Kuwanza Huwandu

Muchidzidzo masvomhu kuwanza (multiplication in English) nhamba mbiri, kwakafanana nekuunganidza mapoka ane huwandu hwakaenzana nenhamba yechipiri - boka rimwe nerimwe rine nhengo dzinokwana kuenzana nenhamba yekutanga. Panoitwa maunga huwandu nhamba yekutanga inenge ichiwedzaniswa kanokwana kuenzana nenhamba yechipiri. Asiwo nhamba yechipiri inogona kuva iyo iri kuwedzaniswa kanokwana kuenzana nenhamba yekutanga. 

Somuenzaniso, nhatu (3) kuwanza neina (4), zvakafanana nokuwedzanisa nhatu (3) kanokwana kana (4):

:3 \times 4 = 3 + 3 + 3 + 3 = 12.\!\,

Nokumwe kutaura panganzi zvinhu zvitatu zviri kupetwa kana.  Apa tinenge tichivamba kuverenga boka rezvitatu rokutanga kusvika pane boka rechina. Saka kuti tirerutse kutaura, paya panonzi kuEnglish, *12 times 10* isu tinokwanisa kuti *gumi nembiri kuwanza negumi* - kureva kudzokorora kuverenga boka rezvinhu gumi nembiri kanokwana kagumi.

## Kujekesa

* Pamuenzaniso uri pamusoro **3 X 4 = 12**: apa *[[chiwanzwa_(nhamba)|chiwanzwa]]* chezvinhu gumi nezviviri ndihwo huwandu hunobuda pakuwanza nhatu (3) kanokwana **kana** (4). 

* Nemumwe muonero tinogona kuti chiwanza chezvinhu gumi nezviviri (12) chinowanikwa pakuti chimwe nechimwe chemapoka **mana** (4) chaunganidza nhengo nhatu (3).
* Pamuenzaniso uri pamusoro tingati pane mapoka mana (4), rimwe nerimwe rine nhengo nhatu (3) ari kuunganidzwa kanokwana kana (4) achizopa nhengo gumi nembiri.
* Izwi rokuti **chiwanzwa** riri kushandiswa pano kureva zvinhu zvizhinji zvinonzi **multiple** kuEnglish. 
* Saka pano tinogona kutaura kuti zvinhu gumi nembiri (12) chiwanza cha 3 na 4. KuEnglish zvonzi **12 is a multiple of 3 and 4**.
*Takatora chero nhamba *n*, toti **n kuwanza na 0**, tinoreva kuti *n* aunganidzwa kanokwana ka zero saka hapana chiripo. Mhinduro yacho ya **n x 0 = 0**.

Chiitiko chokuwanza huwandu ndicho chinoshandiswa pakuita Tafura yeKuwanza Huwandu  - *multiplication tables*. Somuenzaniso kana shanu ariye nhamba iri kuraviwa nayo tinoti: 5, 10, 15, 20, 25, 30, 35, 40, 45..., zvichingodaro.

**Kurerutsa mutauro** 

Zvakafanira kuti pange pachiturikirwa mazwi kubva kuEnglish kuenda kuChishona kuti zvireruke pakutaura masvomhu. Saka mukutaura mazuva ose zvinenge zvamira sezvizvi: 

* **Multiplication** inenge ichinzi Ruwanza Huwandu, 
* **Multiplying** yonzi iyo kuwanza. 
* **Multiply** 4 by 5 inenge yonzi,  **wanzanisa** ina (4) neshanu (5). 
*Pakutaura zvizere, *four multiplied by 5* kunenge kuchinzi *ina* kuwanza ne*shanu*.
*Pakutaura muchidimbu, *four times five* inenge yonzi *zvina* kuwanzana ne*shanu*.
* Cherechedzai kuti zviri kutaurwa zvakafanana nezvizvi zviri pasi; kubatanidza ana 4 kanokwana kashanu (5):

:4 \times 5 = 4 + 4 + 4 + 4 + 4 = 20.\!\,

## Manyorerwo

Kuwanza kunonyanya kunyorwa kuchishandiswa chiratidzo chekuwanza huwandu "x" pakati penhamba dziri kuwanzana. Mhedzisiro yacho inopangidzwa nechiratidzo chekuenzana (equals sign). Somuenzaniso:

:2\times 3 = 6 (Pakutaura muchidimbu, *mbiri (2) kuwanzana nenhatu (3) zvakaenzana na 6*)

:3\times 4 = 12 (Pakutaura zvizere, *nhatu (3) kuwanzana ne*ina* zvakaenzana ne*gumi nembiri*)

:<math>2\times 3\times 5 = 6\times  5 = 30</math>

:<math>2\times 2\times 2\times 2\times 2 = 32</math>


Kune manyorero akawanda anoshandiswa pa[[kuwanza_(huwandu)|kuwanza]] sezvizvi:


* [[Kuwanza_(huwandu)|Kuwanza]] kunopangidzwa ne[[dhoti]] pakati sezvizvi: 

:<math>5 \cdot 2 \quad\text{or}\quad 5\,.\,2</math>

* [[Asterisk]] (seiri apa <code>5*2</code>) inoshandiswa pa[[computer]]. 

* Kana kuri ku[[Algebra]], [[kuwanza_(huwandu)|kuwanza]] kunopangidzwa kuchinyorwa mavara ari [[kuwanzana_(nhamba)|kuwanzana]] ari pedo-nepedo kana nhamba dziri mu[[bhuraketi]] (e.g. *xy* kureva *x* [[kuwanzana_(nhamba)|kuwanzana]] na*y* kana kuti 5*x* kureva 5 [[kuwanzana_(nhamba)|kuwanzana]] na*x*). Manyorero aya anoshandiswa panhamba dzakakombwa nema[[bhuraketi]] (e.g. 5(2) or (5)(2) for five times two).

==Mitauro ye[[ChiBantu]]==

*[[VaHerero]] vanoti *'takavara** (multiply). [[VaTsonga]] vanoti **andza** (multiply).
*[[VaKagulu]] vanoti **ku-ongeza** (multiply). Mamwe mazwi: **ku-lunda** (v. multiply, congregate).
*VaKagulu vanoti **walundile, ilundo** kana **malundo** (n. multitude).
*[[VaVenda]] vanoti **muandiso''' (n. multiplication).