1. 7! × 3! = ... + 4!
2. 5! - 2! = ... × 3!
Note : Hai :D
Jawaban:
[tex]\boxed{\mathfrak \purple{No \: 1 :}}[/tex]
[tex] \\ [/tex]
[tex]\bold\color{hotpink}{ → \: soal}[/tex]
[tex]\boxed{7! × 3! = ... + 4!}[/tex]
[tex] \\ [/tex]
• 7! × 3!
• = (7 × 6 × 5 × 4 × 3 × 2 × 1) × 3!
• = (42 × 5 × 4 × 3 × 2 × 1) × 3!
• = (210 × 4 × 3 × 2 × 1) × 3!
• = (840 × 3 × 2 × 1) × 3!
• = (2.520 × 2 × 1) × 3!
• = (5.040 × 1) × 3!
• = 5.040 × ( 3 × 2 × 1)
• = 5.040 × ( 6 × 1)
• = 5.040 × 6
• = 30.240
----------------
maka,
• = 30.240 + 4!
• = 30.240 + ( 4 × 3 × 2 × 1 )
• = 30.240 + ( 12 × 2 × 1 )
• = 30.240 + ( 24 × 1 )
• = 30.240 + 24
• = [tex]\boxed{30.264}[/tex]
[ Koreksi ]
[tex] \\ [/tex]
Kesimpulan :
- Maka,nilai dari 7! × 3! = ... + 4! adalah [tex]\boxed{30.264}[/tex]
--------------------------------------------------------------
[tex] \\ [/tex]
[tex]\boxed{\mathfrak \purple{No \: 2 :}}[/tex]
[tex] \\ [/tex]
[tex]\bold\color{hotpink}{ → \: soal :}[/tex]
[tex]\boxed{5! - 2! = ... × 3!}[/tex]
[tex] \\ [/tex]
• 5! - 2!
• = (5 × 4 × 3 × 2 × 1) - 2!
• = (20 × 3 × 2 × 1) - 2!
• = (60 × 2 × 1) - 2!
• = (120 × 1) - 2!
• = 120 - ( 2 × 1 )
• = 120 - 2
• = 118
--------------------
maka,
• = 118 × 3!
• = 118 × ( 3 × 2 × 1 )
• = 118 × ( 6 × 1 )
• = 118 × 6
• = [tex]\boxed{708}[/tex]
[ Koreksi ]
[tex] \\ [/tex]
Kesimpulan :
- Maka,nilai dari 7! × 3! = ... + 4! adalah [tex]\boxed{708}[/tex]
----------------------------------------------------------
[tex] \\ [/tex]
Detail jawaban :
- Mapel : MTK
- Kelas : Xll-12
- materi : Faktorial
- bab : 7
- kode soal : 2
- kode kategorisasi : 12.2.7
- Kata kunci : Nilai dari 7! × 3! = ... + 4! dan 5! - 2! = ... × 3!
----------------------------------------------------------
[tex]\bold\color{hotpink} {\boxed {{\colorbox{black}{⇢ » \:ᥬ♡ཻུ Putri \: ୨୧ \: Pedroza ཻུ࿐}}}}[/tex]
Jawaban:
- 7! × 3! = … + 4!
7! × 3! =
(7 × 6 × 5 × 4 × 3 × 2) × (3 × 2 × 1) =
(42 × 20 × 6) × (6 × 1) =
(840 × 6) × 6 =
5.040 × 6 =
.
.
5.040
6
______(×)
30.240
.
.
7! × 3! = 30.240 + 4! =
30.240 + (4 × 3 × 2 × 1) =
30.240 + (12 × 2) =
30.240 + 24 =
30.240
24
_______(+)
30.264
7! × 3! = 30.240 + 4! = 30.264
.
.
.
.
- 5! - 2! = ... × 3!
5! - 2! =
(5 × 4 × 3 × 2) - (2 × 1) =
(20 × 6) - 2 =
120 - 2 =
118
5! - 2! = 118 × 3! =
118 × (3 × 2 × 1) =
118 × (6 × 1) =
118 × 6 =
708
5! - 2! = 118 × 3! = 708
[tex] \normalsize \rm \color{black}{CMIIW}[/tex]
[tex] \tiny \tt \color{orchid}{by} \color{magenta}{me}[/tex]
[answer.2.content]
