Cross-multiply

/ˈkrɔs ˈmʌltəˌplaɪ/ verb

Definition

A method for solving proportions by multiplying the numerator of each fraction by the denominator of the other fraction. If a/b = c/d, then cross-multiplying gives ad = bc.

Etymology

The term 'cross' refers to the X-pattern formed when drawing lines between the numerators and denominators being multiplied. This technique was formalized in European mathematics during the Renaissance as algebraic methods developed, though the underlying principle was known to ancient mathematicians.

Kelly Says

Cross-multiplication works because of a beautiful symmetry in proportional relationships - it's actually just clearing denominators by multiplying both sides by the same quantity! This technique reveals that proportions are fundamentally about equivalent ratios, connecting arithmetic to the deeper algebraic concept of maintaining equality through operations.

Translations

AMአማርኛ
መስክ ስብስብ
mə.sk ˈsɪb.sɪb
ARالعربية
ضرب متقاطع
dˤrub mu.tɑ.qɐ.ʕ
BNবাংলা
ক্রস গুণ
krɔːs gu.n
CACatalà
multiplicar en creu
mʊl.tɪ.pli.ˈkɑːr ən kɾew
CSČeština
křížové násobení
krɪːʒo.vɛː nɑ.so.bɛ.nɪ
DADansk
korsmultiplikation
kɔrs.mʊl.tɪ.pli.ka.ˈt͡ʃɔːn
DEDeutsch
Kreuz multiplizieren
kʁɔɪ̯s ˌmʊl.tɪ.pli.t͡sə.ʁən
ELΕλληνικά
διανυσματική πολλαπλασιασμός
dɪ.a.nʊs.mɐ.tɪ.kɪ. ˈpol.la.p.la.sɪ.a.smo.s
ESEspañol
multiplicar en cruz
mʊl.tɪ.p.li.kar ˈen kɾuθ
FAفارسی
ضرب ضرب متقاطع
dˤrub dˤrub mu.tɑ.qɐ.ʕ
FISuomi
ristitulomustelu
ˈristi.tʊ.lɔ.mʊ.ste.lu
FRFrançais
multiplier en croix
mʊl.tɪ.pli.e ɑ̃ kʁwa
GUGU
ક્રોસ ગુણાકાર
krɔːs guṇ.a.kā.r
HAHA
tsara a tsara
tʃa.ra a tʃa.ra
HEעברית
כפל חוצה
kʰə.fəl ḥo.t͡sa
HIहिन्दी
क्रॉस गुणा
krɔːs guṇ.a
HUMagyar
kereszt szorzat
kɛrɛz.t ˈsɔr.zat
IDBahasa Indonesia
melipat silang
mɛ.li.pat si.lang
IGIG
gbalaa ụdị
ɡbɑ.la.a ụ.dị
ITItaliano
moltiplicare a croce
mol.tɪ.pli.ka.re a kɾo.tse
JA日本語
クロス乗算
Kurosu jōsan
KKKK
жауып-жауып көбейтіп
ʒa.ʊ.p-ʒa.ʊ.p kʊ.beɪ.tɪ.p
KMKM
ប្រើប្រាស់ ផ្លូវ ត្រង់
prə.rə.p.rɑːs pʰlʊːv tʰrɔŋ
KO한국어
십자곱하기
sip.ja.go.pha.gi
MRMR
क्रॉस गुणा
krɔːs guṇ.a
MSBahasa Melayu
kalikan silang
kɐ.lɪ.kɐn si.lang
MYမြန်မာ
ကြားစီး ပြောင်း
kyaː.sɪ́.ʔɛ́ pʰrɔːŋ
NLNederlands
kruislings vermenigvuldigen
krʊɪ̯s.lɪŋs vɛr.mə.nɪɡ.vʊl.dɪ.ɣən
NONorsk
korsmultiplikasjon
kɔrs.mʊl.tɪ.pli.ka.ˈsjon
PAPA
ਕ੍ਰਾਸ ਗੁਣ
krɔːs guṇ
PLPolski
mnożenie krzyżowe
m.no.ʒe.ɲe krɨˈʐɔ.vɔ.ɡe
PTPortuguês
multiplicar em cruz
mʊl.tɪ.pli.kar ˈe.m kɾu.z
RORomână
înmulțire în cruce
ɪn.mʊl.tɪ.rɪ ˈɛn kɾu.tse
RUРусский
умножить по диагонали
ˈʊm.nɔ.ʒɪt pɔ dɪ.ɐ.ɡɐ.ˈnɑ.lʲɪ
SVSvenska
korsmultiplikation
kɔrs.mʊl.tɪ.pli.ka.t͡ʃoːn
SWKiswahili
kuzidisha kwa pembe
ku.zi.dɪ.ʃa kwa pɛm.bɛ
TAதமிழ்
கடத்தி பெருக்கல்
ka.dɐ.tti pɛ.rʊ.kka.l
TEతెలుగు
క్రాస్ గుణకారం
krɔːs guṇ.ka.ra.m
THไทย
คูณข้าม
kʰūːn kʰām
TLTL
paggamit ng pagsisiwalat
pɐ.ɡɡɐ.mɪt ng pɐ.ɡsɪ.sɪ.wɐ.lɐt
TRTürkçe
çarpı ile çarpma
tʃɑɾ.pı ɪle tʃɑɾ.ma
UKУкраїнська
множення по діагоналі
m.no.ʒe.n.ne po dɪ.a.ɡo.ˈnɑ.lɪ
URاردو
کراس ضرب
kərɑːs d͡ʒrʊb
VITiếng Việt
nhân chéo
n.hân t͡ʃeo
YOYO
ṣeṣe ṣo
ʃe.ʃe ʃo
ZH中文
交叉相乘
jiāxiā xiāng chéng
ZUZU
ukuthi kuhlanganisa
u.ku.thi ku.hlan.ga.ni.sa

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