Thursday, 7 July 2011

Adding and Subtracting One-Digit Numbers (8)

Example:    9 + 4 = 13 

Step 1: Set 9 on the unit rod (1st right column). 



Step 2: Move down 1 on unit rod with the index finger, then move up 5 on unit rod with the same finger and finally move up 1 on tens’ rod (2nd right column) with the thumb. Work the index finger and the thumb with the idea of performing the last two motions at the same time. 



Note: This example shows how to add 10 after subtracting one or more 1-unit beads and a 5-unit bead. Applicable problems:    

9+1 
9+3 
8+3 
8+4       
7+3 
6+4


Example :   13 — 4 = 9  

Step 1: Set 13. 



Step 2: After moving down the 1 on tens’ rod, move down 5 and move up 1 on unit rod at the same time.  



Note: This example shows how to add both a 5-unit bead and one or more 1-unit bead after subtracting 10. Applicable problems.     

11—2 
11—4      
12—4        
13—4


Example :   9 + 7 = 16 

Step 1: Set 9 on the unit rod. 



Step 2: Move down 3 on unit rod, and move up 1 on tens’ rod. Perform the two motions mechanically at the same time as if twisting the thumb and the index finger. 



 
Note 1: This example shows how to subtract one or more 1-unit beads from the unit rod and add Applicable problems:

2+9
4+9
6+9
8+9
9+9


Example :    16 - 7 = 9 

Step 1: Set 16. 



Step 2: Move down the 1 on tens’ rod, and move up 3 on unit rod.  



Note 1: When setting a two-digit number on the board, as in Step 1, always set the tens’ digit first. 

Note 2: This example shows how to subtract 10 and add one or more 1-unit beads. Applicable problems:    

15—6  
16—7  
17—8 
17—9         
18—9 

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