Nhamba yekupatsanura zvivakwa zvine mienzaniso

Muchinyorwa chino, tichaona 8 zvinhu zvakakosha zvekupatsanurwa kwenhamba dzechisikigo, tichidziperekedza nemienzaniso yekunzwisisa zviri nani zvinyorwa zvedzidziso.

gutsikana

Number division properties

Chivakwa 1

Iko quotient yekupatsanura nhamba chaiyo yega inokwana imwe.

a: a = 1

mienzaniso:

  • 9:9 = 1
  • 26:26 = 1
  • 293:293 = 1

Chivakwa 2

Kana nhamba yakasikwa yakapatsanurwa neimwe, mhedzisiro ndiyo imwe chete.

a: 1 = a

mienzaniso:

  • 17:1 = 17
  • 62:1 = 62
  • 315:1 = 315

Chivakwa 3

Pakukamura manhamba echisikigo, mutemo wekuchinja haugone kushandiswa, unoshanda kune .

a: b ≠ b: a

mienzaniso:

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

Chivakwa 4

Kana uchida kupatsanura huwandu hwenhamba nenhamba yakapihwa, saka unofanirwa kuwedzera quotient yekugovanisa summary yega yega nenhamba yakapihwa.

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

Reverse property:

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

mienzaniso:

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

Chivakwa 5

Pakugovanisa mutsauko wenhamba nenhamba yakapihwa, unofanirwa kubvisa quotient kubva pakupatsanura subtrahend nenhamba yakapihwa kubva kuquotient kubva pakukamura minuend nenhamba iyi.

(a– b) : c = a: c-b: c

Reverse property:

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

mienzaniso:

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

Chivakwa 6

Kugovanisa chigadzirwa chenhamba nechakapihwa kwakafanana nekupatsanura chimwe chezvinhu nenhamba iyi, wowedzera mhedzisiro neimwe.

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

Kana nhamba iri kugovaniswa yakaenzana nechimwe chezvikonzero:

  • (a ⋅ b) : a = b
  • (a ⋅ b) : b = a

Reverse property:

c: (a ⋅ b) = c:a:b = c:b:a

mienzaniso:

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

Chivakwa 7

Kana iwe uchida quotient yekuparadzanisa nhamba a и b patsanura nenhamba c, zvinoreva kuti a inogona kukamuraniswa b и c.

(a: b) :c = a: (b ⋅ c)

Reverse property:

a :(b :c) = (a: b) ⋅ c = (a ⋅ c) : b

mienzaniso:

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

Chivakwa 8

Kana zero yapatsanurwa nenhamba yakasikwa, mhedzisiro yacho i zero.

0:a =0

mienzaniso:

  • 0:17 = 0
  • 0:56 = 56

Cherechedza: Iwe haugone kupatsanura nhamba ne zero.

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