Number systems
Answers are for parents and teachers.
1
Write ten consecutive numbers in base 5 starting from 30.
30, 31, 32, 33, 34, 40, 41, 42, 43, 44
2
Write 2503 in expanded form in the decimal system.
2 · 1000 + 5 · 100 + 0 · 10 + 3
3
Write the expanded form of 1101₂ (do not evaluate).
1 · 2³ + 1 · 2² + 0 · 2¹ + 1 · 2⁰
4
Which ancient number systems do the 60 in hours/minutes and the 12 months of the year remind us of? Answer briefly.
60 – the Babylonian base-60 system; 12 – a base-12 system.
5
Who was al-Khwarizmi and how did the word “algorithm” appear? Write 2–3 sentences.
He was a scholar born in Khorezm and the author of a treatise on Hindu arithmetic; the word “algorithm” spread from “Dixit Algorizmi” in the Latin translation.