…………………………………….. :)
Penjelasan dengan langkah-langkah:
√49 × √9
= √7² × √3²
= 7 × 3
= 21
4! × 6!
= [4 × 3 × 2 × 1] × [6 × 5 × 4 × 3 × 2 × 1]
= [12 × 2 × 1] × [30 × 4 × 3 × 2 × 1]
= [24 × 1] × [120 × 3 × 2 × 1]
= 24 × [360 × 2 × 1]
= 24 × [720 × 1]
= 24 × 720
= 17.280
45 × 25
= 1.125
[cara di lampiran]2
Bonus contoh faktorial 8! 9! 10! dan 12!
8!
= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 56 × 6 × 5 × 4 × 3 × 2 × 1
= 336 × 5 × 4 × 3 × 2 × 1
= 1.680 × 4 × 3 × 2 × 1
= 6.720 × 3 × 2 × 1
= 20.160 × 2 × 1
= 40.320 × 1
= 40.320
9!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 72 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 504 × 6 × 5 × 4 × 3 × 2 × 1
= 3.024 × 5 × 4 × 3 × 2 × 1
= 15.120 × 4 × 3 × 2 × 1
= 60.480 × 3 × 2 × 1
= 181.440 × 2 × 1
= 362.880 × 1
= 362.880
10!
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 90 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 720 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5.040 × 6 × 5 × 4 × 3 × 2 × 1
= 30.240 × 5 × 4 × 3 × 2 × 1
= 151.200 × 4 × 3 × 2 × 1
= 604.800 × 3 × 2 × 1
= 1.814.400 × 2 × 1
= 3.628.800 × 1
= 3.628.800
12!
= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 132 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 1.320 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 11.880 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 95.040 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 665.280 × 6 × 5 × 4 × 3 × 2 × 1
= 3.991.680 × 5 × 4 × 3 × 2 × 1
= 19.958.400 × 4 × 3 × 2 × 1
= 79.833.600 × 3 × 2 × 1
= 239.500.800 × 2 × 1
= 479.001.600 × 1
= 479.001.600
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Answer By : Medina468
- Hasil dari √49 × √9 adalah 21.
- Hasil dari 4! × 6! adalah 17.280
- Hasil dari 45 × 25 adalah 1.125
Pendahuluan:
» Perkalian adalah operasi matematika penskalaan 1 bilangan dengan bilangan lain.
» Sederhananya perkalian merupakan penjumlahan berulang.
Formula
- (+) × (+) = (+)
- (-) × (-) = (+)
- (-) × (+) = (-)
- (+) × (-) = (-)
Pembahasan:
1.
√49 × √9
= √7² × √3²
= 7 × 3
= (3 + 3 + 3 + 3 + 3 + 3 + 3)
= (6 + 3 + 3 + 3 + 3 + 3)
= (9 + 3 + 3 + 3 + 3)
= (12 + 3 + 3 + 3)
= (15 + 3 + 3)
= (18 + 3)
= 21
2.
4! × 6!
= (4 × 3 × 2 × 1) × 6!
= (12 × 2 × 1) × 6!
= (24 × 1) × 6!
= 24 × 6!
= 24 × (6 × 5 × 4 × 3 × 2 × 1)
= 24 × (30 × 4 × 3 × 2 × 1)
= 24 × (120 × 3 × 2 × 1)
= 24 × (360 × 2 × 1)
= 24 × (720 × 1)
= 24 × 720
= (720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720 + 720)
= (1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440 + 1440)
= (2880 + 2880 + 2880 + 2880 + 2880 + 2880)
= (5760 + 2880 + 2880 + 2880 + 2880)
= (8640 + 2880 + 2880 + 2880)
= (11.520 + 2880 + 2880)
= (14.400 + 2880)
= 17.280
3.
45 × 25
= (45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45 + 45)
= (90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 45)
= (180 + 180 + 180 + 180 + 180 + 180 + 45)
= (360 + 360 + 360 + 45)
= (720 + 360 + 45)
= (1080 + 45)
= 1125
Kesimpulan:
Soal diatas adalah soal Perkalian tapi bilangannya bentuknya beragam.
Pelajari Lebih Lanjut:
» Tuliskan Perkalian 1 Sampai 10
» Tuliskan Perkalian 11 Sampai 20
» Apa Yang Dimaksud Perkalian?
Detail Jawaban:
» Mata Pelajaran : Matematika
» Kelas : 4 SD
» Materi : Operasi Hitung Bilangan
» Kode Kategorisasi : 4.2.1
» Kata Kunci : Perkalian berbagai bentuk bilangan