May 17, 2018

How to find Unit Place Digit Phase 2













We have already found the units place digit for some numbers like 0, 1, 5, 6 and 2. So far we have seen that there are some numbers for which we don’t need any explanation to find out their units place digit.
Here we come to find the units place digit of 3, 4, 8, and 7.

Let’s take a look:

If Units place digit is 4 or 8, then we should first divide the power by 4 and then represent in the form of 44 or 84. In that case the value of 44 and 84 will be 6. [Because 4*4*4*4 = 256 or 8*8*8*8 = 4096]
       (124)372    = (4) (372/4)  
                         = (44)93
                         = 44 = 256                                   
       (128)325     = (8) (324/4)
                          = (84)81
                          = 84 = 4096
So the unit place digit is 6.

Again, if the unit place digit is 3 or 7, then we should first divide the power by 4 and then represent in the form of 34 and 74. In that case the value of 34 and 74 will be 1.                                                                  
        (2467)153   = (7) (153/4)                    
                          = (74)38 * 71                                 
                           = 74 * 7                                        
                          = 1 * 7 = 7                                  
                      [74 = 7*7*7*7 = 2401]                               
       (293)141     = (3) (141/4)
                          = (34)35 * 31
                          = 34 * 3
                          = 1 * 3 = 3
                      [34 = 3*3*3*3 = 81]
 So the unit place digits are 7 and 3 respectively.