1
00:00:00,841 --> 00:00:04,724
Miresevini ne prezantimin e mbledhjes se thjeshte.

2
00:00:04,724 --> 00:00:05,690
E di se cfare po mendoni:

3
00:00:05,690 --> 00:00:08,208
Sal, mbledhja nuk eshte aq e thjeshte per mua."

4
00:00:08,208 --> 00:00:09,403
E mire, me falni.

5
00:00:09,419 --> 00:00:10,838
Shpresoj qe une--

6
00:00:10,838 --> 00:00:12,606
Shpresoj, qe ne perfundim te ketij prezantimi,

7
00:00:12,606 --> 00:00:14,942
ose pas dy javesh, do tju duket e thjeshte.

8
00:00:14,942 --> 00:00:16,862
Pra le te fillojme me,

9
00:00:16,862 --> 00:00:18,623
Une mendoj qe mund te themi, me disa problema.

10
00:00:18,623 --> 00:00:22,013
Pra, le te fillojme me nje mbledhje klasike te vjeter.

11
00:00:22,013 --> 00:00:26,192
Nje plus nje

12
00:00:26,192 --> 00:00:28,468
Dhe mendoj qe e dini si ta beni kete mbledhje.

13
00:00:28,468 --> 00:00:30,962
Por une do tju tregoj nje menyre si ta beni kete mbledhje,

14
00:00:30,962 --> 00:00:32,492
neqoftese nuk e mbani mend,

15
00:00:32,492 --> 00:00:34,412
ose nuk e keni pervetesuar akoma.

16
00:00:34,412 --> 00:00:36,595
Ju do te thoni, neqoftese une kam

17
00:00:36,595 --> 00:00:39,199
nje

18
00:00:39,199 --> 00:00:41,099
(le ta quajme kete avokado.)

19
00:00:41,099 --> 00:00:42,771
Neqoftese une kam nje avokado

20
00:00:42,771 --> 00:00:46,765
dhe ti me jep nje avokado tjeter,

21
00:00:46,765 --> 00:00:49,041
sa avokado kam tani?

22
00:00:49,041 --> 00:00:51,548
Pra, le te shohim. Une kam nje... dy avokado.

23
00:00:51,548 --> 00:00:54,940
Keshtuqe nje plus nje jane baraz me dy

24
00:00:54,940 --> 00:00:56,377
Tani, e di se cfare po mendoni:

25
00:00:56,377 --> 00:00:57,850
"Kjo ishte shume e thjeshte."

26
00:00:57,850 --> 00:01:00,030
Pra, le te bejme nje mbledhje pak me te veshtire.

27
00:01:00,030 --> 00:01:03,669
Mua me pelqejne avokadot. Une mund te vazhdoj me kete teme.

28
00:01:03,669 --> 00:01:09,010
Sa bejne tre plus kater?

29
00:01:09,010 --> 00:01:12,214
Hmm. Kjo mendoj eshte probleme pak me e veshtire

30
00:01:12,214 --> 00:01:14,321
Pra, le te vazhdojme me avokadot.

31
00:01:14,321 --> 00:01:16,500
Dhe neqoftese nuk e dini cfare eshte avokadoja,

32
00:01:16,500 --> 00:01:18,964
eshte nje frut shume i shijshem.

33
00:01:18,964 --> 00:01:21,363
Eshte ne fakt fruti me me shume yndyre nga te gjithe frutat.

34
00:01:21,363 --> 00:01:22,415
Ju ndoshta nuk menduat se ishte frut fare--

35
00:01:22,415 --> 00:01:23,994
edhe neqoftese e keni provuar.

36
00:01:23,994 --> 00:01:28,050
Pra, le te themi qe une kam tre avokado.

37
00:01:28,050 --> 00:01:32,418
nje, dy, tre. Sakte? nje, dy, tre.

38
00:01:32,418 --> 00:01:35,561
Dhe le te themi qe ti me jep kater avokado me shume.

39
00:01:35,561 --> 00:01:37,746
Pra po i ve keto te katertat ne ngjyre te verdhe.

40
00:01:37,746 --> 00:01:40,775
qe ti ta dish keto jane ato qe me dhe ti.

41
00:01:40,775 --> 00:01:41,894
nje

42
00:01:41,894 --> 00:01:43,067
dy

43
00:01:43,067 --> 00:01:44,166
tre

44
00:01:44,166 --> 00:01:45,976
kater

45
00:01:45,976 --> 00:01:48,623
Sa avokado kam gjithsel tani?

46
00:01:48,623 --> 00:01:55,500
Kam nje, dy, tre, kater, pese, gjashte, shtate avokado.

47
00:01:55,500 --> 00:01:58,468
Pra tre plus kater bejne shtate.

48
00:01:59,068 --> 00:02:00,252
Tani do tju tregoj

49
00:02:00,252 --> 00:02:01,755
nje menyre tjeter te menduari per kete.

50
00:02:01,755 --> 00:02:03,135
Quhet boshti numerik.

51
00:02:03,166 --> 00:02:05,299
Dhe ne fakt une keshtu e bej mbledhjen ne koke,

52
00:02:05,315 --> 00:02:08,267
kur harroj, neqoftese se mbaj mend.

53
00:02:08,267 --> 00:02:11,657
Pra, ne boshtin numerik une shkruaj te gjithe numrat me rradhe

54
00:02:11,657 --> 00:02:13,610
dhe shruaj numrat deri lart qe une mund--

55
00:02:13,610 --> 00:02:15,766
qe te kem gjithe numrat qe me duhen ne te njejtin bosht.

56
00:02:15,766 --> 00:02:17,364
Pra, ju e dini qe numri i pare eshte zero,

57
00:02:17,364 --> 00:02:18,040
qe tregon asgje.

58
00:02:18,040 --> 00:02:20,083
Ndoshta nuk e dinit: por tani e dini.

59
00:02:20,098 --> 00:02:21,094
Dhe pastaj shkon te

60
00:02:21,094 --> 00:02:22,133
nje

61
00:02:22,133 --> 00:02:23,523
dy

62
00:02:23,523 --> 00:02:25,018
tre

63
00:02:26,203 --> 00:02:27,562
kater

64
00:02:27,562 --> 00:02:29,137
pese

65
00:02:29,137 --> 00:02:30,468
gjashte

66
00:02:30,483 --> 00:02:31,769
shtate

67
00:02:31,785 --> 00:02:33,446
tete

68
00:02:33,446 --> 00:02:34,924
nente

69
00:02:34,924 --> 00:02:36,363
dhjete

70
00:02:36,363 --> 00:02:37,346
pastaj vazhdon

71
00:02:37,346 --> 00:02:37,952
njembedhjete

72
00:02:37,952 --> 00:02:41,750
Pra, ne po thonim tre plys kater. Le te fillojme te treshi.

73
00:02:41,750 --> 00:02:43,701
Pra une kam tre.

74
00:02:43,701 --> 00:02:45,654
dhe ne do ti shtojme kater, treshit.

75
00:02:45,654 --> 00:02:48,259
Pra, ne cfare bejme vashdojme gjate boshtit numerik,

76
00:02:48,275 --> 00:02:51,088
ose shtojme ne anen e dhjathte te boshtit numerik, kater.

77
00:02:51,088 --> 00:02:59,162
Pra, nje, dy, tre, kater

78
00:02:59,162 --> 00:02:59,960
E shihni, gjithcka kemi bere

79
00:02:59,960 --> 00:03:02,713
kemi rritur numrin fillestar me nje, me dy, me tre, me kater.

80
00:03:02,713 --> 00:03:04,254
Dhe perfunduam te numri shtate.

81
00:03:04,269 --> 00:03:06,106
Dhe kjo ishte pergjigjja jone.

82
00:03:06,106 --> 00:03:07,148
Ne mund te bejme ca problema te ndryshme.

83
00:03:07,148 --> 00:03:09,762
Mund te themi, sa bejne--

84
00:03:09,762 --> 00:03:12,655
Po neqoftese ju pyes sa bejne tet plus nje?

85
00:03:12,655 --> 00:03:14,185
Hmmm. tet plus nje.

86
00:03:14,185 --> 00:03:15,315
E mire, ju edhe mund ta dini.

87
00:03:15,315 --> 00:03:16,438
tete plus nje eshte baraz me numrin qe vjen pas tetes.

88
00:03:16,438 --> 00:03:20,056
Po neqoftese shohim ne boshtin numerik, fillojme te teta,

89
00:03:20,056 --> 00:03:22,451
dhe i shtojme nje.

90
00:03:22,451 --> 00:03:24,661
tete plus nje eshte baraz me nente.

91
00:03:25,553 --> 00:03:28,400
Le te bejme ca problema me te veshtira.

92
00:03:30,246 --> 00:03:31,427
Dhe, vetem qe ta dini,

93
00:03:31,427 --> 00:03:33,518
neqoftese ju duket e veshtire kjo ne fillim,

94
00:03:33,518 --> 00:03:34,498
ju gjithmone mund te vizatoni rrathet.

95
00:03:34,498 --> 00:03:36,110
ju mund te perdorni boshtin numerik

96
00:03:36,110 --> 00:03:39,062
dhe me kalomin e kohes, sa me shume praktike te beni,

97
00:03:39,062 --> 00:03:40,717
ju do i mbani mend permendesh keto,

98
00:03:40,717 --> 00:03:42,446
dhe do i beni keto problema ne me pak se gjysem sekonde.

99
00:03:42,446 --> 00:03:45,438
Ju premtoj. Ju vetem duhet te praktikoni sa me shume.

100
00:03:45,438 --> 00:03:46,769
le te themi....

101
00:03:46,769 --> 00:03:47,679
Une dua te vizatoj boshtin numerik prape.

102
00:03:47,679 --> 00:03:48,947
Ne fakt, kam nje mjet qe ben viza;

103
00:03:48,947 --> 00:03:50,773
qe mos te shikoni vizat e shtremera

104
00:03:50,773 --> 00:03:52,091
qe ju kam bere deri tani.

105
00:03:52,168 --> 00:03:54,866
Shikoni. Shikoni. Kjo eshte mahnitese.

106
00:03:54,866 --> 00:03:55,644
Ne rregull, prit ta shoh.

107
00:03:55,644 --> 00:03:57,967
Oh. Oh. Po po, shikoni kete.

108
00:03:57,967 --> 00:04:01,133
Ne rregull. Tani ky po qe eshte bosht numerik i drejte.

109
00:04:01,133 --> 00:04:04,602
Do me vije keq ta fshij me vone.

110
00:04:04,602 --> 00:04:06,852
Pra do vendos numrat me rradhe

111
00:04:06,852 --> 00:04:07,844
zero

112
00:04:07,844 --> 00:04:08,975
nje

113
00:04:08,990 --> 00:04:10,167
dy

114
00:04:10,167 --> 00:04:11,221
tre

115
00:04:11,221 --> 00:04:12,490
kater

116
00:04:12,490 --> 00:04:13,631
pese

117
00:04:13,631 --> 00:04:15,346
gjashte

118
00:04:15,346 --> 00:04:16,601
shtate

119
00:04:16,601 --> 00:04:17,852
tete

120
00:04:17,852 --> 00:04:19,365
nente

121
00:04:19,365 --> 00:04:21,146
dhjete

122
00:04:21,162 --> 00:04:22,408
njembedhjete

123
00:04:22,408 --> 00:04:23,659
dymbedhjete

124
00:04:23,659 --> 00:04:24,898
trembedhjete

125
00:04:24,898 --> 00:04:26,230
katermbedhjete

126
00:04:26,230 --> 00:04:28,582
pesembedhjete

127
00:04:28,582 --> 00:04:30,905
Pra le te bejme nje probleme te veshtire.

128
00:04:30,905 --> 00:04:33,224
Sa bejne--

129
00:04:33,224 --> 00:04:35,400
Do ta bej me ngjyra te ndryshme kete.

130
00:04:35,400 --> 00:04:38,825
pese plus gjashte

131
00:04:38,825 --> 00:04:40,685
Pra po te doni, mund ta ndaloni vidjon dhe ta provoni ta zgjidhni vete.

132
00:04:40,685 --> 00:04:42,202
You ndoshta e dini pergjigjjen.

133
00:04:42,202 --> 00:04:44,802
Dhe e vetmja arsye pse them qe eshte ushtrim e veshtire

134
00:04:44,802 --> 00:04:47,300
eshte sepse pergjigjja eshte me e madhe

135
00:04:47,300 --> 00:04:48,592
sesa gishta keni ne dy duar.

136
00:04:48,592 --> 00:04:50,948
Pra, ju nuk mund ta beni me numerim gishtash.

137
00:04:50,948 --> 00:04:54,218
Pra le te fillojme ta zgjidhim kete ushtrim.

138
00:04:54,218 --> 00:04:55,230
ne fact, po me bie telefoni.

139
00:04:55,230 --> 00:04:56,579
Por nuk do ti pergjigjem telefonit

140
00:04:56,579 --> 00:04:58,172
sepse ju jeni me te rendesishem.

141
00:04:58,172 --> 00:05:01,201
Pra. ne rregull. Le te fillojme te pesa.

142
00:05:01,201 --> 00:05:03,829
Pra fillojme te pesa.

143
00:05:03,829 --> 00:05:05,577
dhe do te shtojme gjashte

144
00:05:05,577 --> 00:05:07,590
keshtuqe themi: nje

145
00:05:07,590 --> 00:05:08,610
dy

146
00:05:08,610 --> 00:05:09,864
tre

147
00:05:09,864 --> 00:05:11,100
kater

148
00:05:11,100 --> 00:05:12,500
pese

149
00:05:12,500 --> 00:05:14,259
gjashte

150
00:05:14,259 --> 00:05:16,674
dhe kemi arritur tek njembedhjeta

151
00:05:16,674 --> 00:05:19,307
Pra pese plus gjashte bejne njembedhjete.

152
00:05:19,307 --> 00:05:21,197
Tani do ju bej nje pyetje.

153
00:05:21,197 --> 00:05:24,500
Sa bejne gjashte plus pese?

154
00:05:24,500 --> 00:05:25,869
Ehh

155
00:05:25,869 --> 00:05:28,659
Pra le te shohim sa bejne, ne rregull?

156
00:05:28,659 --> 00:05:29,977
Mund ti ndryshoni vend dy numrave

157
00:05:29,977 --> 00:05:31,105
dhe te merrni te njejten pergjigjje

158
00:05:31,105 --> 00:05:32,159
Pra, le ta provojme.

159
00:05:32,159 --> 00:05:33,564
Do e provoj me ngjyre tjeter tani,

160
00:05:33,564 --> 00:05:34,599
qe te mos ngaterrohemi.

161
00:05:34,599 --> 00:05:36,254
Pra le te fillojme tek gjashta

162
00:05:36,254 --> 00:05:39,987
Ne rregull? Harrojeni vijen e verdhe per tani dhe shtoni pese.

163
00:05:39,987 --> 00:05:44,854
nje.. dy.. tre.. kater.. pese.

164
00:05:44,854 --> 00:05:47,017
E shihni arritem ne te njejtin numer.

165
00:05:47,017 --> 00:05:48,538
Dhe kam mendimin qe duhet ta provoni kete

166
00:05:48,538 --> 00:05:49,185
ne ushtrime te ndryshme.

167
00:05:49,185 --> 00:05:50,777
Dhe do ta shihni qe pergjigjja eshte gjithmone njesoj--

168
00:05:50,777 --> 00:05:53,300
dhe ska rendesi ne cfare rradhe

169
00:05:53,300 --> 00:05:56,069
pese plus gjashte apo gjashte plus pese

170
00:05:56,069 --> 00:05:57,180
Dhe kuptohet qe eshte llogjike.

171
00:05:57,180 --> 00:05:59,005
neqoftese kam pese avokado dhe ti me jep gjashte

172
00:05:59,005 --> 00:06:00,031
Une do kem njembedhjete

173
00:06:00,031 --> 00:06:01,785
Neqoftese une kam gjashte avokado dhe ti me jep pese

174
00:06:01,785 --> 00:06:04,238
Une do kem njembedhjete gjithsesi.

175
00:06:04,238 --> 00:06:05,527
Le te bejme dy---

176
00:06:05,527 --> 00:06:06,570
meqe ky bosht numerik eshte shume i drejte

177
00:06:06,570 --> 00:06:08,088
une dua te bejme disa ushtrime ne te.

178
00:06:08,088 --> 00:06:09,174
megjithese keshtu si po e perdor

179
00:06:09,174 --> 00:06:11,214
ma do mendja do vashdoj tju ngaterroj,

180
00:06:11,214 --> 00:06:13,256
sepse do bej vija mbi vija ne bosht. Por,

181
00:06:13,256 --> 00:06:16,015
le te shohim, do perdor gjyren e bardhe tani.

182
00:06:16,015 --> 00:06:22,507
sa bejne-- sa bejne tete plus shtate?

183
00:06:22,507 --> 00:06:26,631
E mire, neqoftese akoma mund ta lexoni teta eshte mu ketu.

184
00:06:26,631 --> 00:06:28,900
ne rregull? ne do ti shtojme edhe shtate.

185
00:06:28,900 --> 00:06:36,600
nje.. dy..tre.. kater..pese..gjashte..shtate.

186
00:06:36,600 --> 00:06:39,007
dhe arrijme tek pesembedhjeta

187
00:06:39,007 --> 00:06:42,465
tete plus shtate baraz me pesembedhjete.

188
00:06:42,465 --> 00:06:44,877
Shpresoj qe tani ta keni nje ide

189
00:06:44,877 --> 00:06:46,400
se si ti zgjidhni keto ushtrime.

190
00:06:46,400 --> 00:06:48,903
Por edhe me shume, se sa kaq--

191
00:06:48,903 --> 00:06:51,200
sepse ju do mesoni shumezimin edhe pak.

192
00:06:51,200 --> 00:06:53,673
Keto lloj ushtrimesh

193
00:06:53,673 --> 00:06:55,424
kur sapo keni filluar te mesoni matematike,

194
00:06:55,424 --> 00:06:56,931
keto duan sa me shume praktike.

195
00:06:56,931 --> 00:06:59,417
dhe ne nje fare menyre duhet to mbani mend permendesh.

196
00:06:59,417 --> 00:07:02,300
Por me kalimin e kohes, do kujtoni te kaluaren,

197
00:07:02,300 --> 00:07:03,937
dhe dua qe ta mbani mend se si ndiheshit

198
00:07:03,937 --> 00:07:05,777
kur po shikonit kete vidjo tani.

199
00:07:05,777 --> 00:07:09,616
Dhe pastaj dua ta shihni kete vidjo pas tre vjetesh

200
00:07:09,616 --> 00:07:12,309
dhe mbani mend si ndiheshit kur po shihnit kete vidjo.

201
00:07:12,309 --> 00:07:14,120
dhe do thoni: " Ua sa te lehta qe ishin"

202
00:07:14,120 --> 00:07:16,177
sepse do i mesoni shume shpejt

203
00:07:16,177 --> 00:07:19,615
Pra e keni parasysh

204
00:07:19,615 --> 00:07:21,377
kur nuk e dini pergjigjjen

205
00:07:21,377 --> 00:07:22,625
per cfaredo mbledhje

206
00:07:22,625 --> 00:07:23,869
qe ju japim ne ushtrim

207
00:07:23,869 --> 00:07:26,438
mund te shtypni "hints" dhe do te vizatoje rrathe

208
00:07:26,438 --> 00:07:28,582
dhe ju duhet thjesht te numeroni rrathet.

209
00:07:28,582 --> 00:07:29,763
ose neqoftese doni ti beni vete

210
00:07:29,763 --> 00:07:31,208
qe te gjeni pergjigjjen e duhur

211
00:07:31,208 --> 00:07:32,584
mund te vizatoni vete rrathet,

212
00:07:32,584 --> 00:07:34,215
ose boshtin numerik,--

213
00:07:34,215 --> 00:07:36,805
sic e beme ne kete prezantim.

214
00:07:36,805 --> 00:07:40,405
Tani mendoj se jeni gati te beni ushtimet me mbledhje.

215
00:07:40,754 --> 00:07:42,377
kalofshi mire!