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Roman Numerals 1 to 4000

Roman Numerals 1 to 4000 is the list of numbers from 1 to 4000 represented in their corresponding roman numeral translation. Roman Numerals 1 to 4000 will help students to learn numbers to roman numeral translations effortlessly. In this article, we have simplified all the rules that are followed while writing roman numerals from 1 to 4000.

Roman Numbers 1 to 4000 Chart

We have provided a printable roman numbers 1 to 4000 chart to assist students in prioritizing and planning their revision.

Roman Numbers 1 to 4000

1. Roman Numerals from 1 to 4000
2. PDF Download
3. How to Write Roman Numerals?
4. FAQs

Roman Numerals from 1 to 4000

Roman numerals 1 to 4000 can help understand numbers to roman numerals conversion for numbers up to 4000. The list of roman numerals from 1 to 4000 is listed in the table below.

List of Roman Numerals from 1 to 4000

1 = I 2 = II 3 = III 4 = IV 5 = V
6 = VI 7 = VII 8 = VIII 9 = IX 10 = X
21 = XXI 22 = XXII 23 = XXIII 24 = XXIV 25 = XXV
26 = XXVI 27 = XXVII 28 = XXVIII 29 = XXIX 30 = XXX
31 = XXXI 32 = XXXII 33 = XXXIII 34 = XXXIV 35 = XXXV
46 = XLVI 47 = XLVII 48 = XLVIII 49 = XLIX 50 = L
51 = LI 52 = LII 53 = LIII 54 = LIV 55 = LV
61 = LXI 62 = LXII 63 = LXIII 64 = LXIV 65 = LXV
66 = LXVI 67 = LXVII 68 = LXVIII 69 = LXIX 70 = LXX
76 = LXXVI 77 = LXXVII 78 = LXXVIII 79 = LXXIX 80 = LXXX
81 = LXXXI 82 = LXXXII 83 = LXXXIII 84 = LXXXIV 85 = LXXXV
96 = XCVI 97 = XCVII 98 = XCVIII 99 = XCIX 100 = C
150 = CL 200 = CC 250 = CCL 300 = CCC 350 = CCCL
400 = CD 450 = CDL 500 = D 550 = DL 600 = DC
650 = DCL 700 = DCC 750 = DCCL 800 = DCCC 850 = DCCCL
900 = CM 950 = CML 1000 = M 1050 = ML 1100 = MC
1400 = MCD 1450 = MCDL 1500 = MD 1550 = MDL 1600 = MDC
1650 = MDCL 1700 = MDCC 1750 = MDCCL 1800 = MDCCC 1850 = MDCCCL
1900 = MCM 1950 = MCML 2000 = MM 2050 = MML 2100 = MMC
2150 = MMCL 2200 = MMCC 2250 = MMCCL 2300 = MMCCC 2350 = MMCCCL
2400 = MMCD 2450 = MMCDL 2500 = MMD 2550 = MMDL 2600 = MMDC
2650 = MMDCL 2700 = MMDCC 2750 = MMDCCL 2800 = MMDCCC 2850 = MMDCCCL
3400 = MMMCD 3450 = MMMCDL 3500 = MMMD 3550 = MMMDL 3600 = MMMDC
3650 = MMMDCL 3700 = MMMDCC 3750 = MMMDCCL 3800 = MMMDCCC 3850 = MMMDCCCL
3900 = MMMCM 3950 = MMMCML 3975 = MMMCMLXXV 3999 = MMMCMXCIX 4000: I̅V̅

We have provided a printable reference sheet with the above information in an easy-to-print format. Students are advised to practice roman numerals 1 to 4000 for easy math calculations.

How to Write Roman Numerals 1 to 4000?

Roman numerals 1 to 4000 can be obtained by using any of the two given below methods:

  • Method 1: In this method, we break 3466 into the least expandable form , write their respective roman letter and add/subtract them, i.e. 3466 = 1000 + 1000 + 1000 + (500 - 100) + 50 + 10 + 5 + 1 = M + M + M + (D - C) + L + X + V + I = MMMCDLXVI
  • Method 2: In this method, we consider the groups of numbers for addition such as: 3466 = 3000 + 400 + 60 + 6 = MMM + CD + LX + VI = MMMCDLXVI

Any of the above two methods can be used for writing Roman Numerals from 1 to 4000.

☛ Also Check: Roman Numerals Calculator

Rules to Write Roman Numerals from 1 to 4000

Certain rules are to be followed while writing roman numbers from 1 to 4000. These rules are explained here in detail.

  • When a bigger letter precedes a smaller letter, the letters are added. For example: LI, L > I, so LI = L + I = 50 + 1 = 51.
  • When a smaller letter precedes a bigger letter, the letters are subtracted. For example: XC, X < C, so XC = C - X = 100 - 10 = 90.
  • When a letter is repeated multiple times, they get added. For example: CC = C + C = 100 + 100 = 200
  • The same letter cannot be used more than three times in succession. V, L, and D cannot be repeated, they appear only once.

Roman Numerals 1 to 4000 Examples

  1. Example 1: Using Roman numerals 1 to 4000 chart, find the product of CCXLV and II.

    Solution:

    CCXLV = 200 + 40 + 5 = 245 and II = 2
    Now, CCXLV × II = 245 × 2 = 490
    Since, 490 = (500 - 100) + (100 - 10) = (D - C) + (C - X) = CDXC
    Therefore, the product of CCXLV and II is CDXC.

  2. Example 2: Find the Value of CDLXXIX + (MMMCXCIII - MMCDXXXI) + CMIV.

    Solution:

    Using Roman numerals 1 to 4000 chart:
    CDLXXIX = 400 + 70 + 9 = 479, MMMCXCIII = 3000 + 100 + 90 + 3 = 3193, MMCDXXXI = 2000 + 400 + 30 + 1 = 2431, CMIV = 900 + 4 = 904.
    Therefore, CDLXXIX + (MMMCXCIII - MMCDXXXI) + CMIV = 479 + (3193 - 2431) + 904 = 2145
    Now, 2145 = 1000 + 1000 + 100 + (50 - 10) + 5 = M + M + C + (L - X) + V = MMCXLV

  3. Example 3: Using your knowledge of Roman numerals 1 to 4000, Find the value of LXXIV - LI.

    Solution:

    LXXIV = 70 + 4 = 74 and LI = 50 + 1 = 51. Therefore, LXXIV - LI = 74 - 51 = 23.
    Now, XXIII = 20 + 3 = 23

  4. Example 4: Find all Perfect Cubes between Roman Numerals from 1 to 4000.

    Solution:

    List of all perfect cubes from 1 to 4000 are: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375. Therefore, perfect cubes between roman numerals 1 to 4000 are I, VIII, XXVII, LXIV, CXXV, CCXVI, CCCXLIII, DXII, DCCXXIX, M, MCCCXXXI, MDCCXXVIII, MMCXCVII, MMDCCXLIV, MMMCCCLXXV.

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FAQs on Roman Numerals 1 to 4000

What do Roman Numerals 1 to 4000 Mean?

Roman Numerals 1 to 4000 is a chart that represents numbers from 1 to 4000 in roman numerals. It consists of a notation of numbers 1 to 4000 used by the Romans in ancient times.

What is the Value of MMDXLV + (CDXLVI - CXXI) + DXXII?

Using Roman Numbers 1 to 4000 chart, MMDXLV = 2545, CDXLVI = 446, CXXI = 121, DXXII = 522.

Converting the given problem into numbers, we have MMDXLV + (CDXLVI - CXXI) + DXXII = 2545 + (446 - 121) + 522 = 3392 = MMMCCCXCII

How do you Write Roman Numerals from 1 to 4000?

To write 1 to 4000 in roman numerals, the conversion involves breaking the numbers based on place values (ones, tens, hundreds, thousands). For example, let us consider the number 2914.

  • Thousands = 2000 = MM
  • Hundreds = 900 = CM
  • Tens = 10 = X
  • Ones = 4 = IV
  • Number = 2914 = MMCMXIV

How Many Twin Prime Numbers are There Between Roman Numerals 1 to 4000?

Twin prime numbers are prime numbers whose difference is 2. Twin prime number pairs between 1 to 4000 are: (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463), (521, 523), (569, 571), (599, 601), (617, 619), (641, 643), (659, 661), (809, 811), (821, 823), (827, 829), (857, 859), (881, 883), (1019, 1021), (1031, 1033), (1049, 1051), (1061, 1063), (1091, 1093), (1151, 1153), (1229, 1231), (1277, 1279), (1289, 1291), (1301, 1303), (1319, 1321), (1427, 1429), (1451, 1453), (1481, 1483), (1487, 1489), (1607, 1609), (1619, 1621), (1667, 1669), (1697, 1699), (1721, 1723), (1787, 1789), (1871, 1873), (1877, 1879), (1931, 1933), (1949, 1951), (1997, 1999), (2027, 2029), (2081, 2083), (2087, 2089), (2111, 2113), (2129, 2131), (2141, 2143), (2237, 2239), (2267, 2269), (2309, 2311), (2339, 2341), (2381, 2383), (2549, 2551), (2591, 2593), (2657, 2659), (2687, 2689), (2711, 2713), (2729, 2731), (2789, 2791), (2801, 2803), (2969, 2971), (2999, 3001), (3119, 3121), (3167, 3169), (3251, 3253), (3257, 3259), (3299, 3301), (3329, 3331), (3359, 3361), (3371, 3373), (3389, 3391), (3461, 3463), (3467, 3469), (3527, 3529), (3539, 3541), (3557, 3559), (3581, 3583), (3671, 3673), (3767, 3769), (3821, 3823), (3851, 3853), (3917, 3919), (3929, 3931). Therefore, between roman numerals 1 and 4000, there are 103 twin prime numbers.

How Many Square Numbers are there Between Roman Numbers 1 to 4000?

Perfect Square between roman numbers 1 to 4000 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025, 2116, 2209, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 3025, 3136, 3249, 3364, 3481, 3600, 3721, 3844, 3969. This implies, there are 63 = LXIII perfect square numbers between roman numbers 1 to 4000.

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