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Roman numerals · Usually met around P3

Converting and comparing Roman numerals

Change to our numerals first, then compare.

How to do it

Method

Change to our numerals first, then compare

VIII = 8 < IX = 9

Another way

Biggest group first

MCD vs MCC: same thousands, CD = 400 > CC = 200

In full

Roman to our numerals: split the letters into thousands, hundreds, tens and ones, read each group and add; or go left to right, taking away a smaller letter before a bigger one. Our numerals to Roman: write place by place, and write nothing for a 0: 307 = CCC + VII = CCCVII. To compare two Roman numerals, never go by how many letters: VIII has four letters but is smaller than IX, which has two. Change both to our numerals and compare; or compare the biggest group first: the thousands' M's, then the hundreds if those match, and so on.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    The number on the left tablet is bigger than the one on the right.

    True or false?

    Show the answer and working

    Answer: True

    In our numerals the left is 97 and the right is 72. Don't go by how many letters.

  2. Example 2

    How many of the four tablets show a number bigger than 1699?

    Show the answer and working

    Answer: 0

    Change each to our numerals: 1074, 1182, 1480, 1151. 0 of them are bigger than 1699.

  3. Example 3

    Of the three tablets' numbers, the biggest is □ and the smallest is □.

    Fill in each box

    Show the answer and working

    Answer: 279,10

    Change each to our numerals: 89, 279, 10. Biggest 279, smallest 10.

Practise it in the game →Roman numerals · Free to start, unlimited questions, no download