Journey through how ancient civilizations counted and wrote numbers — from tally marks to Roman and Egyptian numerals — and see why place value changed everything.
Early civilizations counted using sticks, pebbles, and tally marks — a one-to-one mapping between objects and marks. Later, cultures like the Romans and Egyptians developed symbols for larger quantities.
Write 7 using tally marks.
|||| || (a group of 5 plus 2 more)
Write 14 in Roman numerals.
XIV
The Hindu number system's biggest breakthrough was place value combined with zero, letting any number be written using just ten digits, no matter how large.
Why is zero essential to the place value system?
Zero acts as a placeholder, letting digits shift position correctly — without it, 205 and 25 would look identical
If a number system used base 5 instead of base 10, how would the number 'twenty-three' (23 in base 10) be written?
23 = 4×5 + 3, so it would be written as 43 in base 5
1. Write 23 in Roman numerals.
2. Write 38 using tally marks (in groups of 5).
3. What advantage does place value have over symbol-based systems like Roman numerals?
4. Convert the base-10 number 17 into base 2 (binary).
5. Why couldn't ancient tally-mark systems easily represent very large numbers?