and Division 'of Large Numbers. 391 



Than multiply together the two digits in the same vertical 

 column : — 2 X 8 = 16. 



Write down 6 as the unit digit in the answer, and mentally 

 " carry 1 " to the next stage. 



For the second stage move the slip one digit to the left, 

 thus :— 2 4 968 



| 2 534 | . 



Add the products o£ the pair of digits in the same vertical 

 column and the " 1 carried over " : — 



" 1 carried over " + 5 x 8 + 2 X 6 .== 53. 



Write down 3 as the tens digit in the answer and " carry 

 5 " to the next stage. 



The rest of the calculation is shown in the following- 

 table : — 



Stage. 



Position of Slip. 



Mental Process. 



Carry 

 over. 



State of the 

 answer. 



3. 



24968 

 |2534| 



54-3x84-5x6+2x9 



=77 



7 



736 



4. 

 5. 



24968 

 | 2 5 3 4 j 



7+4x8+3x6+5x9 

 +2x4 = 110 



11 



■ 



.... 0736 



24968 



J 

 11+4x6+3x9+5x4' „ 



+2x2=86 



. . . 60736 



J2534J 



6. 



24968 

 | 2 5 3 4 | 



8+4x9+3x4+5x2 

 =66 



6 



1 

 2 



. . 660736 



7. 



24968 

 |2534| 



6+4x44-3x2 



=28 



. 8660736 



8. 



24968 

 | 2 5 3 4 | 



2+4x2 



= 10 





108660736 



Thus the answer is 10866073(5. 



A step by step comparison of this process with the 

 ordinary method of multiplication will soon suffice to con- 

 vince anyone of its correctness. 



