Tus lej faib khoom nrog piv txwv

Hauv kev tshaj tawm no, peb yuav txiav txim siab 8 yam tseem ceeb ntawm kev faib cov lej ntuj, nrog rau lawv nrog cov piv txwv kom nkag siab zoo dua ntawm cov khoom siv theoretical.

Tus lej faib khoom

Khoom Muaj Khoom 1

Lub quotient ntawm faib ib tug natural tooj ntawm nws tus kheej yog sib npaug rau ib tug.

a: ib = 1

piv txwv:

• 9:9 = 1
• 26:26 = 1
• 293:293 = 1

Khoom Muaj Khoom 2

Yog hais tias ib tug natural tooj muab faib los ntawm ib tug, qhov tshwm sim yog tib tus lej.

a:1 = ib

piv txwv:

• 17:1 = 17
• 62:1 = 62
• 315:1 = 315

Khoom Muaj Khoom 3

Thaum faib cov lej ntuj, tsis tuaj yeem siv txoj cai lij choj, uas siv tau rau .

ib: b :a

piv txwv:

• 84 : 21 ≠ 21 : 84
• 440 : 4 ≠ 4 : 440

Khoom Muaj Khoom 4

Yog tias koj xav faib cov lej ntawm tus lej los ntawm tus lej muab, tom qab ntawd koj yuav tsum tau ntxiv qhov kev faib tawm ntawm kev faib txhua qhov summand los ntawm tus lej muab.

(a + b): c = a: c + b: c

Rov qab khoom:

c: (a + b) = c: a + c: ib

piv txwv:

• (45+18): 3 = 45:3 + 18:3
• (28+77+140): 7 = 28:7 + 77:7 + 140:7
• 120: (6 + 20) : kuv. = 120:6 + 120:20

Khoom Muaj Khoom 5

Thaum faib qhov sib txawv ntawm tus lej los ntawm ib tus lej muab, koj yuav tsum rho tawm qhov quotient los ntawm kev faib cov subtrahend los ntawm tus lej muab los ntawm kev faib tawm los ntawm kev faib cov minuend los ntawm tus lej no.

(a-b): c = ib :c:c

Rov qab khoom:

c: (a – b) = c:a-c: ib

piv txwv:

• (60-30): 2 = 60: 2-30: 2
• (150–50–15): 5 = 150:5–50:5–15:5
• 360: (90–15) hnub. = 360: 90-360: 15

Khoom Muaj Khoom 6

Kev faib cov khoom ntawm tus lej los ntawm ib qho muab yog tib yam li faib ib qho ntawm cov khoom los ntawm tus lej no, ces muab cov txiaj ntsig los ntawm lwm tus.

(a ⋅ b): c = (a : c) ⋅ b = (b : c) ⋅ a

Yog tias tus lej muab faib los ntawm qhov sib npaug ntawm ib qho ntawm cov yam tseem ceeb:

• (a ⋅ b): a = b
• (a ⋅ b): b = a

Rov qab khoom:

c: (a ⋅ b) = c:a: ib = c:b :ib

piv txwv:

• (90 ⋅ 36): 9 = (90:9) ⋅ 36 = (36:9) ⋅ 90
• 180: (90 ⋅ 2) = 180: 90: 2: ib = 180: 2: 90: ib

Khoom Muaj Khoom 7

Yog tias koj xav tau qhov quotient ntawm kev faib cov lej a и b faib los ntawm tus lej c, nws txhais tau tias a tuaj yeem muab faib ua b и c.

(a: b): c = a : (b ⋅ c)

Rov qab khoom:

ib : (b : c) = (a : b) ⋅ c = (a ⋅ c): b

piv txwv:

• (16:4) :2 = 16: (4 ⋅ 2)
• 96 : 80 : 10 : kuv. = (96:80) ⋅ 10

Khoom Muaj Khoom 8

Thaum xoom muab faib los ntawm tus lej ntuj, qhov tshwm sim yog xoom.

0:ua = 0

piv txwv:

• 0:17 = 0
• 0:56 = 56

Nco ntsoov: Koj tsis tuaj yeem faib tus lej los ntawm xoom.