Calculation 1


54 - 17 = 37


Chinese Culture Index








(1) Addition

(A)

 3 + 1 = 4

Procedures:

(1)

 C1: 3 brown beads - use thumb

(2)

 C1: add 1

=== 1 red bead Pt LP - use thumb



Result = 4



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(B)

 3 + 6 = 9

Procedures:

(1)

 C1: 3 brown beads - use thumb

(2)

 C1: add 6

=== 1 red bead Pt UP - use forefinger


=== 1 red bead Pt LP - use thumb




Result = 9



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(C)

 4 + 4 = 8

Procedures:

(1)

 C1: 4 brown beads - use thumb



(2)

 C1: add 4

=== 1 red bead Pt UP - use forefinger (= 5)


=== 1 red bead Af LP - use forefinger (subtract 1)



Result = 8



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(D)

 8 + 7 = 15

Procedures:

(1)

 C1: 8 brown beads



(2)

 C1: add 7

=== 2 red bead Pt LP - use thumb


=== 1 red bead Pt UP (= 5) - use forefinger, now C1 = 15



(3) 

=== C1: 5 bead Af LP - use forefinger

=== C1: 1 bead Af UP - use thumb


=== C2: 1 bead Pt  LP - use thumb



Result = 15



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(E)

 91 + 5 = 96

Procedures:

(1)

C2 = 9, C1 = 1

=== 91 brown beads



(2)  C1: add 5

=== 1 bead Pt UP - use forefinger

Result = 96










(F)

 5,628 + 1,151 = 6,779

Procedures:

(1)

 5,628 brown beads



(2)

 Add 1,151

=== C4 add 1


=== C3 add 1


=== C2 add 5


=== C1 add 1



Result = 6,779



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(G)

 6,122 + 1,758 = 7,880

Procedures:

(1)

 6,122 brown beads



(2)

 Add 1,758

C4 add 1 === 1 bead Pt LP


C3 add 7 === 1 bead Pt UP, 2 beads Pt LP


C2 add 5 === 1 bead Pt UP


C1 add 8 === 1 bead Pt UP, 3 beads Pt LP, now C1 = 10 units




(3)

=== C1: 5 beads Af LP, 1 bead Af UP

(4)

=== C2: 1 bead Pt  LP

Result = 7,880



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(H)   6,647 + 1,868 = 8,515

Procedures:

(1)

 6,647 brown beads



(2)

 Add 1868

C4: add 1

=== 1 bead Pt LP



C3: add 8

=== 1 bead Pt UP


=== 3 beads Pt LP



=== C3: 2 beads (= 10 units) Af UP

10 units = 1 LP bead add in next column C4




=== C4: 1 bead Pt LP



C2: add 6

=== 1 bead Pt UP, 1 bead Pt LP




=== C2: 1 bead Af UP, 5 beads Af LP 

10 units = 1 LP bead add in next column C3




=== C3: 1 bead Pt LP



=== C3: 5 beads Af LP, 1 bead Pt UP

5 units in LP = 1 unit in UP



C1: add 8

=== 1 beads in Pt UP, 3 beads Pt LP






=== C1: 1bead Af UP, 5 beads Af LP

 1 bead Pt LP in C2



Result = 8,515



All procedures together



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  (2) Subtraction

(A) 

 54 - 17 = 37

Procedures:

(1)

 C2: 5, C1: 4


54 brown beads 



(2)

 

 C2: 5 - 1 = 4

=== 1 bead Af UP



=== 4beads Pt LP



(3)

 C1: 4 - 7

=== 4 is not enough to subtract 7, hence borrow 1 unit (= 10) from C2



=== C1: = 14



=== C1: 14 - 7 = 7



Result = 37



All procedures together



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(B)

 94 - 28 = 66

Procedures:

(1)

 C2 = 9, C1 = 4

94 brown beads




(2)

 C2: 9 - 2 is 7



(3)

 C1: 4 - 8

=== 4 is not enough to subtract 8, 


hence borrow 1 unit (= 10) from C2

(4)

=== C2: 7 - 1 = 6

(5)

=== C1: 14 - 8 = 6



Result = 66



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(C)

 9,699 - 6,647 = 3,052

Procedures:

(1)

C4 = 9

C3 = 6


C2 = 9


C1 = 9

  9,699 brown beads



(2)

  C4: 9 Subtract 6 = 3

(3)

 C3: 6 Subtract 6 = 0

(4)

 C2: 9 Subtract 4 = 5

(5)

 C1: 9 Subtract 7 = 2

Result = 3,052



Have Fun!

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