Squaring fractions yog ib txoj haujlwm yooj yim tshaj plaws ntawm cov zauv. Qhov no zoo ib yam li squaring txhua tus lej hauv qhov uas koj yooj yim muab tus lej thiab tus faib los ntawm tus lej nws tus kheej. Kuj tseem muaj cov xwm txheej uas ua kom yooj yim ib feem ua rau squaring yooj yim dua. Yog tias koj tsis paub nws twb dhau los lawm, kab lus no yuav muab tshuaj xyuas yooj yim uas yuav ua rau koj nkag siab yooj yim dua.
Kauj ruam
Ntu 1 ntawm 3: Squaring Fractions
Kauj Ruam 1. Nkag siab yuav ua li cas faib txhua tus lej
Thaum koj pom lub zog ntawm ob, nws txhais tau tias tus lej yuav tsum tau muab faib ua ob. Txhawm rau ua qhov no, muab tus lej los ntawm tus lej nws tus kheej. Piv txwv li:
52 = 5 × 5 = 25
Kauj Ruam 2. Paub tias squaring feem ua haujlwm zoo ib yam
Txhawm rau faib ib feem, koj muab cov feem faib los ntawm cov feem nws tus kheej. Koj tuaj yeem ua qhov no los ntawm kev suav tus lej thiab tus faib los ntawm tus lej nws tus kheej. Piv txwv li:
- (5/2)2 = 5/2 × 5/2 los yog (52/22).
- Squaring txhua tus lej yields (25/4).
Kauj Ruam 3. Muab tus zauv faib nws tus kheej, thiab tus faib los ntawm nws tus kheej
Qhov kev txiav txim tsis muaj teeb meem ntev npaum li koj faib ob tus lej. Txhawm rau ua kom yooj yim, pib nrog tus lej: muab tus lej los ntawm tus lej nws tus kheej. Tom qab ntawd, muab tus lej faib los ntawm tus lej nws tus kheej.
- Hauv kev faib ua feem, tus lej yog tus lej nyob saum thiab tus faib yog tus lej nyob hauv qab.
- Piv txwv li: (5/2)2 = (5x5 ua/2x2 ua) = (25/4).
Kauj Ruam 4. Yooj yim rau feem me me
Thaum ua haujlwm nrog kev faib ua feem, cov kauj ruam kawg yog ib txwm los txo qhov feem rau nws daim ntawv yooj yim tshaj plaws, lossis hloov qhov feem tsis tsim nyog mus rau tus lej sib xyaw. Los ntawm peb tus piv txwv, 25/4 yog ib feem tsis raug vim hais tias tus lej suav ntau dua li tus faib.
Txhawm rau hloov ib feem mus rau tus lej sib xyaw, piv txwv li 25 faib los ntawm 4. Muab nws sib npaug 6 (6 x 4 = 24) nrog qhov seem ntawm 1. Yog li, tus lej sib xyaw yog 6 1/4.
Ntu 2 ntawm 3: Squaring Fractions with Negative Numbers
Kauj Ruam 1. Paub cov cim tsis zoo nyob rau ntawm xub ntiag
Yog tias koj tab tom ua haujlwm nrog qhov tsis zoo, lub cim rho tawm yuav nyob ntawm nws xub ntiag. Nws yog lub tswv yim zoo kom coj tus cwj pwm tsis zoo tso rau hauv kab lus kom koj paub tus cim "-" hais txog tus lej thiab tsis txhob rho ob tus lej.
Piv txwv li: (-2/4)
Kauj Ruam 2. Muab cov zauv faib los ntawm tus lej nws tus kheej
Kev faib ua plaub fab zoo li ib txwm los ntawm kev muab tus lej faib thiab faib los ntawm lawv tus lej. Xwb, koj tuaj yeem sib faib cov feem los ntawm tus lej ntawm nws tus kheej.
Piv txwv li: (-2/4)2 = (–2/4) x (-2/4)
Kauj Ruam 3. Nkag siab tias kev sib tw ob tus lej tsis zoo ua rau tus lej zoo
Thaum muaj tus lej rho tawm, txhua feem ua tsis zoo. Thaum koj faib ib feem, koj muab ob tus lej tsis zoo, qhov tshwm sim yog tus lej zoo.
Piv txwv li: (-2) x (-8) = (+16)
Kauj Ruam 4. Tshem cov cim tsis zoo tom qab tus lej sib npaug
Los ntawm squaring ib feem, koj tab tom muab ob tus lej tsis zoo. Ntawd yog, squaring cov feem yuav ua rau tus lej zoo. Nco ntsoov koj sau cov lus teb yam tsis muaj tus cim tsis zoo.
- Txuas ntxiv qhov piv txwv saum toj no, qhov tshwm sim ntawm squaring feem yog tus lej zoo.
- (–2/4) x (-2/4) = (+4/16)
- Feem ntau, "+" kos npe tsis tas yuav qhia tus lej zoo.
Kauj Ruam 5. Txo cov feem rau nws daim ntawv yooj yim tshaj plaws
Kauj ruam kawg hauv txhua qhov kev suav suav nrog feem yog ib txwm yooj yim. Cov feem uas tsis sib xws yuav tsum yooj yim rau cov lej sib xyaw thiab tom qab ntawd txo qis.
- Piv txwv li: (4/16) muaj qhov sib npaug ntawm 4.
- Sib faib cov feem ntawm 4: 4/4 = 1, 16/4 = 4
- Hloov ua feem yooj yim:(1/4)
Ntu 3 ntawm 3: Siv Kev Yooj Yim thiab Kev Txiav Txim
Kauj Ruam 1. Txheeb xyuas yog tias koj tuaj yeem yooj yim Fraction ua ntej squaring
Feem ntau, cov zauv yooj yim rau cov square yog tias lawv yooj yim ua ntej. Nco ntsoov, rho tawm ib feem txhais tau tias faib los ntawm nws qhov sib xws kom txog thaum tsuas yog ib tus tuaj yeem faib ob tus lej thiab tus faib. Rho tawm qhov feem ua ntej txhais tau tias tsis tas yuav xav tau qhov yooj yim tom kawg ntawm kev suav.
- Piv txwv li: (12/16)2
- 12 thiab 16 yog faib los ntawm 4. 12/4 = 3 thiab 16/4 = 4. Yog li ntawd, 12/16 txo rau 3/4.
- Tam sim no, koj yuav square feem 3/4.
- (3/4)2 = 9/16, uas tsis tuaj yeem yooj yim ntxiv.
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Txhawm rau ua pov thawj nws, cia peb faib cov feem tsis muaj qhov yooj yim:
- (12/16)2 = (12 x 12 po/16 x 16 po) = (144/256)
- (144/256) muaj qhov sib txuam sib luag ntawm 16. Sib faib cov zauv thiab faib ua 16 txo qhov feem rau (9/16). Peb tuaj yeem pom, qhov yooj yim thaum pib thiab qhov kawg ua rau ib feem me me.
Kauj Ruam 2. Kawm kom paub thaum twg yuav ncua qhov feem yooj yim
Thaum daws cov kab zauv yooj yim dua, koj tuaj yeem ncua ib qho ntawm cov xwm txheej. Hauv qhov no, nws yooj yim dua los ua cov lej yog tias koj ncua qhov ua kom yooj yim ib feem. Peb yuav muab qhov tseem ceeb ntxiv los ntawm qhov piv txwv saum toj no.
- Piv txwv li: 16 × (12/16)2
- Ua kom puas lub xwmfab thiab hla qhov sib npaug ntawm 16: 16 * 12/16 * 12/16
Txij li muaj ib tus 16 hauv tus lej tag nrho thiab ob 16 hauv tus faib, koj tuaj yeem hla tawm ib ntawm lawv
- Rov sau dua qhov sib npaug yooj yim: 12 × 12/16
- Rho tawm 12/16 muab faib ua 4: 3/4
- Sib npaug: 12 × 3/4 = 36/4
- Sib faib: 36/4 = 9
Kauj Ruam 3. Nkag siab yuav siv cov lus luv luv nthuav tawm li cas
Lwm txoj hauv kev los daws qhov piv txwv zoo ib yam yog ua kom yooj yim cov lus piav qhia. Qhov kawg tshwm sim yog tib yam, tsuas yog kev daws teeb meem sib txawv.
- Piv txwv li: 16 * (12/16)2
- Sau dua tshiab nrog tus lej thiab faib ua plaub fab: 16 * (122/162)
- Tshem tawm qhov nthuav tawm hauv tus faib: 16 * 122/162
Xav txog thawj 16 muaj qhov nthuav tawm ntawm 1:161. Siv cov cai rau kev faib cov lej nthuav tawm, rho tawm cov lus nthuav tawm. 161/162, qhov tshwm sim yog 161-2 = 16-1 los yog 1/16.
- Tam sim no, koj ua: 122/16
- Sau dua thiab ua kom yooj yim rau feem: 12*12/16 = 12 * 3/4.
- Sib npaug: 12 × 3/4 = 36/4
- Sib faib: 36/4 = 9
