# Natural Numbers 1 to 1000

We can see numbers everywhere around us. Natural numbers are a small part of the number system. It includes all the positive integers. We use natural numbers 1 to 1000 in our daily lives to count objects, and they are also called counting numbers.

## What are Natural Numbers?

We can see numbers everywhere around us. Natural numbers are a small part of the number system. It includes all the positive integers. We use natural numbers 1 to 1000 in our daily lives to count objects, and they are also called counting numbers.

## Definition of Natural Numbers

Natural numbers are the set of numbers that are used for counting. This set of set numbers does not include negative integers or zero in it. Natural numbers 1 to 1000 help count and do calculations on daily basis.

## Set of Natural Numbers

The set of natural numbers is a collection of elements. In mathematics, a set is written as {1,2,3}. The set of natural numbers is denoted by the letter “N”.

N = {1,2,3,4,5,…}

1. Statement Form: N = Set of numbers between 1 and 10.

2. Roaster Form: N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

3. Set Builder Form: N = {x:x is an integer between 1 and 10}

## Which is the Smallest Natural Number

The smallest natural number? It is 1. The interesting fact about 1 being the smallest natural number is also that every natural number and the next natural number after it has a difference of 1. For example, 3 is one more than 2, 4 is one more than 3, 55 is one more than 54, and so on.

## List of Natural Numbers 1 to 100

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100.

## List of Natural Numbers 101 to 200

101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200.

## List of Natural Numbers 201 to 300

201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300.

## List of Natural Numbers 301 to 400

301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400.

## List of Natural Numbers 401 to 500

401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498,  499, 500.

## List of Natural Numbers 501 to 600

501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600.

## List of Natural Numbers 601 to 700

601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700.

## List of Natural Numbers 701 to 800

701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800.

## List of Natural Numbers 801 to 900

801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900.

## List of Natural Numbers 901 to 1000

901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958,, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998 999 1000.

## Is 0 a Natural Number?

No, 0 is not a natural number. But when 0 is combined with other positive integers such as 10, 30, 50, etc., it becomes a natural number. As we all know, 0 is a null value and it is not used to count any object. It is not a natural number. Natural numbers start from 1 to infinity.

## Properties of Natural Numbers 1 to 1000

The addition, subtraction, multiplication, and division of natural numbers lead us to four important properties of natural numbers. They are as follows:

• Closure Property
• Associative Property
• Commutative Property
• Distributive Property

### 1. Closure Property

The closure property applies to the addition and multiplication of natural numbers. The sum and the product of two natural numbers always result in a natural number. The set of natural numbers is closed under addition and multiplication.

For example:

• Closure property of addition: a+b=c ⇒ 2+3=5, 10+15=25.
• Closure property of multiplication: axb = c ⇒ 2×5=10, 4×9=36.

### 2. Associative Property

As with the closure property, the associative property only applies to the addition and multiplication of natural numbers. The sum or product of any three natural numbers will still be a natural number, even when the order of numbers changes.

For example:

• Associative Property of addition: a+(b+c)=(a +b)+c ⇒ 3+(5+2)=10 and we get the same result in (3+5)+2=10.
•  Associative property of multiplication: ax(bxc)=(axb)xc ⇒ 3x(1×6)=3×6=18 and we get the same result in (3×1)x6=3×6=18.

### 3. Commutative Property

The set of natural numbers is commutative under addition and multiplication. The sum or product of two natural numbers will be the same even after changing the order of the numbers.

For example:

• Commutative property of addition: a+b=b+a ⇒  5+9=14 and 9+5=14.
• Commutative property of multiplication: axb=bxa ⇒ 10×3=30 and 3×10=30.

### 4. Distributive Property

• The distributive property of multiplication over addition is like ax(b+c)=axb+axc.
• The distributive property of multiplication over subtraction is like ax(b-c)=axb-axc.

## Few Facts About Natural Numbers

• 0 is a null value and it is not used to count any object. It is not a natural number.
• The set of natural numbers is closed, associative, and commutative under addition and multiplication.
• Decimals, fractions, or negative numbers do not come under natural numbers.

#### FAQ'S

1 is the smallest natural number. The set of natural numbers always starts with one.

Yes, that’s true. Every natural number is a whole number but not all whole numbers are natural numbers. Whole numbers include zero, negative integers, fractions, and decimals whereas natural numbers only include positive integers, excluding zero.

The largest natural number would be infinity. The next natural number can be formed by adding one to the existing natural number, which means natural numbers are infinity.

## Conclusion

Natural numbers are a subset of real numbers, which only include positive integers and exclude zero, fractions, decimals, and negative numbers. Natural numbers 1 to 1000 help count and do calculations on a daily basis.

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