are here
Determining Appropriate Degrees of Accuracy for Final AnswersNot started yet

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Learning standards covered

OGM.11.NUM.1Open Global Math Standards 2026™ · 10th Grade

Analyze real numbers (rational and irrational numbers, density, decimal representations, surds, indices); perform exact calculations with fractional powers and radicals; simplify surds and rationalize denominators; use scientific notation; and apply upper/lower bounds and error intervals.