Question

Q.


1). 5! - 4! × 6! = ...

2). 7! + 6! - 3! = ...


Rules :
• Dahulukan perkalian.​

Answer 1

Jawaban:

5! - 4! × 6!

= 5.4.3.2.1 - 4.3.2.1 × 6.5.4.3.2.1

= 120 - 24 × 720

= 120 - 17.280

= -17.160

------

7! + 6! - 3!

= 7.6.5.4.3.2.1 + 6.5.4.3.2.1 - 3.2.1

= 5.040 + 720 - 6

= 5.760 - 6

= 5.754

DETAIL JAWABAN

• Mapel : MTK
• materi : faktorial
• kata kunci : hasil dari 5! - 4! × 6! dan 7! + 6! - 3!
• kelas : 12
• kode soal : 2
• bab : 3
• kode kategorisasi : 12.2.3

[[ SN ]]

Answer 2

Soal

• 5! - 4! × 6!
• 7! + 6! - 3!

__________________________

Penyelesaian

• 5! - 4! × 6!
• = ( 5 × 4 × 3 × 2 × 1 ) - ( 4 × 3 × 2 × 1 ) × ( 6 × 5 × 4 × 3 × 2 × 1 )
• = ( 20 × 3 × 2 × 1 ) - ( 12 × 2 × 1 ) × ( 30 × 4 × 3 × 2 × 1 )
• = ( 60 × 2 × 1 ) - ( 24 × 1 ) × ( 120 × 3 × 2 × 1 )
• = ( 120 × 1 ) - 24 × ( 360 × 2 × 1 )
• = 120 - 24 × ( 720 × 1 )
• = 120 - 24 × 720
• = 120 - 17.280
• ≈ -17.160 ☑

==============================

• 7! + 6! - 3!
• = ( 7 × 6 × 5 × 4 × 3 × 2 × 1 ) + ( 6 × 5 × 4 × 3 × 2 × 1 ) - ( 3 × 2× 1 )
• = ( 42 × 5 × 4 × 3 × 2 × 1 ) + ( 30 × 4 × 3 × 2 × 1 ) - ( 6 × 1 )
• = ( 210 × 4 × 3 × 2 × 1 ) + ( 120 × 3 × 2 × 1 ) - 6
• = ( 840 × 3 × 2 × 1 ) + ( 360 × 2 × 1 ) - 6
• = ( 2.520 × 2 × 1 ) + ( 720 × 1 ) - 6
• = ( 5.040 × 1 ) + 720 - 6
• = 5.040 + 720 - 6
• = 5.760 - 6
• ≈ 5.754 ☑

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Dadah-!