Mgbanwe njirimara nke okwu

N'ime akwụkwọ a, anyị ga-atụle isi ụdị mgbanwe ngbanwe nke okwu algebra, na-eso ha na usoro na ihe atụ iji gosipụta ngwa ha na omume. Ebumnuche nke mgbanwe ndị dị otú ahụ bụ iji dochie okwu mbụ ahụ n'otu aka ahụ.

Nhazi usoro na ihe

Na nchikota ọ bụla, ị nwere ike ịhazigharị usoro ahụ.

a + b = b + a

Na ngwaahịa ọ bụla, ị nwere ike ịhazigharị ihe ndị ahụ.

a ⋅ b = b⋅ a

atụ:

• 1 + 2 = 2 + 1
• 128 ⋅ 32 = 32 ⋅ 128

Usoro nchịkọta (multipliers)

Ọ bụrụ na enwere ihe karịrị mkpụrụokwu abụọ na nchikota, enwere ike ịchịkọta ha site na mbikọ. Ọ bụrụ na achọrọ, ị nwere ike ibu ụzọ gbanwee ha.

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

Na ngwaahịa, ị nwekwara ike ikpokọta ihe.

a ⋅ b⋅ c ⋅ d = (a ⋅ d) ⋅ (b⋅ c)

atụ:

• 15 + 6 + 5 + 4 = (15 + 5) + (6 + 4)
• 6 ⋅ 8 ⋅ 11 ⋅ 4 = (6⋅ 4⋅ 8) ⋅ 11

Mgbakwunye, mwepu, mmụba ma ọ bụ nkewa site na otu nọmba

Ọ bụrụ na agbakwunyere ma ọ bụ wepụ otu nọmba ahụ n'akụkụ abụọ nke njirimara ahụ, ọ ga-abụ eziokwu.

If a + b = c + dmgbe ahụ (a + b) ± e = (c + d) ± e.

Ọzọkwa, a gaghị emebi nha anya ma ọ bụrụ na ejiri otu ọnụ ọgụgụ amụba ma ọ bụ kewaa akụkụ ya abụọ.

If a + b = c + dmgbe ahụ (a + b) ⋅/: e = (c + d) ⋅/: e.

atụ:

• 35 + 10 = 9 + 16 + 20 ⇒ (35 + 10) + 4 = (9 + 16 + 20) + 4
• 42 + 14 = 7 ⋅ 8 ⇒ (42 + 14) ⋅ 12 = (7 ⋅ 8) ⋅ 12

Jiri nchikota dochie ihe dị iche (mgbe ọ bụ ngwaahịa)

Enwere ike ịnọchite anya ọdịiche ọ bụla dịka nchikota okwu.

a - b = a + (-b)

Enwere ike itinye otu aghụghọ ahụ na nkewa, ntụgharị dochie anya ugboro ugboro na ngwaahịa.

a: b = a ⋅ b^-1

atụ:

• 76-15-29 = 76 + (-15) + (-29)
• 42: 3 = 42 ⋅ 3^-1

Na-arụ ọrụ mgbakọ na mwepụ

Ị nwere ike ime ka okwu mgbakọ na mwepụ dị mfe (mgbe ụfọdụ) site n'ịrụ ọrụ mgbakọ na mwepụ (mgbakwunye, mwepu, ịba ụba na nkewa), na-eburu n'uche nke a na-anabatakarị. usoro igbu:

• mbụ anyị na-ebuli elu na ike, wepụ mgbọrọgwụ, gbakọọ logarithms, trigonometric na ọrụ ndị ọzọ;
• mgbe ahụ, anyị na-eme omume na brackets;
• ikpeazụ - site n'aka ekpe gaa n'aka nri, mee ihe ndị fọdụrụnụ. Mmụba na nkewa na-ebute ụzọ karịa mgbakwunye na mwepu. Nke a na-emetụtakwa okwu dị na mbike.

atụ:

• 14 + 6 ⋅ (35 - 16 ⋅ 2) + 11 ⋅ 3 = 14 + 18 + 33 = 65
• 20: 4 + 2 ⋅ (25 ⋅ 3 - 15) - 9 + 2 ⋅ 8 = 5 + 120 – 9 + 16 = 132

Mgbasa nke mgbodo

Enwere ike iwepụ nne na nna na okwu mgbakọ na mwepụ. A na-eme ihe omume a dịka ụfọdụ - dabere na akara ("gbakwunyere", "mwepu", "ịba ụba" ma ọ bụ "nkewa") dị n'ihu ma ọ bụ mgbe brackets.

atụ:

• 117 + (90 - 74 - 38) = 117 + 90 – 74 – 38
• 1040 – (-218 – 409 + 192) = 1040 + 218 + 409 - 192
• 22⋅ (8+14) = 22 ⋅ 8 + 22 ⋅ 14
• 18: (4-6) = 18: 4- 18: 6

Ịkwado ihe a na-ahụkarị

Ọ bụrụ na okwu niile dị na okwu ahụ nwere ihe jikọrọ ya, enwere ike wepụ ya na brackets, nke okwu ndị a kewara site na nke a ga-anọgide. Usoro a na-emetụtakwa mgbanwe nkịtị.

atụ:

• 3 ⋅ 5 + 5 ⋅ 6 = 5⋅ (3+6)
• 28 + 56 - 77 = 7 ⋅ (4 + 8 - 11)
• 31x + 50x = x ⋅ (31 + 50)

Ngwa nke ndebiri mmụgharị usoro

Ị nwekwara ike iji mee mgbanwe ngbanwe nke okwu algebra.

atụ:

• (31 + 4)² = 31² + 2 ⋅ 31 ⋅ 4 + 4² = 1225
• 26² - 7² = (26 - 7) ⋅ (26 + 7) = 627