Matematikadagi aldash varaqalari to'plami.
Tarkib
Matematika xiyosi varaqlari - matematik belgilar
Matematika xiyosi varaqlari - matematik belgilar:
- Asosiy matematik belgilar
Belgi | Belgining nomi | Ma'nosi / ta'rifi | misol |
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= | teng belgi | tenglik | 5 = 2 + 3 5 teng 2 + 3 |
≠ | belgisi teng emas | tengsizlik | 5 ≠ 4 5 4 ga teng emas |
≈ | taxminan teng | yaqinlashish | gunoh (0,01) ≈ 0.01, x ≈ shilmoq buni anglatadi x taxminan teng shilmoq |
/ | qat'iy tengsizlik | bundan ko'proq | 5/ 4 5 dan 4tasi |
< | qat'iy tengsizlik | dan kichik; .. dan kamroq | 4 \u003c5 4 dan kam |
≥ | tengsizlik | ko'proq yoki teng | 5 ≥ 4, x ≥ shilmoq buni anglatadi x ko'proq yoki teng shilmoq |
≤ | tengsizlik | kamroq yoki teng | 4 ≤ 5, x ≤ y buni anglatadi x kamroq yoki teng shilmoq |
() | dumaloq qavs | avval ichidagi iborani hisoblang | 2 × (3 + 5) \u003d 16 |
[] | qavslar | avval ichidagi iborani hisoblang | [(1 + 2) × (1 + 5) \u003d 18 |
+ | plus belgisi | qo'shimcha | 1 + 1 = 2 |
— | minus belgisi | ajratish | 2 — 1 = 1 |
± | ortiqcha - minus | operatsiyalar va minus | 3 ± 5 \u003d 8 yoki -2 |
± | minus plyus | ikkala minus ham, ortiqcha operatsiya | 3 ∓ 5 \u003d -2 yoki 8 |
* | yulduz | ko'paytirish | 2 * 3 = 6 |
× | vaqt belgisi | ko'paytirish | 2 × 3 \u003d 6 |
⋅ | ko'plab ko'payish nuqtasi | ko'paytirish | 2 ⋅ 3 = 6 |
÷ | bo'lim / GAP | taqsimlash | 6 ÷ 2 \u003d 3 |
/ | shishishning murakkab xususiyati | taqsimlash | 6/2 = 3 |
— | gorizontal chiziq | bo'lim / kassa | |
madd | modulga ko'ra | qolgan qismini hisoblash | 7 MOD 2 \u003d 1 |
. | davr | o'nlik kasr, ijarachi | 2,56 = 2 + 56/100 |
a b | kuch | eksponent | 2 3= 8 |
a ^ b | tashish | eksponent | 2 ^ 3 \u003d 8 |
√ a | kvadrat ildiz |
√ va ⋅ √ a \u003d a |
√ 9 \u003d ± 3 |
3 √ a | kubik ildiz | 3 √ A ⋅3 √ a ⋅3 √ A \u003d a | 3 √ 8 \u003d 2 |
4 √ a | to'rtinchi ildiz | 4 √ A ⋅4 √ a ⋅4 √ a ⋅4 √ A \u003d a | 4 √ 16 \u003d ± 2 |
pechka √ a | nIF darajasi ildizi (radikal) | uchun n. \u003d 3, n. √ 8 \u003d 2 | |
% | foiz | 1% = 1/100 | 10% × 30 \u003d 3 |
‰ | pmil | 1 ‰ \u003d 1/1000 \u003d 0,1% | 10 ー × 30 \u003d 0.3 |
ppm | million uchun | Bir millionga 1 qism \u003d 1/1000000 | Bir millionga 10 qism × 30 \u003d 0.0003 |
ppb | milliardga | 1ppb \u003d 1/1000000000 | 10ppb × 30 \u003d 3 × 10-7 |
put | trilliongacha | 1PPT \u003d 10 -12 | 10 soat × 30 \u003d 3 × 10-10 |
Boshlang'ich maktab uchun matematika xiylasi
Boshlang'ich maktab uchun matematika varag'i:
S \u003d a * b a \u003d s: b b \u003d s: a |
S-samolyot bir kun b-shirina |
To'rtburchaklar maydonini topish |
P \u003d (a + b) * 2 P \u003d a * 2 + b * 2 |
P-perimetr bir kun b-shirina |
To'rtburchaklar perimetrini topish |
P \u003d a * 4 |
P-perimetr xalal |
Kvadratning perimetri |
a \u003d b * c + r, r \u003cb \u003cSpan \u003d "\u003e\u003e |
ayyor b-etakchi xususiy r-chekka |
Qolgan qismi bilan bo'linish |
S \u003d v * t v \u003d s: t t \u003d s: v |
S-shart chandiq t-bekati |
Yo'lning formulasi |
C \u003d c * k C \u003d c: k K \u003d c: c |
C- a-narx n-kanalizm |
Qiymati formulasi |
V ∙ t \u003d s S: t \u003d v S: v \u003d t |
V -si tvme S-shart |
Tirbandlik |
a + b \u003d b + a a * b \u003d b * a |
Miqdor (ish) atamalarni o'zgartirishdan o'zgarmaydi (ko'paytiruvchilar) |
Mulkdan qochish |
(a + b) + c \u003d a + (b + c) (A * b) * c \u003d a * (b * c) |
Ikkita qo'shni atama (ko'paytiruvchilar) ularning miqdori (ish) bilan almashtirish mumkin |
Birlashtirilgan mulk |
- Qo'shimcha jadval
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- Ekranish jadvali
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- Ko'p sonli ko'paytirish jadvali 1 dan 20 gacha
× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 | 22 | 24 | 26 | 28 | 30 | 32 | 34 | 36 | 38 | 40 |
3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 | 33 | 36 | 39 | 42 | 45 | 48 | 51 | 54 | 57 | 60 |
4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 | 44 | 48 | 52 | 56 | 60 | 64 | 68 | 72 | 76 | 80 |
5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 | 75 | 80 | 85 | 90 | 95 | 100 |
6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 | 66 | 72 | 78 | 84 | 90 | 96 | 102 | 108 | 114 | 120 |
7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 | 77 | 84 | 91 | 98 | 105 | 112 | 119 | 126 | 133 | 140 |
8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 | 88 | 96 | 104 | 112 | 120 | 128 | 136 | 144 | 152 | 160 |
9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 | 99 | 108 | 117 | 126 | 135 | 144 | 153 | 162 | 171 | 180 |
10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 200 |
11 | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 110 | 121 | 132 | 143 | 154 | 165 | 176 | 187 | 198 | 209 | 220 |
12 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 96 | 108 | 120 | 132 | 144 | 156 | 168 | 180 | 192 | 204 | 216 | 228 | 240 |
13 | 13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130 | 143 | 156 | 169 | 182 | 195 | 208 | 221 | 234 | 247 | 260 |
14 | 14 | 28 | 42 | 56 | 70 | 84 | 98 | 112 | 126 | 140 | 154 | 168 | 182 | 196 | 210 | 224 | 238 | 252 | 266 | 280 |
15 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 | 135 | 150 | 165 | 180 | 195 | 210 | 225 | 240 | 255 | 270 | 285 | 300 |
16 | 16 | 32 | 48 | 64 | 80 | 96 | 112 | 128 | 144 | 160 | 176 | 192 | 208 | 224 | 240 | 256 | 272 | 288 | 304 | 320 |
17 | 17 | 34 | 51 | 68 | 85 | 102 | 119 | 136 | 153 | 170 | 187 | 204 | 221 | 238 | 255 | 272 | 289 | 306 | 323 | 340 |
18 | 18 | 36 | 54 | 72 | 90 | 108 | 126 | 144 | 162 | 180 | 198 | 216 | 234 | 252 | 270 | 288 | 306 | 324 | 342 | 360 |
19 | 19 | 38 | 57 | 76 | 95 | 114 | 133 | 152 | 171 | 190 | 209 | 228 | 247 | 266 | 285 | 304 | 323 | 342 | 361 | 380 |
20 | 20 | 40 | 60 | 80 | 100 | 120 | 140 | 160 | 180 | 200 | 220 | 240 | 260 | 280 | 300 | 320 | 340 | 360 | 380 | 400 |
Uzunlik birliklari 1 sm \u003d 10 mm 1 dm \u003d 10 sm 1 dm \u003d 100 mm 1 m \u003d 100 sm 1 m \u003d 10 dm 1 m \u003d 1000 mm 1 km \u003d 1000 m
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Maydonning birliklari 1 sm2 \u003d 100 mm2 1 dm2 \u003d 100 sm2 1 dm2 \u003d 10,000 mm2 1 m2 \u003d 10,000 sm2 1 m2 \u003d 100 dm2 1 km2 \u003d 1,000,000 m2 1 a \u003d 100 m2 1 ha \u003d 100 a 1 km2 \u003d 100 gektar 1 km2 \u003d 10,000 a 1 ha \u003d 10,000 m2
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Massa birliklari 1 kg \u003d 1000 g 1 c \u003d 100 kg 1 c \u003d 100,000 g 1 t \u003d 1000 kg 1 t \u003d 10 c |
Vaqt birliklari 1 min \u003d 60 sek 1 h \u003d 60 min 1 h \u003d 3 600 sek 1 kun. \u003d 24 soat 1 yil \u003d 12 oy. 1 asr \u003d 100 yil
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Qo'shimcha xususiyatlar |
Ajratish xususiyatlari |
1. Restival Mulk: a + b \u003d b + a |
1. Miqdorni quyidagilardan ajratish: a- (b + c) \u003d a-b-C, b + c \u003ca yoki b + c \u003d a |
2. Mulk deb nomlangan: a + (b + c) \u003d (a + b) + c \u003d a + b + c |
2. Raqamni miqdordan ajratish: (a + b) - \u003d a + (b-c), c \u003cb yoki c \u003d b (a + b) - \u003d (A-C) + b, c \u003cyoki c \u003d a |
3. Nol klub: a + 0 \u003d 0 + A \u003d a |
3. Nol mulki: a-0 \u003d a; A-A \u003d 0 |
Matematika xiyoni varaqalari - fraktsiyalar
Matematika xiyosi choyshablari - fraktsiyalar:
Qoida: |
Namunaviy eritma |
1. Da qo'shimcha (ajratish) fraktsiya bilan bir xil denominatorlar Biz ularning sonlarini (ajratib turuvchi) va denominatorni bir xil tashlaymiz. |
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2. Da qo'shimcha (ajratish) fraktsiya bilan turli xil denominatorlar Birinchidan, ularni umumiy denominatorga olib boring va keyin 1-qoida. |
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3. Da qo'shimcha bir xil denominatorlar bilan aralashtirilgan raqamlar Biz ularning butun qismlarini va fraktsion qismlarini boqamiz. Fraksion qismlar muvofiqlashtiriladi 1-qoida.
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4. Da ajratish bir xil denominatorlar bilan aralashtirilgan raqamlar Biz ularning butun qismlarini va kasr qismlarini olib tashlaymiz.
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5. Da qo'shimcha (ajratish) turli xil denominatorlar bilan aralashtirilgan raqamlar Birinchidan, biz ularning farzlaklarini umumiy denominatorga olib boramiz va keyin 3-qoidalar ( 4-qoidaga muvofiq). |
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Qoida: |
Namunaviy eritma |
7.Da ko'paytirish raqam uchun kasrlar Faqat raqami ushbu raqamni ko'paytiradi va denominatorni bir xil qoldiradi. |
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sakkiz.Da ko'paytirish kasr Biz hisoblagich tomonidan hisoblovchi va denroinator tomonidan denroinator tomonidan ko'payamiz. |
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9.Da ko'paytirish aralash raqamlari Biz ularni noto'g'ri kasrga beramiz va keyin qoidalar 8. |
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o'nta.Da taqsimlash kasr Bo'limning o'rnini ko'paytirish bilan almashtiriladi, biz ikkinchi zarbani amalga oshiramiz 6-qoidalar 6. |
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o'n bir.Da taqsimlash raqam uchun kasrlar Siz bu raqamni denominator 1 bilan frax shaklida yozishingiz kerak, keyin 10-qoidalar. |
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12.Da taqsimlash aralash raqamlari Biz ularni noto'g'ri kasrga beramiz va keyin 10-qoidalar. |
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13.Da taqsimlash aralash raqami butun son raqami uchun Biz aralash raqamni tartibsiz fraktsiyaga tarjima qilamiz va keyin birga 11-qoidalar. |
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o'n to'rt.Ga aralash raqami tarjima qilmoq ichida noto'g'ri kasr Siz denominatorni butun qisman ko'paytirishingiz va raqamni qo'shishingiz kerak. Natijada hosil bo'lgan raqamni raqamchida yozib oling va denominatorni bir xil qoldiring. |
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