Roman numeral conversion

The question

98 in Roman numerals

pieces:XCVIII
pieces:XCVIII
pieces:XCVIII
XC=100 − 10
pieces:XCVIII
values:905111
XCVIII=98
  1. Build it from the biggest pieces down. 98 splits into 90 + 5 + 1 + 1 + 1.
  2. XC is a pair, not two letters each. A SMALLER letter in front of a bigger one is taken away: XC is 90 — not 110.
  3. Read it as "one short of the next one up": XC is 100 take away 10. That is the same idea as XL, one size larger.
  4. Written out in order, biggest first, those pieces are XCVIII — and reading it back adds up to 98 again, which is the check.

How it works.

  1. 01

    Build it from the biggest pieces down. 98 splits into 90 + 5 + 1 + 1 + 1.

  2. 02

    XC is a pair, not two letters each. A SMALLER letter in front of a bigger one is taken away: XC is 90 — not 110.

  3. 03

    Read it as "one short of the next one up": XC is 100 take away 10. That is the same idea as XL, one size larger.

  4. 04

    Written out in order, biggest first, those pieces are XCVIII — and reading it back adds up to 98 again, which is the check.