Daabacaaddan, waxaynu ku eegi doonaa waxa ay tahay sinnaanta xisaabta (xisaabta), waxaana sidoo kale ku taxnaa hantideeda ugu muhiimsan tusaalooyin.
Qeexida Sinnaanta
Erayada xisaabeed ee ka kooban tirooyin (iyo/ama xarfo) iyo calaamad siman oo u qaybisa laba qaybood ayaa la yiraahdaa sinnaanta xisaabta.
Waxaa jira 2 nooc oo sinnaanta:
- Aqoonsiga Labada qayboodba waa isku mid. Tusaale ahaan:
- 5 + 12 = 13 + 4
- 3x + 9 = 3 ⋅ (x + 3)
- Isla'egta - Sinnaanta waa run qiyamka qaarkood ee xarfaha ku jira. Tusaale ahaan:
- 10x + 20 = 43 + 37
- 15x + 10 = 65 + 5
Guryaha sinnaanta
Hanti 1
Qaybaha sinnaanta waa la isweydaarsan karaa, inta ay run tahay.
Tusaale ahaan, haddii:
12x + 36 = 24 + 8x
Sidaa awgeed:
24 + 8x = 12x + 36
Hanti 2
Waxaad ku dari kartaa ama ka jari kartaa isla lambar (ama tibaax xisaab) labada dhinac ee isla'egta. Sinnaanta laguma xadgudbi doono.
Taasi waa, haddii:
a = b
Sidaa awgeed:
- ah + x = b + x
- a–y = b–y
tusaalooyin:
16 – 4 = 10 + 2 ⇒16 – 4 + 5 = 10 + 2 + 5 13x + 30 = 7x + 6x + 30 ⇒13x + 30 – y = 7x + 6x + 30 – y
Hanti 3
Haddii labada dhinac ee isla'egta la badiyo ama la qaybsado tiro isku mid ah (ama tibaaxaha xisaabta), lama jabin doono.
Taasi waa, haddii:
a = b
Sidaa awgeed:
- a ⋅ x = b ⋅ x
- a: y = b: y
tusaalooyin:
29 + 11 = 32 + 8 ⇒(29 + 11) ⋅ 3 = (32 + 8) ⋅ 3 23x + 46 = 20 – 2 ⇒(23x + 46): y = (20 – 2): y