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Commutative, Associative And
Distributive Properties Of Numbers
Sifat-sifat operasi hitung bilangan
(komutatif,Asosiatif dan Distributif)
Created by
Mr. Made Nuryadi
OBJECTIVES
The students will be able to:
1. Understand the communicative,
distributive and associative properties of
numbers
2. Apply to use of numbers count operation.
3. Apply to use to solve problems
Commutative
Pertukaran
Is it the same?
+
=
+
2
3
3
2
5 = 5
Samakah hasil dari 4+5 dan 5+4
Apa kesimpulan mu tentang sifat komutatif
pada penjumlahan???
SIFAT KOMUTATIF PADA PERKALIAN
Apakah sifat komutatif berlaku pada
perkalian???
Apakah 26 x 4 sama dengan 4 x 26?
Ex: 26 x 4 = 4 x 26
104 = 104
Apakah sama 12 x 15 dan 15 x 12 ?
Apa kesimpulanmu?
Can we use commutative property in
subtraction?
Please check it by yourself!!!!
What is your conclusion???
Sorry ya…
Sifat komutatif tidak berlaku
pada pengurangan
Solve these problems
Find the missing numbers
1. 7+5 = ….+7
7. 8 x 2 =…..x…
2. 9+27 =27+….
8. 9 + 3=…..+….
3. 16+…=12+….
4. 12 x 5 = 5 x….
5. …x 7 =….x 10
6. 6 x….= 12 x 6
ASSOCIATIF
Assosiatif (pengelompokan)
Associative property to addition
is it the (3+4)+8 equal to 3 +(4+8)?
(3+4)+8 =15
3 +(4+8)=15
Associative property to multiplication
Apakah berlaku???
Let’s check!!!
Practice 1
Find the missing numbers
1. (4 +2)+8 =4 +(…+8)
2. 5+(….+12)=(….+7)+….
3. {(-5) +7}+(-3)=(-5)+{…+(….)}
4. 3x(4x6)=(…..x…..)x……
5. (20x….)x….= ….x (7x8)
6. 25 x (4x16) =……..
Why do you study communicative
and associative?
Commutative and associative make easier
to solve problems
Ex: Find the value of 25x52x4=….
Let’s check!
25x52x4= 25 x 4 x 52
sifat komutatif
= (25 x 4)x 52 sifat assosiatif
= 100 x 52 =5200

Practice 2
a.
b.
c.
d.
e.
Use commutative and associative
properties to solve these problems!
2 x 35 x 500=……
25 x 279 x 4 =……
125 x 136 x 8 =……
20 x 265 x 50=…….
4 x 18 x 25 =……
Distributive
Penyebaran
If there are three numbers a, b, c with
the form (a x b) + (a x c), we can make
simple.
(a x b)+(a x c)= a x (b +c)
Ex:
(4x12)+(4x8) = 4 x (12 + 8)
= 4 x 20 = 80
Practice 3
Change in to different form!
a.
(8 x 6) +(8 x 4)=…..x (….+….)
b.
(13 x 13) – (13 x 2)=….x (.…-….)
c.
(24 x 64) + (24 x 36) =…..x (…..+…..)
d.
(56 x155)- (55 x 56)=….x (.…-….)
e.
….x (34+66) = (25x….) + (25 x….)
f.
7 x (26+74)= (….x….)+(….x….)
Let’s practice!!!
a.
b.
c.
Find the value of these problems by
using commutative, associative or
distributive properties!
(71 x 28) + (72 x 71)=…….
(113 x 12) – (12 x 13) =…..
(256 x 175) + ( 25 x 256)=…….
Quiz



Tunjukkan sifat asosiatif pada operasi
penjumlahan menggunakan bilangan 4, 5,
dan 8.
Selesaikanlah dengan menggunakan
gabungan sifat komutatif dan asosiatif:
4 x 125 x 25
Selesaikan dengan menggunakan sifat
distributif:
a. (116 x 13) + (84 x 13)
b. (17 x 225) – ( 17 x 125)
Thanks
“If you can dream
it, you can do it”
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