01. Calcule:
d) 5 . 3!
e) 4! . 2!
f) 6! . 5!
g) 2! . 4 . 7!
02. Calcule:
a) 6!
b) 2! + 1!
c) 7! – 5!
Soluções para a tarefa
Explicação passo-a-passo:
1)
d)
• 3! = 3 x 2 x 1
3! = 6
Assim:
5 . 3! = 5 x 6
5 . 3! = 30
e)
• 4! = 4 x 3 x 2 x 1
4! = 12 x 2
4! = 24
• 2! = 2 x 1
2! = 2
Assim:
4! . 2! = 24 x 2
4! . 2! = 48
f)
• 6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 30 x 12 x 2
6! = 360 x 2
6! = 720
• 5! = 5 x 4 x 3 x 2 x 1
5! = 20 x 6
5! = 120
Assim:
6! . 5! = 720 x 120
6! . 5! = 86400
g)
• 2! = 2 x 1
2! = 2
• 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 42 x 20 x 6
7! = 840 x 6
7! = 5040
Assim:
2! . 4 . 7! = 2 x 4 x 5040
2! . 4 . 7 = 8 x 5040
2! . 4 . 7! = 40320
2)
a)
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 30 x 12 x 2
6! = 360 x 2
6! = 720
b)
• 2! = 2 x 1
2! = 2
• 1! = 1
Assim:
2! + 1! = 2 + 1
2! + 1! = 3
c)
• 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 42 x 20 x 6
7! = 840 x 6
7! = 5040
• 5! = 5 x 4 x 3 x 2 x 1
5! = 20 x 6
5! = 120
Assim:
7! - 5! = 5040 - 120
7! - 5! = 4920