Bài 1: Tính nhanh
A, 1968 x 15 + 1968 x 84 + 1968
B, 6412 + 5378 + 3582 + 4628
C, 178 x 101 - 178
D, 153 x 8 + 153 + 153
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a: \(1968\cdot15+1968\cdot84+1968\)
\(=1968\left(15+84+1\right)\)
\(=1968\cdot100=196800\)
b: \(6412+5378+3582+4628\)
\(=\left(6412+4628\right)+\left(5378+3582\right)\)
\(=11040+8960=20000\)
c: \(178\cdot101-178\)
\(=178\cdot101-178\cdot1\)
\(=178\left(101-1\right)=178\cdot100=17800\)
d: \(153\cdot8+153+153\)
\(=153\left(8+1+1\right)\)
\(=153\cdot10=1530\)
\(a,67\times153-53\times67+712:8\)
\(=67\times\left(153-53\right)+\left(712:8\right)\)
\(=67\times100+89\)
\(=6700+89\)
\(=6789\)
\(b,168-\left\{5\times\left[143-\left(15-12\right)^2\right]+10\right\}:10\)
\(=168-\left\{5\times\left[143-3^2\right]+10\right\}:10\)
\(=168-\left\{5\times134+10\right\}:10\)
\(=168-\left\{670+10\right\}:10\)
\(=168-680:10\)
\(=168-68\)
\(=100\)
\(c,\left(-13\right)+84+\left(-87\right)+16\)
\(=13+84-87+16\)
\(=\left(13+87\right)-\left(84+16\right)\)
\(=100-100\)
\(=0\)
\(d,9-\left(12-15\right)\)
\(=9-\left(-3\right)\)
\(=12\)
a, (x-3418)+1968=1968+2582
x-3418 =1968+2582-1968
x-3418 =2582
x =2582+3418
x =6000
b,12346+(x+975)=3957+3975
12346+(x+975)=7932
x+975=12346-7932
x+975=4414
x =4414-975
x =3439
Bài 1 : Tìm x
96-x.(x+1)=42
x(x+1)=138
2x+x=138
3x=138
x=46
Bài 2 : Tính Nhanh
a,19.27+47.81+19.20
=19.(27+20)+47.81
=19.47+47.81
=47(19+81)
=47.100
=4700
b,87.23+13.93+70.87
=87.(23+70)+13.93
=87.93+13.93
=93.(87+13)
=93.100
=9300
Bài 3: Tính Tổng
a,1+4+7+...+79
=(79+1).27:2
=80.27:2
=2160:2
=1080
b,15+17+19+21+...+151+153+155
=(155+15).71:2
=160.71:2
=11360:2
=5680
c,15+25+35+...+115
=130.11:2
=1430:2
=715
d,24+25+28+...+125+126
=150.103:2
=7725
B1:
\(a.301^2=\left(300+1\right)^2=300^2+2.300.1+1^2\\ =90000+600+1=90601\\ b.88^2+2.88.12+12^2=\left(88+12\right)^2=100^2=10000\\ c.99.100=100^2-100=10000-100=9900\\ d,153^2+94.153+47^2=153^2+2.153.47+47^2=\left(153+47\right)^2=200^2=40000\)
B2:
\(A=x^2-20x+101\\ =x^2-2.x.10+10^2+1\\ =\left(x-10\right)^2+1\ge1\forall x\in R\left(Vì:\left(x-10\right)^2\ge0\forall x\in R\right)\\ \Rightarrow min_A=1\Leftrightarrow x-10=0\Leftrightarrow x=10\)
(-33)+45+(-67)
=[(-33)+(-67)]+45
=(-100)+45
=55
mấy câu sau mỏi tay nên ghi đáp án thoi
c=3
2a x=10
Bài 1:
a, (-33) + 45 + (-67)
= - (33 + 67) + 45
= - 100 + 45
= - 55
c, 75 : [ (153 - 6.52).8 + 20110 ]
= 75 : [ 153 - 312].8 + 1]
= 75 : [ - 159.8 + 1]
= 75 : [-1272 + 1]
= 75 : (-1271)
= - \(\dfrac{75}{1271}\)
Bài 2
6\(x\) + 15 = 75
6\(x\) = 75 - 15
6\(x\) = 60
\(x\) = 60 : 6
\(x\) = 10
a) 1968 x 15 + 1968 x 84 + 1968
= 1968 x 15 + 1968 x 84 + 1968 x 1
= 1968 x (15 + 84 + 1)
= 1968 x 100 = 196800
b) 6412 + 5378 + 3582 + 4628
= (6412 + 5378) + (3582 + 4628)
= 11790 + 8210
= 20000
c) 178 x 101 - 178
= 178 x 101 - 178 x 1
= 178 x (101 - 1)
= 178 x 100
= 17800
d) 153 x 8 + 153 + 153
= 153 x 8 + 153 x 1 + 153 x 1
= 153 x (8 + 1 + 1)
= 153 x 10
= 1530