Ninu atẹjade yii, a yoo gbero kini isọgba iṣiro (mathematiki) jẹ, ati tun ṣe atokọ awọn ohun-ini akọkọ rẹ pẹlu awọn apẹẹrẹ.
akoonu
Definition ti Equality
Ọrọ mathematiki ti o ni awọn nọmba ninu (ati/tabi awọn lẹta) ati ami dọgba ti o pin si awọn ẹya meji ni a pe isiro Equality.
Awọn oriṣi meji ti awọn dọgbadọgba wa:
- Identity Awọn ẹya mejeeji jẹ aami kanna. Fun apere:
- 5 + 12 = 13 + 4
- 3x + 9 = 3 ⋅ (x + 3)
- Idogba naa - Idogba jẹ otitọ fun awọn iye kan ti awọn lẹta ti o wa ninu rẹ. Fun apere:
- 10x + 20 = 43 + 37
- 15x + 10 = 65 + 5
Equality-ini
Ohun-ini 1
Awọn apakan ti imudogba le ṣe paarọ, lakoko ti o wa ni otitọ.
Fun apẹẹrẹ, ti:
12x + 36 = 24 + 8x
Nitoribẹẹ:
24 + 8x = 12x + 36
Ohun-ini 2
O le ṣafikun tabi yọkuro nọmba kanna (tabi ikosile mathematiki) si ẹgbẹ mejeeji ti idogba. Idogba ko ni ru.
Iyẹn ni, ti:
a = b
Nitorinaa:
- a + x = b + x
- a–y = b–y
awọn apẹẹrẹ:
16 – 4 = 10 + 2 ⇒16 – 4 + 5 = 10 + 2 + 5 13x + 30 = 7x + 6x + 30 ⇒13x + 30 – y = 7x + 6x + 30 – y
Ohun-ini 3
Ti ẹgbẹ mejeeji ti idogba ba pọ si tabi pin nipasẹ nọmba kanna (tabi ikosile mathematiki), kii yoo ru.
Iyẹn ni, ti:
a = b
Nitorinaa:
- a ⋅ x = b⋅ x
- a: y = b : y
awọn apẹẹrẹ:
29 + 11 = 32 + 8 ⇒(29 + 11) ⋅ 3 = (32 + 8) ⋅ 3 23x + 46 = 20 – 2 ⇒(23x + 46): y = (20 – 2): y