Răspuns:
1) c) 25
5² = 5•5 = 25
2) c) 15 si 7
217:14 = 15 rest 7
77-7 = 7 rest
3) d)43
1•2^0+1•2+0•2²+1•2³+0•2⁴+1•2^5 = 1•1+2+8+32 = 3+40 = 43
4) 19:2 = 9 rest 1
9:2 = 4 rest 1
4:2 = 2 rest 0
2:2 = 1 rest 0
1:2 = 0 rest 1. a)10011
5) 15^26:15^25 = 15^(26-25) = 15¹ = 15 d)15
6) 2³⁴•2^15 = 2ⁿ
n = 34+15 = 49 sau 2^49 a)2^49
7) a:5 = 3 rest 0 a = 15
a:5 = 3 rest 1 a = 15+1 = 16
a:5 = 3 rest 2 a = 15+2 = 17
a:5 = 3 rest 3 a = 15+3 = 18
a:5 = 3 rest 4 a = 15+4 = 19
d) 5 numere
8) 10² = 100
11² = 121
100<114<121 b) 100 si 121
9) 3²⁴<3⁴² Adevarat 24<42
5^10•5⁴ = 5^40 Fals
5^10•5⁴ = 5^10+4 = 5¹⁴
123 este patratul unui nr natural Fals
nu este
10) 1) = 2(14-2) = 2•12 = 24 b)
2) = 2•12•9-8 = 216-8 = 208 a)
3) = 28-2•1 = 28-2 = 26 d)
11)Ultima cifra:
u(6^2017) = 6 € N
u(125^2018) = 5
u(2021^2019) = 1
12)
a = 42 ; b = 0; c = 228 ; d = 8
1. 546:13 = 42 rest 0 a = 42 b=0
2. 8•27 = 216
216+12 = 228
c = 228
3. 129:î = 8 rest 1
129:16 = 8
d = 8
13)
a+b = 53
a:2•b = 4 rest 8
a = 8•b+8
8•b+8+b = 53
9•b = 53-8
9•b = 45
b = 45:9 = 5
a = 53-5 = 48
a+b = 48+5 = 53
14) 10² = 6²+8²
100 = 36+64
10²² = 10²•10^20 = 100•(10^10)² = (36+64)•(10^10)² =
= (6²+8²)•(10^10)² = (6•10^10)²+(8•10^10)²
rezolvarea la toate exercitiile :1,2,3,4,5,6,7,8,9,10,11,12,13,14.
am editat...
==EVERGREEN==
