sifat operasi hitung

MATEMATIKA

sifat operasi hitung

SIFAT OPERASI HITUNG

sifat penyebaran

(distributif)

Contoh:

Penjumlahan ~ (a+b)+c=a+(b+c) ~

(11 + 5) + 3 = 11 + (5 + 3) = 19

Perkalian ~ (axb)xc=ax(bxc) ~
(12 x 2) x 4 = 12 x (2 x 2) = 96

sifat pertukaran

(komutatif)

Contoh:

Penjumlahan ~ a + b = b + a ~

2 + 8 = 8 + 2 = 10

Perkalian ~ a x b = b x a ~

9 x 5 = 5 x 9 = 10

Contoh:

Perkalian terhadap Penjumlahan

~ a x (b + c)=(a x b) + (a x c) ~

2 x (10 + 3) = (2 x 10) + (2 x 3) = 26

Perkalian terhadap Pengurangan

~ a x (b - c)=(a x b) - (a x c) ~

4 x (10 - 2) = (4 x 10) - (4 x 2) = 32

sifat pengelompokkan

(asosiatif)

SIFAT PERTUKARAN (KOMUTATIF)

Contoh:

Penjumlahan
a + b = b + a

2 + 8 = 8 + 2 = 10

Perkalian

a x b = b x a

9 x 5 = 5 x 9 = 45

Rumus

SIFAT PENGELOMPOKKAN (ASOSIATIF)

Contoh:

Penjumlahan

(a + b) + c = a + (b + c)

(11 + 5) + 3 = 11 + (5 + 3) = 19

Perkalian

(a x b) x c = a x (b x c)

(12 x 2) x 4 = 12 x (2 x 4) = 96

Rumus

SIFAT PENYEBARAN (DISTRIBUTIF)

Contoh:

Perkalian terhadap Penjumlahan

a x (b + c)=(a x b) + (a x c)

2 x (10 + 3) = (2 x 10) + (2 x 3) = 26

Perkalian terhadap Pengurangan

a x (b - c)=(a x b) - (a x c)

4 x (10 - 2) = (4 x 10) - (4 x 2) = 32

Rumus

85 + 15 = 15 + … = …

100 + 150 = … + 100 = …
… + 120 = 120 + 225 = …
328 + … = 251 + 328 = …
… + 287 = 287 + 311 = …

Soal latihan:

1.
2.
3.
4.
5.

7 x 9 = 9 x … = …

15 x 14 = … x 15 = …
18 x … = 12 x 18 = …
… x 25 = 25 x 20 = …
26 x … = 24 x 26 = …

Soal latihan:

1.
2.
3.
4.
5.

(7 + 8) + 9 = …

14 + (12 + 17) = …
(24 + 23) + 27 = …
(37 + 29) + 30 = …
42 + (37 + 46) = …

Soal latihan:

1.
2.
3.
4.
5.

(3 x 4) x 6 = …
2 x (7 x 9) = …

(9 x 11) x 13 = …
12 x (14 x 20) = …
(21 x 24) x 19 = …

Soal latihan:

1.
2.
3.
4.
5.

4 x (5 + 7) = …
3 x (8 + 10) = …
2 x (12 + 14) = …
3 x (16 + 19) = …
5 x (15 + 14) = …

Soal latihan:

1.
2.
3.
4.
5.

3 x (8 – 3) = …
4 x (12 – 8) = …
2 x (19 – 7) = …
6 x (24 – 15) = …
10 x (32 – 19) = …

Soal latihan:

1.
2.
3.
4.
5.