Tính nhanh :
A = 1 x 3 + 3 x 5 + 5 x 7 + ... + 51 x 53
Tính nhanh (1 + 3 + 5 +7 + ..... + 2019) x ( 4848 x 75 - 7575 x 48): 51
( 1 + 3 + 5 + 7 +...+ 2019) \(\times\) ( 4848 \(\times\) 75 - 7575 \(\times\) 48):51
=(1 + 3 + 5 + 7 +...+2019)\(\times\)( 48 \(\times\) 101 \(\times\) 75 - 75 \(\times\) 101 \(\times\)48):51
=(1+3+5+7+...+2019) \(\times\) ( 48 \(\times\) 101 \(\times\) 75 - 48 \(\times\) 101 \(\times\) 75):51
=(1+3+5+7...+2019)\(\times\)0 : 51
= 0: 51
= 0
tính nhanh :
3 + 5 + 7 + 9 +...+ 51
Tìm x :
a ) 135 + x . 2 = 151
b ) x . 5 - 227 = 273
c ) ( x - 4 ) . 3 + 2 = 101
d ) 170 - ( 4 + 5 . x ) = 101
GIUP TỚ
1) tính nhanh
Ta thấy các số cách nhau 2 đơn vị lên
Số số hạng là \(\left(51-3\right)\div2+1=25\) ( số hạng )
Tổng dãy số trên là \(\left(51+3\right)\times25\div2=675\)
2) Tìm x
a) \(135+x\times2=151\)
\(x\times2=151-135=16\)
\(x=16\div8\)
b) \(x\times5-227=273\)
\(x\times5=273+227=500\)
\(x=500\div5\)
\(x=100\)
c) \(\left(x-4\right)\times3+2=101\)
\(\left(x-4\right)\times3=101-2=99\)
\(x-4=99\div3=33\)
\(x=33+4\)
\(x=37\)
d) \(170-\left(4+5\times x\right)=101\)
\(4+5\times x=170-101=69\)
\(5\times x=69-4\)
\(5\times x=65\)
\(x=65\div5\)
\(x=13\)
Chứng minh : 51/2 x 52/2 x 53/2 x.......x 100/2 = 1 x 3 x 5 x 7 x.......x 99
1.3.5.7........99 = \(\frac{\left(1.3.5.7......99\right)\left(2.4.6......100\right)}{2.4.6......100}\)= \(\frac{1.2.3......99.100}{2^{50}\left(1.2.3.....50\right)}=\frac{51.52.53.......100}{2.2.2......2}=\frac{51}{2}.\frac{52}{2}....\frac{100}{2}\)(ĐPCM)
50 số 2
\(\dfrac{x+1}{59}+\dfrac{x+3}{57}+\dfrac{x+5}{55}=\dfrac{x+7}{53}+\dfrac{x+9}{51}+\dfrac{x+11}{49}\) giải pt
\(\dfrac{x+1}{59}+\dfrac{x+3}{57}+\dfrac{x+5}{55}=\dfrac{x+7}{53}+\dfrac{x+9}{51}+\dfrac{x+11}{49}\)
\(< =>\dfrac{x+1}{59}+1+\dfrac{x+3}{57}+1+\dfrac{x+5}{55}+1=\dfrac{x+7}{53}+1+\dfrac{x+9}{51}+1+\dfrac{x+11}{49}+1\)
\(< =>\dfrac{x+60}{59}+\dfrac{x+60}{57}+\dfrac{x+60}{55}=\dfrac{x+60}{53}+\dfrac{x+60}{51}+\dfrac{x+60}{49}\)
\(< =>\left(x+60\right)\left(\dfrac{1}{59}+\dfrac{1}{57}+\dfrac{1}{55}-\dfrac{1}{53}-\dfrac{1}{51}-\dfrac{1}{49}\right)=0\\ < =>x+60=0\\ < =>x=-60\)
Ta có : \(\dfrac{x+1}{59}+\dfrac{x+3}{57}+\dfrac{x+5}{55}=\dfrac{x+7}{53}+\dfrac{x+9}{51}+\dfrac{x+11}{49}\)
\(\Leftrightarrow\dfrac{x+1}{59}+\dfrac{x+3}{57}+\dfrac{x+5}{55}+3\text{=}\dfrac{x+7}{53}+\dfrac{x+9}{51}+\dfrac{x+11}{49}+3\)
\(\Leftrightarrow\left(\dfrac{x+1}{59}+1\right)+\left(\dfrac{x+3}{57}+1\right)+\left(\dfrac{x+5}{55}+1\right)\text{=}\left(\dfrac{x+7}{53}+1\right)+\left(\dfrac{x+9}{51}+1\right)+\left(\dfrac{x+11}{49}+1\right)\)
\(\Leftrightarrow\left(\dfrac{x+1}{59}+1\right)+\left(\dfrac{x+3}{57}+1\right)+\left(\dfrac{x+5}{55}+1\right)\text{=}\left(\dfrac{x+7}{53}+1\right)+\left(\dfrac{x+9}{51}+1\right)+\left(\dfrac{x+11}{49}+1\right)\)
\(\Leftrightarrow\dfrac{x+60}{59}+\dfrac{x+60}{57}+\dfrac{x+60}{55}\text{=}\dfrac{x+60}{53}+\dfrac{x+60}{51}+\dfrac{x+60}{49}\)
\(\Leftrightarrow\dfrac{x+60}{59}+\dfrac{x+60}{57}+\dfrac{x+60}{55}-\dfrac{x+60}{53}-\dfrac{x+60}{51}-\dfrac{x-60}{49}\text{=}0\)
\(\Leftrightarrow\left(x+60\right)\left(\dfrac{1}{59}+\dfrac{1}{57}+\dfrac{1}{55}-\dfrac{1}{53}-\dfrac{1}{51}-\dfrac{1}{49}\right)\text{=}0\)
\(Do\) \(\dfrac{1}{59}+\dfrac{1}{57}+\dfrac{1}{55}-\dfrac{1}{53}-\dfrac{1}{51}-\dfrac{1}{49}\ne0\)
\(\Leftrightarrow\left(x+60\right)\text{=}0\)
\(x\text{=}-60\)
\(Vậy...\)
1: Thực hiện phép tính
a: -14. ( 13-57)+57.(10-145)
b: -38.(25-4)+(25.(-4+38)
c: -39.(5-99)+99.(10-39)
2: Tính nhanh
a: 32+(-149)+(-311)+(-89)+(-51)
b: 17-452-548
c: 31+53-431
d: 8-(2014-2008)+2014
e: 1268-(78+1268)-(-78)
f: -48795-(489-48795)+4
g: (-33+180-75)-(180+25)
3: Tìm x€ Z, biết:
a: -2x -40= (5-x)- (-15+60)
b: 2.(x-5)- 3.(x +7)=14
c: -7.(5-x) - 2.(x-10)=15
d: 5.(x-6)-2.(x+3)=12
e: 3.(x-6)- (8-x)= 12
f: 4.(x-5)- (x+7)= -19
g: 7.(x-3)-5.(3-x) =11-15
h: x+18= 6-2x
i: 259-51|4x +3|= (-10)^2.3 +10^1
k: x+15= 20- 4x
l: -12+ x = 5x-20
mik nghĩ chắc trả ai rảnh để trả lời hết đâu dù biết làm
1:Tính bằng cách thuận tiện nhất (1điểm) a. 53 x 7 + 53 x 3 b. 5 x 235 x 2
a) 53✖7+53✖3 b) 5✖235✖2
=53✖(7+3) =10✖235
=53✖10 =2350
=530
\(a,53\times7+53\times3=53\times\left(7+3\right)=53\times10=530\\ b,5\times235\times2=\left(5\times2\right)\times235=10\times235=2350\)
a.53 x 7 +3)
=53x(7+3)
=53x10=530
b. 5 x 235 x2
=235x(5 x 2)
=235 x 10=2350
1)Tính nhanh:
a)42 x 120 - 43 x 17 + 42 x 34
b)73 x 9 + 32 x 74 - 45 x 539
2.Tính
a)53 : 52 x 73 x 72
b) ( 51 x 63 - 37 x 51 ) : 51
3.Tính (23 x 94 + 93 x 45 ) : ( 92 x 10 - 92 )
4.Tìm x biết x + 5 x 2 - ( 32 + 16 x 3 : 6 - 15 ) = 0
5.Tính A = 1 + 4 + 42 + 43 + ... +4n ( n > 2 , n thuộc N)
1)Tính nhanh:
a)42 x 120 - 43 x 17 + 42 x 34
b)73 x 9 + 32 x 74 - 45 x 539
2.Tính
a)53 : 52 x 73 x 72
b) ( 51 x 63 - 37 x 51 ) : 51
3.Tính (23 x 94 + 93 x 45 ) : ( 92 x 10 - 92 )
4.Tìm x biết x + 5 x 2 - ( 32 + 16 x 3 : 6 - 15 ) = 0
5.Tính A = 1 + 4 + 42 + 43 + ... +4n ( n > 2 , n thuộc N)
1)Tính nhanh:
a)42 x 120 - 43 x 17 + 42 x 34
b)73 x 9 + 32 x 74 - 45 x 539
2.Tính
a)53 : 52 x 73 x 72
b) ( 51 x 63 - 37 x 51 ) : 51
3.Tính (23 x 94 + 93 x 45 ) : ( 92 x 10 - 92 )
4.Tìm x biết x + 5 x 2 - ( 32 + 16 x 3 : 6 - 15 ) = 0
5.Tính A = 1 + 4 + 42 + 43 + ... +4n ( n > 2 , n thuộc N)