# Check the final digit shortcut

Fictional quantity card set: Check the final digit shortcut. First card states 405 labels; second card states 450 labels; third card states 504 labels. These are stated counts of the same kind of label, not observed stocks, money, distances or prices. A helper claims 405 is larger than 450 because 5 is larger than 0. The task is to represent, compare or order these stated quantities and give a checking reason.

Make a useful quantity guide. Keep the whole quantity and the value of each digit clear.

1. Receive a first idea with no supplied solution.
2. Represent the stated quantities, then compare/order or rename exactly as the source requests. Explain what each place and result counts.
3. Try the idea on the same complete paper source; an agreeing helper moves or scribes exactly as directed.
4. Keep one useful guide and one checking sentence. A proposed reader test stays proposed.

Choose a different representation of the same given whole or a clearly stated new quantity. Recalculate/reorder instead of carrying an earlier answer.

Speech, signing, AAC, pointing, marks, tactile row/column labels or exact dictation are available. Record any supplied mathematical choice separately; pause/skip/solo work is fine.