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SITI NUR FATIMAH 
(A410112003) 
NUMBER
NUMBER 
Bilangan Cacah 
Negative integer Number Zero Positive Integer Number 
—·—·—·—·—·—·—·—·—·—·—·—·—·—·—·— -7 -6 -5 - 4 -3 -2 -1 0 1 2 3 4 5 6 7
Summation and Reduction Two Integer 
number line model approach (Model garis bilangan) : 
1 Forward-Backward 
2. Arrows 1 
3. Arrows 2
Summation and Reduction Two Integer? 
(Approach models the number line Forward and Backward) 
Integer 
Number 
positive Þ Advance 
nol Þ Fixed 
negatif Þ go back 
Operation 
+ Þ Next 
- Þ Reserve direction
Calculate 2 + 3 
2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
3 
So, 2 + 3 = 5
Calculate 2 + (–3) 
2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
– 3 
So, 2 + (–3) = –1
Calculate –2 + 3 
-2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
3 
So, – 2 + 3 = 1
Calculate –2 + (– 3) 
-2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
– 3 
So, – 2 + (– 3) = – 5
Calculate 2 – 3 
2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
3 
Soi, 2 – 3 = –1
Calculate 2 – (–3) 
2 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
3 
Jadi, 2 – (– 3 ) = 5
Summation and reduction Two Intefer? 
Approach Models the Number Line Arrows-1 
Integer 
number 
positive Þ Direction to the right 
ZeroÞ Fixed 
negative Þ Direction to the left 
Operation 
+ Þ Continued 
- Þ Converted to add to operation 
Operation Value 
Judging from the base point 1 to 
arrowhead-2 (see below number 
arrowhead)
Calculate 2 + 3 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
So, 2 + 3 = 5
Calculate -2 + 3 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
So, -2 + 3 = 1
Calculate 2 - 3 
Calculate 2 + 
(-3) 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
So, 2 - 3 = -1
Summation and Reduction two integers 
(Approach models the number linae arrows-2) 
The Approach Uses a Number line Agreement That: 
The operation is used addition operation.If you found a 
reduction in the technical operation should be converted 
first into a summation operation with the opponent.Means 
the summation operation is continued.
The first term is the first point is placed on the number line (as a 
starting point an arrow) then just continued with the second term 
in accordance with the type of number is. If the second term 
positive numbers, draw an arrow to the right as far as the amount 
of his number. If the second term negative numbers, draw an 
arrow to the left as far as the amount of his number.
Calculate 2 + 3 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
By Adi Wijaya 
So, 2 + 3 = 5
Calculate -2 + 3 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
By Adi Wijaya 
So, -2 + 3 = 1
Calculate 2 - 3 
Calculate 2 + 
(-3) 
-5 -4 -3 -2 -1 0 1 2 3 4 5 
So, 2 - 3 = -1
THANK YOU

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Media pembelajaran matematika (operasi bilangan Bulat)

  • 1. SITI NUR FATIMAH (A410112003) NUMBER
  • 2. NUMBER Bilangan Cacah Negative integer Number Zero Positive Integer Number —·—·—·—·—·—·—·—·—·—·—·—·—·—·—·— -7 -6 -5 - 4 -3 -2 -1 0 1 2 3 4 5 6 7
  • 3. Summation and Reduction Two Integer number line model approach (Model garis bilangan) : 1 Forward-Backward 2. Arrows 1 3. Arrows 2
  • 4. Summation and Reduction Two Integer? (Approach models the number line Forward and Backward) Integer Number positive Þ Advance nol Þ Fixed negatif Þ go back Operation + Þ Next - Þ Reserve direction
  • 5. Calculate 2 + 3 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 3 So, 2 + 3 = 5
  • 6. Calculate 2 + (–3) 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 – 3 So, 2 + (–3) = –1
  • 7. Calculate –2 + 3 -2 -5 -4 -3 -2 -1 0 1 2 3 4 5 3 So, – 2 + 3 = 1
  • 8. Calculate –2 + (– 3) -2 -5 -4 -3 -2 -1 0 1 2 3 4 5 – 3 So, – 2 + (– 3) = – 5
  • 9. Calculate 2 – 3 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 3 Soi, 2 – 3 = –1
  • 10. Calculate 2 – (–3) 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 3 Jadi, 2 – (– 3 ) = 5
  • 11. Summation and reduction Two Intefer? Approach Models the Number Line Arrows-1 Integer number positive Þ Direction to the right ZeroÞ Fixed negative Þ Direction to the left Operation + Þ Continued - Þ Converted to add to operation Operation Value Judging from the base point 1 to arrowhead-2 (see below number arrowhead)
  • 12. Calculate 2 + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 So, 2 + 3 = 5
  • 13. Calculate -2 + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 So, -2 + 3 = 1
  • 14. Calculate 2 - 3 Calculate 2 + (-3) -5 -4 -3 -2 -1 0 1 2 3 4 5 So, 2 - 3 = -1
  • 15. Summation and Reduction two integers (Approach models the number linae arrows-2) The Approach Uses a Number line Agreement That: The operation is used addition operation.If you found a reduction in the technical operation should be converted first into a summation operation with the opponent.Means the summation operation is continued.
  • 16. The first term is the first point is placed on the number line (as a starting point an arrow) then just continued with the second term in accordance with the type of number is. If the second term positive numbers, draw an arrow to the right as far as the amount of his number. If the second term negative numbers, draw an arrow to the left as far as the amount of his number.
  • 17. Calculate 2 + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 By Adi Wijaya So, 2 + 3 = 5
  • 18. Calculate -2 + 3 -5 -4 -3 -2 -1 0 1 2 3 4 5 By Adi Wijaya So, -2 + 3 = 1
  • 19. Calculate 2 - 3 Calculate 2 + (-3) -5 -4 -3 -2 -1 0 1 2 3 4 5 So, 2 - 3 = -1