Application of Squaring integers ending in five

DEALING WITH SQUARES OF FIVE


Table of Multiples of Five Squares (M5.Sq)


05^2 = 0’25

15^2 = 2’25

25^2 = 6’25

35^2 = 12’25

45^2 = 20’25

55^2 = 30’25

65^2 = 42’25

75^2 = 56’25

85^2 = 72’25

95^2 = 90’25


If you look at the table above, you may notice that there are some “common things” about these following groups;


Group 1

15^2 = 2’25
35^2 = 12’25
65^2 = 42’25
85^2 = 72’25


Group 2

05^2 = 0’25 (sometimes, not included)
45^2 = 20’25
55^2 = 30’25
95^2 = 90’25


Group 3

25^2 = 6’25
75^2 = 56’25


Take Note:


1) The squares of 15, 35, 65 and 85, all end up with …225


2) The squares of 5, 45, 55 and 95, all end up with …025


3) The square of 25 and 75, end up with …6’25


Always remember that all squares of numbers having a last digit of 5, will all, end up with …25.

But the underlined numbers (2, 0 and 6), will give us a ‘hint’ of what the missing digits might be.

Check this out:

https://newsqroot.blocked/2010/08/n ... false.html