Tính nhanh
a) 43 x 27 + 43 x 13 + 43 x 68
b) 90 x 21 + 15 x10 + 30 x 74
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a. $\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}$
$=(\dfrac{14}{15}+dfrac{1}{15})+(\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{10}{22})$
$=1+1=2$
b. $74\times43-43+27\times43$
$=(74-1+27)\times43$
$=100\times43=4300$
\(a)\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}\)
\(=\left(\dfrac{14}{15}+\dfrac{1}{15}\right)+\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{5}{11}\)
\(=1+1=2\)
\(b)74\times43-43+27\times43\)
\(=43\times\left(74-1+27\right)\)
\(=43\times100=4300\)
a) x-(-25+x)=13-x
⇒ x+25-x=13-x
⇒ 13-x=25
⇒ x= -12
b) 15-(30+x)=x-(27-l-8l)
⇒ 15-30-x=x-(27-8)
⇒ -15-x=x-19
⇒ -x-x=-19+15
⇒ -2x+4=0
⇒ -2x=-4
⇒ x=2
c) (12x-43).83=4.84
⇒ 12x.83-43.83=4.84
⇒ 6144x-32768=16384
⇒ 6144x=49152
⇒ x=8
a: Ta có: \(x-\left(-25+x\right)=13-x\)
\(\Leftrightarrow13-x=25\)
hay x=-12
b: Ta có: \(15-\left(30+x\right)=x-\left(27-\left|-8\right|\right)\)
\(\Leftrightarrow-15-x=x-19\)
\(\Leftrightarrow-2x=-4\)
hay x=2
c: Ta có: \(\left(12x-4^3\right)\cdot8^3=4\cdot8^4\)
\(\Leftrightarrow\left(12x-64\right)\cdot512=16384\)
\(\Leftrightarrow12x-64=32\)
hay x=8
a) \(x+5=20-\left(12-7\right)\)
\(\Rightarrow x+5=20-5\)
\(\Rightarrow x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
b) \(15-\left(3+2x\right)=2^2\)
\(\Rightarrow3+2x=15-4\)
\(\Rightarrow3+2x=11\)
\(\Rightarrow2x=11-3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=\dfrac{8}{2}\)
\(\Rightarrow x=4\)
c) \(-11-\left(19-x\right)=50\)
\(\Rightarrow19-x=-11-50\)
\(\Rightarrow19-x=-61\)
\(\Rightarrow x=61+19\)
\(\Rightarrow x=80\)
d) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
e) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=52-17\)
\(\Rightarrow79-x-43=35\)
\(\Rightarrow36-x=35\)
\(\Rightarrow x=1\)
f) \(\left(7+x\right)-\left(21-13\right)=32\)
\(\Rightarrow7+x-8=32\)
\(\Rightarrow x-1=32\)
\(\Rightarrow x=32+1\)
\(\Rightarrow x=33\)
g) \(-x+20=-15+8+13\)
\(\Rightarrow-x+20=6\)
\(\Rightarrow x=20-6\)
\(\Rightarrow x=14\)
h) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow x-13+142+18=55\)
\(\Rightarrow x+147=55\)
\(\Rightarrow x=55-147\)
\(\Rightarrow x=-92\)
\(2x+1+\frac{1}{6}+1+\frac{1}{12}+..+1+\frac{1}{90}=10\)
=> 2x + 8 + \(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}=10\)
=> 2x + \(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}=10-8\)
\(2x+1-\frac{1}{10}=2\)
=> 2x + \(\frac{9}{10}=2\)
=> 2x = 2 - 9/10
=>2x = 11/10
=> x = 11/10 : 2
x = 11/20
a) ( 15 x 13 - 21 ) : 2 +108
=(195-21):2+108
=174:2+108
=195
b) (548x13+1096)x43:15:86
=(7124+1096)x43:15:86
=8220x43:15:86
=353460:15:86
=274
a,x+(-45)=(-62)+17
<=>x=(-62)+17+45
<=>x=0
b,x+29=\(|-43|\)-+(-43)
<=>x=43-43-29
<=>x=-29
c,43+(9-21)=317-(x+317)
<=>31=317-x-317
<=>31=-x
<=>-31=x
d, (15-x)+(x-12)=7-(-5-x)
<=>15-x+x-12=7+5+x
<=>3=12+x
<=>-9=x
e, x-{57-[42+(-23-x)]}=13-{47+[25-(32-x)]}
<=>x-57+42-23-x=13-47-25+32-x
<=>76=-27-x
<=>103=-x
<=>-103=x
f,\(|x|+|-4|=7\)
<=>\(|x|\)+4=7
<=>\(|x|\)=3
<=>x=3 hoặc x=-3
Tính nhanh
a) 43 x 64 + 43 x 36
= 43 x (64 + 36)
= 43 x 100
= 4300
b) 26 + 27 + 28 + 29 + ... + 33 ( Có 8 số hạng )
= (33 + 26) x 8 : 2 = 236
c) 135 + 36 + 65 + 40
= (135 + 65) + (36 + 40)
= 200 + 76
= 276
d) 463 + 318 + 137 + 22
= (463 + 137) + ( 318 + 22 )
= 600 + 340
= 940
đ ) 20 + 21 + ... + 30 ( có 11 số hạng )
= ( 30 + 20 ) x 11 : 2 = 275
a) 43 x 27 + 43 x 13 + 43 x 68
= 43 x ( 27 + 13 + 68 )
= 43 x 108
= 43 x ( 100 + 8 )
= 43 x 100 + 43 x 8
= 4300 + 344
= 4644
b) 90 x 21 + 15 x 10 + 30 x 74
= 30 x 63 + 30 x 5 + 30 x 74
= 30 x ( 63 + 5 + 74 )
= 30 x 142
= 30 x ( 100 + 42 )
= 30 x 100 + 30 x 42
= 3000 + 1260
= 4260
a, 43x27+43x13+43x68
=43x(27+13+68)
=43x108
= 4644
b, 90x21+15x10+30x74
=9x10x21+15x10+3x10x74
=10x189+10x15+10x222
=10x(189+222+15)
=10x426
= 4260