jika X =0.222... dan Y = 0.333... maka ½XY ?

X = 0.222...
10X = 2.222...

maka,
10X = 2.222...
X = 0.222...
9X = 2
X = 2/9

Y = 0.333...
10Y = 3.333...

maka,
10Y = 3.333...
Y = 0.333...
9Y = 3
Y = 3/9 = 1/3

Hasil dari,
=½XY
=½ (2/9)(1/3)
=1/27

semoga bermanfaat#

Kelas 7 Matematika
Bab Pecahan

0,222... = x
0,222... dikali 10 = x dikali 10
2,222... = 10x

10x - x = 2,222.... - 0,222...
9x = 2
x = 2/9

0,333... = y
0,333.... dikali 10 = y dikali 10
3,333... = 10y

10y - y = 3,333.... - 0,333...
9y = 3
y = 3/9
y = 1/3

1/2 . x . y
= 1/2 . 2/9 . 1/3
= 1/27