Difference between revisions of "Counting Numbers"
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Revision as of 10:15, 26 April 2012
Note to parents: Babies that can barely speak can learn how to count. As a parent, I encourage you to count with your child as often as possible. Count beans, count hands, count toes, etc...
Counting is a convention. That means that everyone does it the same way.
The counting series is simply:
- 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11...
To count really high, you need to know what to do beyond 10.
- ..., 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20...
Do you see how that works? We simply put a '1' in front of the numbers.
With 20, the pattern should now be obvious. Let's count 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, ...
And if you are really smart, you'll see how the pattern continues beyond 100.
- 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, ...
And you can continue all the way up to 1,000:
- 201, 202, ... , 299, 300,
- 301, 302, ... , 399, 400,
- 401, 402, ... , 499, 500,
- 501, 502, ... , 599, 600,
- 601, 602, ... , 699, 700,
- 701, 702, ... , 799, 800,
- 801, 802, ... , 899, 900,
- 901, 902, ... , 999, 1,000,
And then to a 1,000,000:
- 1,000, 1,001, ... , 1,999, 2,000
- 2,000, 2,001, ... , 2,999, 3,000
- 3,000, 3,001, ... , 3,999, 4,000
- 4,000, 4,001, ... , 4,999, 5,000
- 5,000, 5,001, ... , 5,999, 6,000
- 6,000, 6,001, ... , 6,999, 7,000
- 7,000, 7,001, ... , 7,999, 8,000
- 8,000, 8,001, ... , 8,999, 9,000
- 9,000, 9,001, ... , 9,999, 10,000
- 10,000, 10,001, ... , 19,999, 20,000
- 20,000, 20,001, ... , 29,999, 30,000
- 30,000, 30,001, ... , 39,999, 40,000
- 40,000, 40,001, ... , 49,999, 50,000
- 50,000, 50,001, ... , 59,999, 60,000
- 60,000, 60,001, ... , 69,999, 70,000
- 70,000, 70,001, ... , 79,999, 80,000
- 80,000, 80,001, ... , 89,999, 90,000
- 90,000, 90,001, ... , 99,999, 100,000
- 100,000, 100,001, ... , 199,999, 200,000
- 200,000, 200,001, ... , 299,999, 300,000
- 300,000, 300,001, ... , 399,999, 400,000
- 400,000, 400,001, ... , 499,999, 500,000
- 500,000, 500,001, ... , 599,999, 600,000
- 600,000, 600,001, ... , 699,999, 700,000
- 700,000, 700,001, ... , 799,999, 800,000
- 800,000, 800,001, ... , 899,999, 900,000
- 900,000, 900,001, ... , 999,999, 1,000,000
Hopefully, you see the pattern and can count now to infinity. There really is no end to these numbers.
More or Less?
When you want to know what is more, you can look at the number. Bigger numbers are more, and smaller numbers are less.
You have to be careful and compare numbers by their value, not digit! 100 is much more than 9.
Your First Algorithm
Counting beyond 10 is an exercise in applying algorithms. For counting, the algorithm is simply:
- something, something-1, something-2, ... something-9, something else.
The something else depends on what something was. The rules are rather simple and children can figure them out on their own.