bài 1: tính nhanh
a. 30 x 1235 x 4 - 8 x 235 x 15
b. ( 120 x 99 + 120 ) - 185 x 101 - 185
4. Tỉnh nhanh:
a. 8 * 427 * 3 + 6 * 573 * 4
d. (137 * 99 + 137) - (17 * 101 - 17)
b. 54 * 47 - 47 * 53 - 20 - 27
c. 6 * 1235 * 20 - 5 * 235 * 24
e. (145 * 99 + 145) - (143 * 101 - 143)
g. (2003-123 8:4) x (36:6-6)
Tìm x :
a) x . ( x - 2 ) = 0
b) ( x - 1 ) . ( x - 3 ) = 2
Tính nhanh ( nếu có )
a) 15 . 37 .4 + 120 . 21 + 21 . 5 . 12
b) 19 + 19 . 99 - 25 . 8
c) 27 + 73 - 30 : ( 25 - 10 )
d) 15 - 25 . 8 : ( 25 - 10 )
\(x\left(x-2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-2=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
trình bày bài này bằng công thức gọn lại như thế nào:
185 x 99 + 15 x 49 + 185 x 1 + 15 x 51
185 x 99 + 15 x 49 + 185 x 1 + 15 x 51 =
185 x ( 99 + 1 ) + 15 x (51 + 49) =
185 x 100 + 15 x 100 =
100 x (185 + 15) =
100 x 200 = 20 000
=185x(99+1)+15x(49+51)
=185x100+15x100
=(185+15)x100
=200x100
=20000
185 x 99 + 15 x 49 + 185 x 1 + 15 x 51 =
185 x ( 99 + 1 ) + 15 x (51 + 49) =
185 x 100 + 15 x 100 =
100 x (185 + 15) =
100 x 200 = 20 000
Bài 1:Tìm x,biết:
a)76-6(x-1)=10
b)3.4^x-7=185
c)5x+14 chia hết cho x+2
Bài 2:Cho D=6+6^2+6^3+6^4+...+6^120.Chứng minh D chia hết cho 7
\(a,76-6\left(x-1\right)=10\)
\(76-6x-6=10\)
\(70-6x=10\)
\(6x=60\)
\(x=10\)
\(b,3.4^x-7=185\)
\(3.4^x=192\)
\(4^x=64\)
\(4^x=4^3\)
\(\Rightarrow x=3\)
Bài 1:Tìm x,biết:
a) 76 - 6( x - 1 ) = 10
=> 6( x - 1 ) = 76 - 10
=> 6( x - 1 ) = 66
=> x - 1 = 11
=> x = 12
b)3.4^x-7=185
=> 3.4^x = 185 + 7
=> 3.4^x = 192
=> 4^x = 64
=> 4^x = 4^3
=> x = 3
you sai câu a) rồ ạ
120 x 185/74
185/74 là phân số
TL:
\(120.\frac{185}{74}\)
\(=\frac{22200}{74}=300\)
Bài 3 : Tính nhanh :
a ) A = 2 + 4 + 6 + 8 + ....+ 1000
b ) 1/ 20 + 1/30 + 1/42 + 1/50 + 1/72 + 1/90 + 1/110 + 1/132
c ) 2 / 1x3 + 2 / 3x5 + 2/5 x 7 + .....+ 2 / 97 x 99 + 2/99 x 101
a) A = 2 + 4 + 6 + 8 + ... + 1000
Ta có : A = 2 + 4 + 6 + 8 + ... + 1000 ( có 500 số )
= (1000 + 2) . 500 : 2 = 250500
c) \(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{97.99}+\frac{2}{99.101}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}+\frac{1}{99}-\frac{1}{101}\)
\(=1-\frac{1}{101}=\frac{100}{101}\)
Câu 2: Tính nhanh:
a, 8 x 427 x 3 + 6 x 573 x 4
b, 6 x 1235 x 20 - 5 x 235 x 24
làm theo kiểu lớp 4 nha
a=8x3x6x4x(427+573)
a=8x3x6x4x1000
a=576000
Tính nhanh: 4/3 x 9/8 x 16/15 x ... x 121/120
=2x2/1x3 x 3x3/2x4x4/3x5 x ... x 11x11/10x12
=2x2x3x3x4x4x...x11x11/1x3x2x4x3x5x...x10x12
= 2x3x4x...x11)x(2x3x4x...x11)/(1x2x3x4x...x11)/(1x2x3x...x10)x(2x3x4x...x11)
=11x2/1x12
=22/12
=11/6
4/3x9/8x16/15x...x121/120=\(\dfrac{2^2}{1\cdot3}\)x\(\dfrac{3^2}{2\cdot4}\)x\(\dfrac{4^2}{3\cdot5}\)x...x\(\dfrac{11^2}{10\cdot12}\)=\(\dfrac{2}{3}\)x\(\dfrac{11}{10}\)=\(\dfrac{11}{15}\)
4/3x9/8x16/15x...x121/120=\(\dfrac{2^2}{1\cdot3}\)x\(\dfrac{3^2}{2\cdot4}\)x...x\(\dfrac{11^2}{10\cdot12}\)=\(\dfrac{2}{3}\)x\(\dfrac{11}{10}\)=\(\dfrac{11}{15}\)
Bài 4: Tính Nhanh
8 x 427 x 3 + 6 x 573 x 4
6 x 1235 x 20 - 5 x 235 x 24
\(a,8\times427\times3+6\times573\times4\)
\(=24\times427+24\times573\)
\(=24\times\left(427+573\right)\)
\(=24\times1000\)
\(=24000\)
\(b,6\times1235\times20-5\times235\times24\)
\(=120\times1235-120\times235\)
\(=120\times\left(1235-235\right)\)
\(=1235\times1000\)
\(=1235000\)