1 - 1
2 - 4
3 - 9
4 - 16
5 - 25
6 - 36
7 - 49
8 - 64
9 - 81
10 - 100
11 - 121
12 - 144
13 - 169
14 - 196
15 - 255
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No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
To write the number fifteen and one half in numbers you could write it as: 15 1/2 or as 15.5
To determine the number of squares on a 15x15 grid, we need to consider squares of different sizes. There will be 15x15 = 225 individual squares of size 1x1. Additionally, there will be (15-1)x(15-1) = 14x14 = 196 squares of size 2x2. Continuing this pattern, there will be 225 + 196 + 169 + ... + 1 squares of different sizes, which can be calculated using the formula for the sum of squares. The total number of squares on a 15x15 grid would be 1^2 + 2^2 + 3^2 + ... + 15^2 = 1240 squares.
1001
You can check which number from 1 to a 100 are squares of other numbers for yourself. Here's how: Start with 1 and count up, squaring the number and recording the result. Example: 12 = 1 22 = 4 32 = 9 . . . 102 = 100 The number 1, 3, 9 . . . 10 are squares Now, fill in the rest