ARCHANA BALACHANDRAN
Let's assume three blanks, one for each of the three digits. Now going blank by blank:
Blank 1: Can take the values : 1,2,3,4,6,7,8,9 [5 is not possible as the question says so, 0 is not possible because a 0 in the first blank would make it a two digit no.]. Thus, 8 possibilities for blank 1.
Blank 2: Can take values : 0,1,2,3,4,6,7,8,9 [again, 5 is not possible]. Thus, 9 possibilities for blank 2.
Blank 3: Can take values : 1,3,7,9 [This blank cannot take even nos like 2,4,6,8 and not a 0 as well. The digit 5 is also not a possibility]. Thus, 4 possibilities for blank 3.
Now, using multiplication principle for all three blanks : 8*9*3 = 288.
Jun 22, 2015 • Comment
List of Odd Numbers from 1 to1000
Table of Contents
What are Odd Numbers?
When a number is divided by 2, leaves a remainder of 1 is called an odd number. These odd numbers can not be paid into two’s.
Example of odd numbers is 1,3,5,7, etc. Let’s make it easy by visualizing it. Look at the below picture. Do you see the chocolates? Yes, the number of chocolates we have is odd. Let’s take a look at the chocolates to understand the concept of odd numbers more clearly.
If you notice the chocolate, when it numbers like 1, 3, 5, or 7, it doesn’t form a complete pair. One chocolate among all has remained unpaired. By this, we can understand that an odd number when divided by 2, leaves 1 chocolate behind.
Difference Between Odd and Even Numbers
Even though differentiating odd numbers and even numbers is easy and taught in their math classes, kids sometimes get confused somehow. To be more clear to the kids, even numbers when divided by two leave no reminder, which means a “0”, and odd numbers when divided by two leave a reminder of “1”.
As you can see in the above image, even numbers such as 2, 4, 6, and 8 can be completely paired up and leave 0 chocolates, whereas odd numbers like 1, 3, 5, and 7 can not be paired up and leave a reminder of 1 chocolate.
Facts About Odd Numbers to Remember
A few facts about odd numbers that make your math classes fun:
- 1 is the first positive odd number in the number line.
- An odd number is an integer that can not be divided by 2.
- When an odd number is divided by 2, the result will always be 1.
- Odd numbers have numbers like 1, 3, 5, 7, or 9 in their unit place whereas even numbers have 0, 2, 4, 6, or 8.
Let’s find out how many odd numbers are there from 1 to 50, 1 to 100, 1 to 200,……and 1 to 1000.
Numbers | No. of Odd Numbers |
From 1 to 50 | 25 |
From 1 to 100 | 50 |
| From 1 to 200 | 100 |
From 1 to 300 | 150 |
Odd Numbers from 1 to 100
Odd numbers 1 to 100 is shown in this chart. Also, you may practice writing the odd numbers 1 to 100 in your notebooks.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.
Odd Numbers from 1 to 100 [Infographics]
Odd Numbers from 101 to 200
Here are odd numbers 101 to 200. Refer to it while practicing.
101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199.
Odd Numbers from 101 to 200 [Infographics]
Odd Numbers from 201 to 300
Here are odd numbers 201 to 300. Refer to it while practicing.
201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299.
Odd Numbers from 201 to 300 [Infographics]
Odd Numbers from 301 to 400
Here are odd numbers 301 to 400. Refer to it while practicing.
301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 395, 397, 399.
Odd Numbers from 301 to 400 [Infographics]
Odd Numbers from 401 to 500
Here are odd numbers 401 to 500. Refer to it while practicing.
401, 403, 405, 407, 409, 411, 413, 415, 417, 419, 421, 423, 425, 427, 429, 431, 433, 435, 437, 439, 441, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499.
Odd Numbers from 401 to 500 [Infographics]
Odd Numbers from 501 to 600
Here are odd numbers 501 to 600. Refer to it while practicing.
501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599.
Odd Numbers from 501 to 600 [Infographics]
Odd Numbers from 601 to 700
Here are odd numbers 601 to 700. Refer to it while practicing.
601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699.
Odd Numbers from 601 to 700 [Infographics]
Odd Numbers from 701 to 800
Here are odd numbers 701 to 800. Refer to it while practicing.
701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799.
Odd Numbers from 701 to 800 [Infographics]
Odd Numbers from 801 to 900
Here are odd numbers 801 to 900. Refer to it while practicing.
801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899.
Odd Numbers from 801 to 900 [Infographics]
Odd Numbers from 901 to 1000
Here are odd numbers 901 to 1000. Refer to it while practicing.
901, 903, 905, 907, 909, 911, 913, 915, 917, 919, 921, 923, 925, 927, 929, 931, 933, 935, 937, 939, 941, 943, 945, 947, 949, 951, 953, 955, 957, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999.
Odd Numbers from 901 to 1000 [Infographics]
Properties of Odd Numbers
Well, as everything has its own kind of properties and rules, even odd numbers have a set of properties that apply to all the odd numbers that you may come across, like odd numbers 1 to 1000. Given below are the properties of odd numbers and their detailed explanation:
- Addition: The addition of two odd numbers will always result in an even number, i.e., the sum of two odd numbers is an even number.
For example: 5 [odd] + 1[odd] = 6 [even]
- Subtraction: The subtraction of two odd numbers gives the result as an even number.
For example: 9 [odd] – 3 [odd] = 6 [even]
- Multiplication: Multiplying two odd numbers gives an odd number as result.
For example: 3 [odd] x 9 [odd] = 27 [odd]
- Division: Dividing two odd numbers will always give an odd number.
For example: 51 [odd] ÷ 5 [odd] = 11 [odd]
Let’s try summarising the properties to make them easy to remember.
Arithmetic Operation | Results |
Odd + Odd | Even |
Odd – Odd | Even |
Odd x Odd | Odd |
Odd ÷ Odd | Odd |
Types of Odd Numbers
Odd numbers are a list of numbers that are not multiples of 2. It’s a large set of numbers. Here are two types of odd numbers:
1. Consecutive Odd Numbers
Let’s assume “n” is an odd number and its consecutive odd number will be “n + 2”. When we arrange odd numbers in ascending order, we can see that the odd numbers always have a difference of 2 and are consecutive.
For example, the numbers 3 and 5, 15 and 17, 49 and 51, and so on are called consecutive odd numbers because they have a difference of 2, such as 5-3 = 2 and 51-49 = 2
2. Composite Odd Numbers
A composite means that it is the result of several parts or factors. Composite odd numbers are formed by two smaller positive odd integers.
For example, the composite odd numbers from 1 to 100 are 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, and 99.
Odd Numbers Solved Examples
Sol: The odd numbers between 2 and 30 are:
3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29.
Sol: Let us assume that 2n + 1 and 2k + 1 are the two odd numbers.
The sum of two numbers is:
[2n + 1] + [2k + 1]
= [2n + 2k] + 2
= 2[n + k + 1]
Let N = n + k + 1,
2[n + k + 1] = 2N.
∴ The sum of two odd numbers is an even odd i.e., 2N.
Practice Odd Numbers Worksheet
FAQ's
Most Frequently Asked Questions About Odd Numbers
Yes, odd numbers are integers, and an integer can be positive or negative. We can say that odd numbers can be either positive or negative.
For example, if you see on the number line, odd numbers can be written as
-7, -5, -3, -1, 1, 3, 5,… so on.
The easiest way to find odd numbers is to see whether that particular number is divisible by 2 or not. If the number leaves a remainder of 1, it is an odd number. There is no difficult or easy way of finding odd numbers. For every number, you will have to divide it by 2 to know if it is an even or odd number.
Conclusion
The concept of numbers is vast. We have covered the concept of odd numbers and the concepts related to odd numbers. Finding an odd number is easy as long as you look for the remainder of that particular number. Many kids find it difficult to understand the concepts of number systems like prime numbers, even numbers, and natural numbers, though they are explained in math classes.
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- Unit Conversion Table in Math
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