Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
The sum of the first positive odd integers less than 101 is 10,000.
101 and 26
NON perfect squares are just regular # that aren't squares: 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42 ,43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56 , 57 ,58, 59, 60, ,61, 62, 63, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75 ,76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101,... (skipping 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, because they ARE perfect squares of numbers)
4 rectangles. (I'm assuming you mean 1414 congruent squares) Suppose we made a rectangle out of 1414 squares. Then its area is 1414x2, if x is the length of a square's side, and all its sides are multiples of x. Say the length and width are ax and bx, then we have two ways of finding the area, which must be equal: ax*bx=1414x2, or ab=1414. Now we just need to find the number of ways to get 1414 as a product of two whole numbers. 1414 factors as 2*7*101 (which are all prime), so there are 4 ways to split it up: 1414 = 1*1414 = 2*707 = 7 * 202 = 14 * 101. Each of these ways gives a different rectangle made up of 1414 squares.
The perfect squares less than 101 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
The perfect squares less than 101 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
101 is aprime number....
101
101
12= 1 22= 4 32= 9 42= 16 52= 25 62= 36 72= 49 82= 64 92= 81 102= 100
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
101 is greater by two orders of magnitude.
It is: 101-5 = 96
The sum of the first positive odd integers less than 101 is 10,000.