Dab tsi yog arithmetic equality

Hauv kev tshaj tawm no, peb yuav xav txog qhov kev sib npaug ntawm lej ( lej) yog dab tsi, thiab tseem sau nws cov khoom tseem ceeb nrog cov piv txwv.

Cov ntsiab lus

Txhais ntawm Equality

Ib qho kev qhia lej uas muaj cov lej (thiab/lossis cov tsiaj ntawv) thiab kos npe sib npaug uas muab faib ua ob ntu yog hu ua arithmetic vaj huam sib luag.

Dab tsi yog arithmetic equality

Dab tsi yog arithmetic equality

Muaj 2 hom kev sib npaug:

  • Yog leejtwg Ob qhov chaw yog tib yam. Piv txwv li:
    • 5 + 12 = 13 + 4
    • 3 x + 9 = 3 ⋅ (x + 3)
  • Txoj kab zauv - Kev sib npaug yog qhov tseeb rau qee qhov txiaj ntsig ntawm cov ntawv uas muaj nyob hauv nws. Piv txwv li:
    • 10 x + 20 = 43 + 37
    • 15 x + 10 = 65 + 5

Cov khoom sib npaug

Khoom Muaj Khoom 1

Ib feem ntawm qhov sib npaug tuaj yeem hloov pauv, thaum nws tseem muaj tseeb.

Piv txwv li, yog tias:

12 x + 36 = 24 + 8x

Yog li ntawd:

Luas = 24 + 8 x 12 + 36

Khoom Muaj Khoom 2

Koj tuaj yeem ntxiv lossis rho tib tus lej (lossis qhia lej) rau ob sab ntawm kab zauv. Kev sib npaug yuav tsis raug ua txhaum.

Ntawd yog, yog tias:

a = b

Li no:

  • a + x = b + x
  • a-y = b-y

piv txwv:

  • 16-4 = 10 + 216 - 4 + 5 = 10 + 2 + 5
  • 13 x + 30 = 7x + 6x + 3013 x + 30 - y = 7x + 6x + 30 - y

Khoom Muaj Khoom 3

Yog tias ob tog ntawm qhov sib npaug sib npaug los yog muab faib los ntawm tib tus lej (lossis qhia lej), nws yuav tsis raug ua txhaum.

Ntawd yog, yog tias:

a = b

Li no:

  • a ⋅ x = b ⋅ x
  • a: y = b:y

piv txwv:

  • 29 + 11 = 32 + 8(29 + 11) ⋅ 3 = (32 + 8) ⋅ 3
  • 23 x + 46 = 20 - 2(23x + 46): y = (20 – 2): y

Sau ntawv cia Ncua