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Roman numerals

Method: Add, but take away a smaller symbol written before a larger one

Roman numerals use letters: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000. Usually the symbols go from largest to smallest and you add them: XXVII = 27. When a smaller symbol comes just before a larger one, take it away: IV = 4, IX = 9, XL = 40, XC = 90. To write a number, split it by place value and write each part.

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Maths you can move

Build 8 + 5

Tap two gold counters to fill the ten-frame.

8 in the frame + 5 waiting. The total stays the same.

Words to know

Roman numeral
a number written with the letters I, V, X, L, C, D and M
subtractive pair
a smaller symbol before a larger one, like IV = 4

Worked examples

What number is XXVII?

  1. 1.X + X + V + I + I.
  2. 2.10 + 10 + 5 + 1 + 1 = 27.

= 27

What number is XLIV?

  1. 1.XL = 50 − 10 = 40 and IV = 5 − 1 = 4.
  2. 2.40 + 4 = 44.

= 44

Write 1994 in Roman numerals.

  1. 1.1994 = 1000 + 900 + 90 + 4.
  2. 2.M + CM + XC + IV.

= MCMXCIV

For parents

Method: Add, but take away a smaller symbol written before a larger one

What to say: Are the symbols getting smaller? Is a smaller one sitting before a larger one?

Common mistakes:

  • Ignores the subtraction rule: adds every symbol when reading, and writes 4s and 9s by repeating symbols.
  • Mixes up the values of V (5) and X (10).
  • Mixes up the values of L (50) and C (100).
  • Takes away a smaller symbol that comes AFTER a larger one (reads VII as 3 and LX as 40).