99 x 120 + 120 x 1
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a) \(30\times1235\times4-8\times235\times15\)
\(=120\times1235-120\times235\)
\(=120\times\left(1235-235\right)\)
\(=120\times1000\)
\(=120000\)
b) \(\left(120\times99+120\right)-185\times101+185\)
\(=120\times\left(99+1\right)-185\cdot\left(101-1\right)\)
\(=120\times100-185\times100\)
\(=12000-18500\)
\(=-6500\)
a) 30 x 1235 x 4 - 8 x 235 x 15
=(30x4) x 1235 - (8x15)x235
= 120 x 1235 - 120 x 235
=120 x (1235-235)
=120 x 1000
=120000
b) ( 120 x 99 +120) - 185 x 101-185
=(120 x 99 + 120) - (185x101+185)
=120x(99+1) - 185x(101+1)
=120 x 100-185x102
=12000-18870
= -(18870-12000)
= -6870
![](https://rs.olm.vn/images/avt/0.png?1311)
a) x – 281 = 304
x = 304 + 281
x = 585
b) 3x – 120 = 201
3x = 201 + 120
3x = 321
x = 321 : 3
x = 107
c) 53 – ( 99 – x ) = 43
99 - x = 53 - 43
99 - x = 10
x = 99 - 10
x = 89
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Đặt:
\(X=\left(1+\dfrac{1}{9}\right)\left(1+\dfrac{1}{10}\right)\left(1+\dfrac{1}{11}\right).....\left(1+\dfrac{1}{200}\right)\)
\(X=\dfrac{10}{9}.\dfrac{11}{10}.\dfrac{12}{11}......\dfrac{201}{200}\)
\(X=\dfrac{10.11.12......201}{9.10.11......200}\)
\(X=\dfrac{201}{9}\)
\(Y=\left(1-\dfrac{1}{10}\right)\left(1-\dfrac{1}{11}\right)\left(1-\dfrac{1}{12}\right).....\left(1-\dfrac{1}{99}\right)\)
\(Y=\dfrac{9}{10}.\dfrac{10}{11}.\dfrac{11}{12}.....\dfrac{98}{99}\)
\(Y=\dfrac{9.10.11......98}{10.11.12.....99}\)
\(Y=\dfrac{9}{99}=\dfrac{1}{11}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
120+[1+2+3...+9+100]x[4x9-36]
=120+1+2+3...+9+100]x0
=120+0
=120
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\(\dfrac{1}{120}\cdot120+x:\dfrac{1}{3}=-4\)
\(\Leftrightarrow1+x\cdot3=-4\)
\(\Leftrightarrow3x=-5\)
\(\Leftrightarrow x=-\dfrac{5}{3}\)
\(\dfrac{1}{120}.120+x:\dfrac{1}{3}=-4\)
\(1+x:\dfrac{1}{3}=-4\)
\(x:\dfrac{1}{3}=-4-1\)
\(x:\dfrac{1}{3}=-5\)
\(x=-5.\dfrac{1}{3}\)
\(x=\dfrac{-5}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) số số hạng của tổng là :
(66-2):2+1=33 (số hạng)
tổng câu a) là
(66+2).33:2=1122
b)=(99-97)+(95-93)+...+(7-5)+(3-1) ghi đề sai đó 97 nhé không phải 96
=2+2+2+....+2+2( có 50 số hạng )
=2.50=100
c)=17.(87+15)-120
=17.102-120
=1614
k đó
Số phải tìm là:
120 x (99 + 1) = 12000
Đáp số: 12000
99x120+120x1=120x(99+1)=120x100=12000