Matematika Q.1. 7! × 3! = ... + 4!2. 5! - 2! = ... × 3!Note : Hai :D​

catalinalefflerulv – June 09, 2023

Q.


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]

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