Adding and Subtracting Larger Numbers


Overview

This foundational mathematics course develops accurate and efficient addition and subtraction of large whole numbers. Students study place value through at least the hundred-thousands and millions, expanded and standard notation, comparison and ordering, estimation, mental-mathematics strategies, regrouping across multiple places, and multi-step numerical computation.

Instruction integrates base-ten models, number lines, place-value charts, area-based methods, equations, and written explanations. Applications include money, distances, populations, measurements, schedules, and everyday quantitative situations. Students learn to align numbers accurately, verify results through estimation and inverse operations, identify common errors, and select appropriate methods for varied problems.

Learning Outcomes

  • Read and write whole numbers through at least the millions using standard and expanded notation.
  • Explain the role of place value in comparing, ordering, adding, and subtracting larger whole numbers.
  • Apply accurate regrouping procedures across multiple place values in addition and subtraction.
  • Estimate sums and differences and evaluate the reasonableness of exact results.
  • Select and use efficient mental, written, visual, and area-based methods for numerical computation.
  • Diagnose and correct common errors in alignment, place value, regrouping, and calculation.
  • Solve one-step and multi-step problems involving money, distance, population, measurement, schedules, and everyday contexts.
  • Communicate mathematical reasoning using equations, models, complete explanations, and inverse-operation checks.

Timetable

TypeLengthFrequencyPeriod
Lecture2 hoursWeeklyAll semester
Tutorial1 hourWeeklyAll semester
Lab1 hourWeeklyAll semester

Assessment Schedule

TypeDescriptionWeighting
AssignmentComputation practice (6 × 5%)30.00%
AssignmentError analysis and estimation tasks (2 × 10%)20.00%
AssignmentContextual problem-solving assignment15.00%
TestPractical computation test15.00%
ExamFinal examination20.00%

Prerequisites

Teaching Staff & Programs

This course is delivered jointly by faculty from the participating programs listed below. In line with the Douchewater Way, the University of Sexology tailors core instruction directly to each cohort's specific discipline — adapting curriculum to program needs rather than forcing students into a one-size-fits-all model. Learn more about our approach at The Douchewater Way.