x+400=7^2
Tính nhẩm.
a) 300 x 3 400 x 2 200 x 4 500 x 2
b) 800 : 4 700 : 7 600 : 3 400 : 2
a) 300 x 3 = ? Nhẩm: 3 trăm x 3 = 9 trăm 300 x 3 = 900 | 400 x 2 = ? Nhẩm: 4 trăm x 2 = 8 trăm 400 x 2 = 800 |
200 x 4 = ? Nhẩm: 2 trăm x 4 = 8 trăm 200 x 4 = 800 | 500 x 2 = ? Nhẩm: 5 trăm x 2 = 1 nghìn 500 x 2 = 1000 |
b) 800 : 4 = ? Nhẩm: 8 trăm : 4 = 2 trăm 800 : 4 = 200 | 700 : 7 = ? Nhẩm: 7 trăm : 7 = 1 trăm 700 : 7 = 100 |
600 : 3 = ? Nhẩm: 6 trăm : 3 = 2 trăm 600 : 3 = 200 | 400 : 2 = ? Nhẩm: 4 trăm : 2 = 2 trăm 400 : 2 = 200 |
4 x 25 - 12 x 5 + 170 : 10
( 7 + 3 mũ 3 : 3 mũ 2 ) x 4 - 3
12 : {400 :[ 500 - ( 125 + 25 x 7 )]}
168 + { [ 2 x (2 mũ 4 + 3 mũ 2 ) - 256 mũ 0 ] : 7 mũ 2
a) 4.25-12.5+170:10
=100-60+17
=40+17
=57
b) (7+33:32).4-3
=(7+3).4-3
=10.4-3
=40-3
=37
c) 12:{400:[500-(125+25.7)]}
=12:{400:[500-(125+175)]}
=12:{400:[500-300]}
=12:{400:200}
=12:2
=6
d) 168+{[2.(24+32)-2560]:72}
=168+{[2.(16+9)-1]:49}
=168+{[2.25-1]:49}
=168+{[50-1]:49}
=168+{49:49}
=168+1
=169
Phần II. Tự luận (7 điểm)
Tìm x a) 200 : x + 400 : x = 2
-1 + 3 - 5 + 7 -.......+ x = 200
2 - 4 + 6 - 8 +........- x = - 400
( x - 1) ϵ BC ( 4,5,6) và x < 400
( x - 1) ϵ BC ( 4,5,6) và ⋮ 7; x ≤ 400
1) \(\left(x-1\right)\in BC\left(4;5;6\right)\&x< 400\left(1\right)\)
\(BCNN\left(4;5;6\right)=60\)
\(\Rightarrow BC\left(4;5;6\right)=\left\{60;120;180;240;300;360;420...\right\}\)
\(\left(1\right)\Rightarrow x-1\in\left\{59;119;179;239;299;359\right\}\left(2\right)\)
b) \(\left(x-1\right)\in BC\left(4;5;6\right),⋮7\&x< 400\left(3\right)\)
\(\left(2\right);\left(3\right)\Rightarrow x-1\in\left\{119\right\}\)
7.4 mũ x =112
2 . 5 mũ x - 3 =250
12:{400:[500-(5 MŨ 3 + 5 mũ 2 .7)}+10
\(7\cdot4^x=112\)
\(\Rightarrow4^x=\dfrac{112}{7}\)
\(\Rightarrow4^x=16\)
\(\Rightarrow4^x=4^2\)
\(\Rightarrow x=2\)
_____
\(2\cdot5^{x-3}=250\)
\(\Rightarrow5^{x-3}=\dfrac{250}{2}\)
\(\Rightarrow5^{x-3}=125\)
\(\Rightarrow5^{x-3}=5^3\)
\(\Rightarrow x-3=3\)
\(\Rightarrow x=3+3\)
\(\Rightarrow x=6\)
____
\(12:\left\{400:\left[500-\left(5^3+5^2\cdot7\right)\right]\right\}+10\)
\(=12:\left\{400:\left[500-\left(125+25\cdot7\right)\right]\right\}+10\)
\(=12:\left\{400:\left[500-\left(125+175\right)\right]\right\}+10\)
\(=12:\left[400:\left(500-300\right)\right]+10\)
\(=12:\left(400:200\right)+10\)
\(=12:2+10\)
\(=6+10\)
\(=16\)
\(7\cdot4^x=112\)
\(\Rightarrow4^x=112:7\)
\(\Rightarrow4^x=16\)
\(\Rightarrow4^x=4^2\)
\(\Rightarrow x=2\)
Vậy \(x=2.\)
\(---\)
\(2\cdot5^{x-3}=250\)
\(\Rightarrow5^{x-3}=250:2\)
\(\Rightarrow5^{x-3}=125\)
\(\Rightarrow5^{x-3}=5^3\)
\(\Rightarrow x-3=3\)
\(\Rightarrow x=3+3\)
\(\Rightarrow x=6\)
Vậy \(x=6.\)
\(---\)
\(12:\left\{400:\left[500-\left(5^3+5^2\cdot7\right)\right]\right\}+10\)
\(=12:\left\{400:\left[500-\left(125+175\right)\right]\right\}+10\)
\(=12:\left\{400:\left[500-300\right]\right\}+10\)
\(=12:\left\{400:200\right\}+10\)
\(=12:2+10\)
\(=6+10\)
\(=16\)
#\(Toru\)
150:x ;84:x ;30:x và x< 16
x:15; x:14; x:20 và 400<=x<=1200
9:(x+1)
(2x+7):(x-2)
Câu 1:
$150\vdots x; 84\vdots x, 30\vdots x$
$\Rightarrow x=ƯC(150,84,30)$
$\Rightarrow ƯCLN(150,84,30)\vdots x$
$\Rightarrow 6\vdots x$. Kết hợp với điều kiện $x<16$ suy ra:
$x\in \left\{1; -1; 2; -2; 3;-3;6;-6\right\}$
Câu 2:
$x\vdots 15; x\vdots 14; x\vdots 20$
$\Rightarrow x=BC(15,14,20)$
$\Rightarrow x\vdots BCNN(15,14,20)$
$\Rightarrow x\vdots 420$
$\Rightarrow x=420k$ với $k$ là số tự nhiên.
Mà $400\leq x\leq 1200$
$\Rightarrow 400\leq 420k\leq 1200$
$\Rightarrow 0< k< 3$
Mà $k$ là stn nên $k=1$ hoặc $k=2$
$\Rightarrow x=420.1=420$ hoặc $x=420.2=840$
Câu 3:
$9\vdots x+1$
$\Rightarrow x+1\in Ư(9)$
$\Rightarrow x+1\in \left\{1; -1; 3; -3; 9;-9\right\}$
$\Rightarrow x\in \left\{0; -2; 2; -4; 8; -10\right\}$
150:x ;84:x ;30:x và x< 16
x:15; x:14; x:20 và 400<=x<=1200
9:(x+1)
(2x+7):(x-2)
Tính nhẩm
a) 2 x 6 = ...... 3 x 7 = ......
12 : 2 = ...... 21 : 3 = ......
12 : 6 = ...... 21 : 7 = ......
4 x 8 = ...... 5 x 9 = ......
32 : 4 = ...... 45 : 5 = ......
32 : 8 = ...... 45 : 9 = ......
b) 600 : 3 = ...... 800 : 4 = ...... 400 : 2 = ......
600 : 2 = ...... 800 : 2 = ...... 500 : 5 = ......
) 2 x 6 = 12 3 x 7 = 21
12 : 2 = 6 21 : 3 = 7
12 : 6 = 2 21 : 7 = 3
4 x 8 = 32 5 x 9 = 45
32 : 4 = 8 45 : 5 = 9
32 : 8 = 4 45 : 9 = 5
b) 600 : 3 = 200 800 : 4 = 200 400 : 2 = 200
600 : 2 = 300 800 : 2 = 400 500 : 5 = 100
a) 2x6=12 3x7=21
12:2=6 21:3=7
12:6=2 21:7=3
4x8=32 5x9=45
32:4=8 45:5=9
32:8=4 45:9=5
b) 600:3=200 800:4=200 400:2=200
600:2=300 800:2=400 500:5=100
A Legend Never Dies
Tính nhẩm
a)2×6=12 3×7=21
12:2=6 21:3=7
12: 6=2 21:7=3
4×8=32 5×8=45
32:4=8 45:5=9
32:8=4 45:9=5
b)600:3=200 800:4=200 400:2=200
600:2=300 800:2=400 500:5=100