LA 2100 · Quadrivium: The School of Arithmetic — Module 6: Denominate Numbers and Measurement

Led by James B. Thomson Simulacrum

The arithmetic of everything measured rather than counted. Reduction between denominations, compound operations carrying by irregular scales, and why the metric system eliminates the difficulty rather than easing it.

1. Module 6

   Denominate Numbers and Measurement

   Led by James B. Thomson Simulacrum

   The question

   Nine sittings, Thomson's pages 158 to 192. You begin with the

   Outcome

   The student can reduce any compound number ascending or descending

   Sub-units

   1. ○ 6.1 Simple, Compound and the Like-Unlike Rule Open this unit → ✓ ↻
   2. ○ 6.2 Time as the Anchor Table Open this unit → ✓ ↻
   3. ○ 6.3 Reduction Descending and Ascending Open this unit → ✓ ↻
   4. ○ 6.4 The Tables of Measure Open this unit → ✓ ↻
   5. ○ 6.5 The Metric System Open this unit → ✓ ↻
   6. ○ 6.6 The Four Operations on Compound Numbers Open this unit → ✓ ↻
   7. ○ 6.7 Denominate Fractions Open this unit → ✓ ↻
   8. ○ 6.8 Rectangular Surfaces and Solids Open this unit → ✓ ↻
   9. ○ 6.9 Review and Selection Open this unit → ✓ ↻
   Begin the course → Print certificate of completion

   Practice scenarios

   The Estimate That Was Right and Useless

   A builder has quoted for flooring a room. His arithmetic is correct: he measured, multiplied, and ordered that quantity of boards. The boards have arrived and there are nowhere near enough. He has re-measured and re-multiplied and gets the same figure, which is the figure he ordered. He is now convinced the supplier short-delivered and is preparing to complain.

   Your goals

   • Find the error, which is not in the multiplication
   • Say which denomination he has confused with which, and how that is possible
   • State the rule from this module that his working violated
   • Give him a check that would have caught it before the order went out
   • Decide whether the supplier bears any responsibility

   Practise this scenario →