Muchinyorwa chino, tichaona kuti chii arithmetic (masvomhu) kuenzana, uye tonyora zvinhu zvayo zvikuru nemienzaniso.
gutsikana
Tsanangudzo yeEquality
Chirevo chesvomhu chine nhamba (uye/kana mavara) uye chiratidzo chakaenzana chinochipatsanura kuita zvikamu zviviri chinonzi arithmetic equality.
Kune marudzi maviri ekuenzana:
- kuzivikanzwa zvauri Zvose zvikamu zvakafanana. Semuyenzaniso:
- 5 + 12 = 13 + 4
- 3x + 9 = 3 ⋅ (x + 3)
- The equation - kuenzana ndeyechokwadi kune mamwe maitiro emabhii arimo. Semuyenzaniso:
- 10x + 20 = 43 + 37
- 15x + 10 = 65 + 5
Equality properties
Chivakwa 1
Zvikamu zvekuenzana zvinogona kuchinjwa, asi zvichiramba zviri zvechokwadi.
Somuenzaniso, kana:
12x + 36 = 24 + 8x
Naizvozvo:
24 + 8x = 12x + 36
Chivakwa 2
Unogona kuwedzera kana kubvisa nhamba imwechete (kana kutaura kwemasvomhu) kumativi ese equation. Kuenzana hakuzotyorwe.
Ndiko kuti, kana:
b = b
Saka:
- a + x = b + x
- a–y = b–y
mienzaniso:
16 – 4 = 10 + 2 ⇒16 – 4 + 5 = 10 + 2 + 5 13x + 30 = 7x + 6x + 30 ⇒13x + 30 – y = 7x + 6x + 30 – y
Chivakwa 3
Kana mativi ese equation akapetwa kana kupatsanurwa nenhamba imwe chete (kana kutaura kwemasvomhu), haizotyorwa.
Ndiko kuti, kana:
b = b
Saka:
- a ⋅ x = b ⋅ x
- a: y = b:y
mienzaniso:
29 + 11 = 32 + 8 ⇒(29 + 11) ⋅ 3 = (32 + 8) ⋅ 3 23x + 46 = 20 – 2 ⇒(23x + 46): y = (20 – 2): y