Square and square numbers

1. WELCOME TO POWERPOINT
PRESENTATION

2. SQUARE AND
QUARE ROOT

3. Natural Numbers:-
Numbers used for counting are called Natural
Numbers.
 Ex: 1,2,3,4,5…………..

4. Whole Numbers:-
Natural numbers together with zero are called Whole
Numbers.
 Ex: 0,1,2,3,4,5…………..

5. Integers:-
Natural numbers, negative of Natural numbers and 0
are called Integers.
 Ex: -3,-2,-1,0,1,2,3,4,5…………..

6. 1cm
1cm
1cm
1cm
2cm
2cm
2cm
2cm
4cm
4cm
4cm 4cm
10cm
10cm
10cm
10cm

7. Square Numbers(Perfect Square):-
A square number or perfect square is
an integer that is the square of an integer.
In other words, it is the product of some
integer with itself..
 Ex:- 1,4,9,16,25,36…………..

8.  Properties of Square Numbers:-
 1. If a number has 1 or 9 in the units place, then its square
ends in 1.
 2. If a number has 4 or 6 in the units place, then its square
ends in 6.
 If a number has 3 or 7 in the units place, then its square
ends in 9.
 If a number has 2 or 8 in the units place, then its square
ends in 4.
 If a number has 5 in the units place, then its square ends
in 5.
 A square number does not ends with odd number of zeros.

9. Interesting Pattern on
Square Numbers

10. 1
3
6 10

11.  Sum of two consecutive triangular
number is a square number.

12. 1=1=12
1+3=4=22
1+3+5=9=32
1+3+5+7=16=42

13. Sum of first n odd natural
numbers is n2

14. Thank You