135 x ( a x 1 - a : 1 ) + 115
a)234 x 4 + 234 x 5 + 234
b)135 x16 - 135 x 2 - 4 x 135
c) 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64
a,234.4+234.5+234=234(4+5+1)=234.10=2340
b,135.16-135.2-135.4=135(16-4-2)=135.10=1350
c,1/2+1/4+1/8+1/16+1/32+1/64=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32=1-1/32=31/32
a) 234 x4 + 234 x 5 + 234 = 234 x ( 1+4+5)=2340
b)135 x16 -135 x2 -4 x135 =135 x (16-2-4) =1350
a) 234.(4+5+1)=234.10=2340
b)135.(16-2-4)=135.10=1350
1. Tính nhanh : A = 1/(1+2 ) + 1/(1+2+3) + 1/(1+2+3+4) + 1/(1+2+3+4+5) + .... + 1/(1+2+3+...+10)
2. So sánh A và B : A = ( 11 x 13 x 15 + 33 x 39 x 45 + 55 x 65 x 75 + 99 x 117 x 135 ) : ( 11 x 13x 17 + 39 x 45 x 57 + 65 x 75 x 85 + 117 x 135 x 153 ) B = 1111 : 1717
Bài 1:
\(A=\frac{1}{\left(1+2\right)}+\frac{1}{\left(1+2+3\right)}+\frac{1}{\left(1+2+3+4\right)}\)\(+\frac{1}{\left(1+2+3+4+5\right)}+...+\)\(\frac{1}{\left(1+2+3+...+10\right)}\)
\(A=\frac{1}{3}+\frac{1}{6}+....+\frac{1}{55}\)
\(A=2\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{110}\right)\)
\(A=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)\)
\(A=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{10}-\frac{1}{11}\right)\)
\(A=2.\left(\frac{1}{2}-\frac{1}{11}\right)\)
\(A=\frac{9}{11}\)
Bài 2 :
2) Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15
Mẫu số = 11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x 17 = (1+27+125+729) x 13 x 15 x 17
\(\Rightarrow A< \frac{\left(1+27+125+729\right)\times11\times13\times15}{\left(1+27+125+729\right)\times13\times15\times17}\)
\(=\frac{11}{17}\)
\(=\frac{1111}{1717}=B\)
Vậy \(A=B\)
1. Tính nhanh :
A = 1/(1+2 ) + 1/(1+2+3) + 1/(1+2+3+4) + 1/(1+2+3+4+5) + .... + 1/(1+2+3+...+10)
2. So sánh A và B :
A = ( 11 x 13 x 15 + 33 x 39 x 45 + 55 x 65 x 75 + 99 x 117 x 135 ) : ( 11 x 13x 17 + 39 x 45 x 57 + 65 x 75 x 85 + 117 x 135 x 153 )
B = 1111 : 1717
1)\(A=\frac{1}{3}+\frac{1}{6}+...+\frac{1}{55}=2\left(\frac{1}{6}+\frac{1}{12}+...+\frac{1}{110}\right)=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{10}-\frac{1}{11}\right)=2.\left(\frac{1}{2}-\frac{1}{11}\right)=\frac{9}{11}\)
2) Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15
Mẫu số = 11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17
lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x 17 = (1+27+125+729) x 13 x 15 x 17
=> \(A
giải giùm mình bài này vớC= (67/111+2/33-15/117)x(1/3-1/4-1/12)
1. tìm x
2x -3 = x + 1/2
2. tính bằng hai cách
A = ( 2008 - 2/135 +1/50) - ( 1 - 7/135 +4/50) - ( 5+ 5/135 +3/50)
cần gấp nha
Mk giải câu 1 nha
1) 2x - 3 = x + 1/2
➡️2x - x = 1/2 + 3
➡️x = 7/2
Hok tốt~
câu 1 : Thực hiện phép tính
1) 2 mũ 3 .15 - [115-(12-5) mũ 2]
2) 30:{175:[355- (135+37.5)]}
câu 2 :tìm x ,biết
1)0128-3(x+4)=23
2) 720:[41-(2x-50]=2 mũ 3 .5
Bài 3. Tìm số nguyên x, biết:
a) x - 6 = 1. b) 23 - x = 0
c) 2x - 8 = 12 d) 2x - ( -1) = 1
e) (135 + x) - 135 = 0; f) ( -562) - (x- 562) = 0
a) ` (135/2371 + 24/25) x (1/2 - 1/3 -1/6) `
\(\left(\dfrac{135}{2371}+\dfrac{24}{25}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{135}{2371}+\dfrac{24}{25}\right)\times\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{135}{2371}+\dfrac{24}{25}\right)\times0=0\)
a) ` (135\2371 + 24\25) x (1\2 - 1\3 -1\6) `
1, Tính hợp lí :
a, ( - 16 ). ( - 25 ). ( - 12)
b, (-135+52). (-135)+(-135). 47
c, 48. (-21)+(-142). (-24)
2, Tìm x, y biết :
a, (x-1). (x-2)=0
b, (x-3). (y-2)=7
c, (x+1) mu 2 +(y-1) mu 2 = 0
3, Tìm số nguyên n biết :
a, (n+3). (n mu 2 +1)=0
b, (n-1). (n mu 2 -4)=0
Giúp ml nhanh nha
1/ Tính hợp lí:
\(\text{a/ ( - 16 ). ( - 25 ). ( - 12)}\)
\(=400.\left(-12\right)\)
\(=-4800\)