Berikut ini adalah pertanyaan dari ChewingGum02 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
Q. (+10)
7! =
4⁶ =
4 × 16 =
7! =
4⁶ =
4 × 16 =
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
Jawab:
7
! = 5.040
4⁶ = 4.096
4 × 16 = 64
Penjelasan dengan langkah-langkah:
7!
= (7×6) × (5×4) × (3×2×1)
= 42 × 20 × 6
= 840 × 6
= 5.040
____________________________________
4⁶
= (4×4) × (4×4) × (4×4)
= 16 × 16 × 16
= 256 × 16
= 4.096
___________________
4 × 116
= 64
![Jawaban:Pendahuluan :✿ Faktorial adalah sebuah perkalian yang berurutan dan diawali dari angka yang dimaksud sampai dengan angka 1, faktorial mempunyai simbol yaitu tanda seru (!). Contoh : 1! = 1 2! = 2 × 1 = 23! = 3 × 2 × 1 = 6 4! = 4 × 3 × 2 × 1 = 245! = 5 × 4 × 3 × 2 × 1 = 1206! = 6 × 5 × 4 × 3 × 2 × 1 = 7207! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5.0408! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40.3209! = 9×8×7×6×5×4×3×2×1 = 362.88010! = 10×9×8×7×6×5×4×3×2×1= 3.628.800Bilangan berpangkat merupakan bentuk perkalian berulang dari suatu bilangan yang sama.✿ { Contoh Pangakat 1 }1¹ = 1 × 1 = 12¹ = 2 × 1 = 23¹ = 3 × 1 = 34¹ = 4 × 1 = 45¹ = 5 × 1 = 56¹ = 6 × 1 = 67¹ = 7 × 1 = 78¹ = 8 × 1 = 89¹ = 9 × 1 = 910¹ = 10 × 1 = 1011¹ = 11 × 1 = 1112¹ = 12 × 1 = 1213¹ = 13 × 1 = 1314¹ = 14 × 1 = 1415¹ = 15 × 1 = 15✿ { Contoh Pangkat 2 }2² = 2 × 2 = 43² = 3 × 3 = 94² = 4 × 4 = 165² = 5 × 5 = 256² = 6 × 6 = 367² = 7 × 7 = 498² = 8 × 8 = 649² = 9 × 9 = 8110² = 10 × 10 = 10011² = 11 × 11 = 12112² = 12 × 12 = 14413² = 13 × 13 = 16814² = 14 × 14 = 19615² = 15 × 15 = 22516² = 16 × 16 = 25617² = 17 × 17=28918² = 18 × 18 = 32419² = 19 × 19 = 36120² = 20 × 20 = 40021² = 21 × 21 = 44122² = 22 × 22 = 48423² = 23 × 23 = 52924² = 24 × 24 = 57625² = 25 × 25 = 62526² = 26 × 26 = 67627² = 27 × 27 = 72928² = 28 × 28 = 78429² = 29 × 29 = 84130² = 30 × 30 = 90031² = 31 × 31 = 96133² = 33 × 33 = 1.08934² = 34 × 34 = 1.15635² = 35 × 35 = 1.22536² = 36 × 36 = 1.29637² = 37 × 37 = 1.36938² = 38 × 38 = 1.44439² = 39 × 39 = 1.52140² = 40 × 40 = 1.60041² = 41 × 41 = 1.68142² = 42 × 42 = 1.76443² = 43 × 43 = 1.84944² = 44 × 44 = 1.93645² = 45 × 45 = 2.02546² = 46 × 46 = 2.11647² = 47 × 47 = 2.20948² = 48 × 48 = 2.304 49² = 49 × 49 = 2.40150² = 50 × 50 = 2.500✿ { Contoh Pangkat 3 }2³ = 2 × 2 × 2 = 83³ = 3 × 3 × 3 = 274³ = 4 × 4 × 4 = 645³ = 5 × 5 × 5 = 1256³ = 6 × 6 × 6 = 2167³ = 7 × 7 × 7 = 3438³ = 8 × 8 × 8 = 5129³ = 9 × 9 × 9 = 72910³ = 10 × 10 × 10 = 1.00011³ = 11 × 11 × 11 = 1.33112³ = 12 × 12 × 12 = 1.72813³ = 13 × 13 × 13 = 2.19714³ = 14 × 14 × 14 = 2.74415³ = 15 × 15 × 15 = 3.37516³ = 16 × 16 × 16 = 4.09617³ = 17 × 17 × 17 = 4.91318³ = 18 × 18 × 18 = 5.83219³ = 19 × 19 × 19 = 6.85920³ = 20 × 20 × 20 = 8.000✿ { Contoh Pangkat 4 }2⁴ = 2 × 2 × 2 × 2 = 163⁴ = 3 × 3 × 3 × 3 = 814⁴ = 4 × 4 × 4 × 4 = 2565⁴ = 5 × 5 × 5 × 5 = 6256⁴ = 6 × 6 × 6 × 6 = 1.2967⁴ = 7 × 7 × 7 × 7 = 2.4018⁴ = 8 × 8 × 8 × 8 = 4.0969⁴ = 9 × 9 × 9 × 9 = 6.56110⁴ = 10 × 10 × 10 × 10 = 10.00011⁴ = 11 × 11 × 11 × 11 = 14.64112⁴ = 12 × 12 × 12 × 12 = 20.73613⁴ = 13 × 13 × 13 × 13 = 28.56114⁴ = 14 × 14 × 14 × 14 = 38.41615⁴ = 15 × 15 × 15 × 15 = 50.625✿ { Contoh Pangkat 5 }2⁵ = 2 × 2 × 2 × 2 × 2 = 323⁵ = 3 × 3 × 3 × 3 × 3 = 2434⁵ = 4 × 4 × 4 × 4 × 4 = 1.0245⁵ = 5 × 5 × 5 × 5 × 5 = 3.1256⁵ = 6 × 6 × 6 × 6 × 6 = 7.7767⁵ = 7 × 7 × 7 × 7 × 7 = 16.8078⁵ = 8 × 8 × 8 × 8 × 8 = 32.7689⁵ = 9 × 9 × 9 × 9 × 9 = 59.04910⁵ = 10 × 10 × 10 × 10 × 10 = 100.00011⁵ = 11 × 11 × 11 × 11 × 11 = 161.05112⁵ = 12 × 12 × 12 × 12 × 12 = 248.83213⁵ = 13 × 13 × 13 × 13 × 13 = 371.29314⁵ = 14 × 14 × 14 × 14 × 14 = 537.82415⁵ = 15 × 15 × 15 × 15 × 15 = 759.375✿ Perkalian adalah operasi matematika penskalaan satu bilangan dengan bilangan lain perkalian disimbolkan dengan tanda kali (×).Sifat - sifat Perkalian :( - ) × ( - ) = ( + )( - ) × ( + ) = ( - )( + ) × ( - ) = ( - ) Contoh perkalian 1 :1 × 1 = 12 × 1 = 23 × 1 = 34 × 1 = 45 × 1 = 56 × 1 = 67 × 1 = 78 × 1 = 89 × 1 = 910 × 1 = 10Contoh perkalian 2 :1 × 2 = 22 × 2 = 43 × 2 = 64 × 2 = 85 × 2 = 106 × 2 = 127 × 2 = 148 × 2 = 169 × 2 = 1810 × 2 = 20Contoh perkalian 3 :1 × 3 = 32 × 3 = 63 × 3 = 94 × 3 = 125 × 3 = 156 × 3 = 187 × 3 = 218 × 3 = 249 × 3 = 2710 × 3 = 30Penyelesaian :7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 42 × 5 × 4 × 3 × 2 × 1 = 210 × 4 × 3 × 2 × 1 = 840 × 3 × 2 × 1 = 2.520 × 2 × 1 = 5.040 × 1 = 5.040= 4⁶= 4 × 4 × 4 × 4 × 4 × 4= 16 × 4 × 4 × 4 × 4= 64 × 4 × 4 × 4= 256 × 4 × 4= 1.024 × 4= 4.096= 4 × 16 = 64Kesimpulan :7! = 5.0404⁶ = 4.0964 × 16 = 64Pelajari lebih lanjut :](https://id-static.z-dn.net/files/d06/64203c85d3dad69b1bf07a6a9d5651c7.jpg)
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Last Update: Thu, 05 May 22