tính hợp lý:-475-(289-323+18)-(-189-152)
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= 215 x ( 200 - 11)
= 215 x 200 - 215 x 11
= 43000 - 2365
= 40635
\(65\left(75+189\right)-75\left(65+189\right)\)
\(=65.75+65.189-75.65-75.189\)
\(=\left(65.75-75.65\right)+\left(65.189-75.189\right)\)
\(=0+\left(65-75\right).189\)
\(=0+\left(-10\right).189\)
\(=-10.189\)
\(=-1890\)
Bài 1:
a. A = 125 . (-61) . (-2)3 . (-1)24
= 125. (-8). (-61) . 124
= 125. 8. 61.1
= 1000. 61 = 61000
b. B = 136. (-47) + 36.47
= (-136).47 + 36.47
= 47. (-136 + 36)
= 47. (-100) = -4700
c. C = (-48).72 + 36.(-304)
= (-96).36 + 36. (-304)
= 36. (-96-304)
= 36. (-400) = -14400
d. D = 87.(13-18) - 13.(87 + 18)
= 87.13 - 87.18 - 13.87 - 13.18
= - 87.18 - 18.13
= - 18.(87+13)
= - 18.100 = -1800
Bài 2:
a. TH1: x - 2 = 0 => x = 2
TH2: 5-x = 0 => x = 5
b. |x| = 56 - 23 = 33 => x = cộng trừ 33
c. 3 - (17-x) = 289 - (36 + 289)
=> 3 - 17 + x = 289 - 289 - 36
=> -14 + x = -36
=> x = -36 - (-14) = -22
1.
a. A = 125 . (-61) . (-2)3 . (-1)24
= 125.(-61).(-8).1
= (-8.125).(-61)
= -1000.(-61)
= 61000
b. B = 136 . (-47) + 36 . 47
=-136.47+36.47
=47(-136+36)
= 47.(-100)
= -4700
2.
a. (x - 2) . (5 - x) = 0
=> x - 2 = 0 hoặc 5 - x = 0
=> x = 2 hoặc x = 5
b. 56 - lxl = 23
=> |x| = 33
=> x = 33 hoặc x = -33
c. 3 - (17 - x) = 289 - (36 + 289)
=> 3 - 17 + x = 289 - 36 - 289
=> -14 + x = -36
=> x = -22
a) 67+135+33=(67+33)+135=100+135=235
b) 277+13+323+87=(277+323)+(113+87)=600+200=800
c) 29+132 + 237 + 868 + 763=29+(132+868)+(237+763)=29+1000+1000=2029
d) 652 + 327 + 148 + 15 + 73=(652+148)+(327+73)+15=800+400+15=1215
e) 463 + 318 + 137 + 22=(463+137)+(318+22)=600+340=940
g) 189 + 424 +511 + 276 + 55=(189+511)+(424+276)+55=700+700+55=1455
h) (321 +27) + 79=(321+79)+27=400+27=427
i) 185+434+515+266+155=(185+515)+(434+266)+155=700+700+155=1555
k) 168 + 79 + 132=(168+132)+79=300+79=379
l) 29 + 132 + 237 + 868 + 763=29+(132+868)+(237+763)=29+1000+1000=2029
A = \(\dfrac{2}{35}\) + \(\dfrac{4}{77}\) + \(\dfrac{2}{143}\) + \(\dfrac{4}{221}\) + \(\dfrac{2}{323}\) + \(\dfrac{4}{437}\) + \(\dfrac{2}{575}\)
A = \(\dfrac{2}{5\times7}\)+\(\dfrac{4}{7\times11}\)+\(\dfrac{2}{11\times13}\)+\(\dfrac{4}{13\times17}\)+\(\dfrac{2}{17\times19}\)+\(\dfrac{4}{19\times23}\)+\(\dfrac{2}{23\times25}\)
A = \(\dfrac{1}{5}\)-\(\dfrac{1}{7}\)+ \(\dfrac{1}{7}\) - \(\dfrac{1}{11}\)+\(\dfrac{1}{11}\)-\(\dfrac{1}{13}\)+\(\dfrac{1}{13}\)-\(\dfrac{1}{17}\)+\(\dfrac{1}{17}\)-\(\dfrac{1}{19}\)+\(\dfrac{1}{19}\)-\(\dfrac{1}{23}\)+\(\dfrac{1}{23}\)-\(\dfrac{1}{25}\)
A = \(\dfrac{1}{5}\) - \(\dfrac{1}{25}\)
A = \(\dfrac{4}{25}\)
a) 152 + (-73) - (-18) - 127 = 152 – 73 +18 -127
= (152 + 18) – (127 + 73) = 170 - 200 = -(200 - 170) = -30
b) 7 + 8 + (-9) + (-10) = (7 + 8) + [(-9) + (-10)]
= 15 + (-19) = -(19 - 15) = -4.
=-475-289+323-18+189+152
=-475-100+323+134
=-475+457-100
=-118