The square numbers up to 5000 are the squares of the integers from 1 to 70. These include: 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, 4096, 4225, 4356, 4489, 4624, 4761, 4900.
1,4,9,16,25,36,49
The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
square numbers 1 to 1000
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The square numbers up to 225 are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225. These numbers are the squares of the integers from 0 to 15.
No odd numbers are multiples of 4.
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 All the square numbers up to 20!
1,4,9,16,25,36,49,64,81,100
1,4,9,16,25,36,49,64,81,100,121,144
1,4,9,16,25,36,49
The cube root of 5000 is approx 17.1 So the numbers 1 to 17 have cubes which are smaller than 5000 that is, there are 17 such numbers.
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
1, 4 and 9.
square numbers 1 to 1000
There is just one set of square numbers; it is the set of all numbers which are squares of whole numbers:- i.e 1, 4, 9, 16, 25, 36, 49, ... and so on up to infinity in other words, it's the set of all numbers whose square root is a whole number.
Half of 1000 is 500, so numbers in the range 5000 ± 500 round to 5000 to the nearest 1000 EXCEPT that numbers exactly half way round up. ie numbers greater than or equal to 5000 - 500 = 4500 and less than 5000 + 500 = 5500 will round to 5000 to the nearest 1000. So the largest whole number that rounds to 5000 to the nearest 1000 is 5500 - 1 = 5499.
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