Mathematics Class 8
A Story of Numbers
Compare tally marks, Roman numerals and place value, and see what each one costs.
11 lessons · ~64 min total
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Lessons in this topic
- 0 Start here A roadmap: one mark per thing, bundles, symbols added up, a place that decides the worth, an empty column, ten symbols, and two ways of adding. · 4 min You are here
- 1 One mark for one thing The simplest record of a count is one mark per thing, and a long loose row is slow to read. · 5 min
- 2 Marks in bundles can be read at a glance A gap every few marks turns a count into bundles plus a few loose, and the group size is a choice. · 5 min
- 3 A number as the total of its symbols Roman symbols add up to a total, and six pairs take one symbol away. · 6 min
- 4 Where a digit sits decides what it is worth In our system a symbol has no fixed worth — the column it sits in decides, so order carries meaning. · 6 min
- 5 A mark for an empty place Take away the symbol that holds an empty column, and two different numbers come out written the same way. · 6 min
- 6 Ten symbols will write any whole number Ten marks, a rule about position, and a zero together reach every whole number, however large. · 6 min
- 7 The same sum, worked out two ways Adding by columns and by re-bundling symbols both give the right answer, but one costs far more writing. · 7 min
- 8 One number, several ways of writing it The same amount written with seven symbols and with ten, and how the two compare in length. · 6 min
- 9 The big picture Eight ideas, tied back together. · 5 min
- 10 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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