Convert 465 to a Roman numeral given that I=1, V=5, X=10, L=50, C=100, D=500, and M=1,000

We start with a total letter value of 465 that we want to work backwards with each letter until 0.

We want to build a Roman numeral term letter by letter as well, starting with nothing.

Dividing our current quantity of 465 by each Roman numeral Value, we need 4 of C

Since we want 3 or less of a letter, we need to do subtraction by writing the next letter of D in front of C

We piece that together with our Roman numeral(s) term of to get: + CD = CD

Since we needed 1 of the letter C and 1 of the letter D, our total value of letters becomes: 500 - 100 = 400

Our new decreasing total now becomes: 465 - 400 = 65

Dividing our current quantity of 65 by each Roman numeral Value, we need 1 of letter L

We piece that together with our Roman numeral(s) term of CD to get: CD + L = CDL

Since we needed 1 of the letter L, our total value of letters becomes: 1 * 50 = 50

Our new decreasing total now becomes: 65 - 50 = 15

Dividing our current quantity of 15 by each Roman numeral Value, we need 1 of letter X

We piece that together with our Roman numeral(s) term of CDL to get: CDL + X = CDLX

Since we needed 1 of the letter X, our total value of letters becomes: 1 * 10 = 10

Our new decreasing total now becomes: 15 - 10 = 5

Dividing our current quantity of 5 by each Roman numeral Value, we need 1 of letter V

We piece that together with our Roman numeral(s) term of CDLX to get: CDLX + V = CDLXV

Since we needed 1 of the letter V, our total value of letters becomes: 1 * 5 = 5

Our new decreasing total now becomes: 5 - 5 = 0

Since our decreasing total now equals 0, we have our answer of