tính nhanh 5423 x 227+x 2146x173+173 x 3277
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a, 4 x 113 x 8 - 32 x 13
= (4 x 8) x 113 - 32 x 13
= 32 x 113 - 32 x 13
= 32 x (113 - 13)
= 32 x 100 = 3200
b , 54 x 227 + 45 x 227 + 227
= 227 x (54+45+1)
= 227 x 100
= 22 700
c, ( 145 x 99 + 145 ) - ( 143 x101 - 143 )
= 145 x (99+1) - 143 x (101 - 1)
= 145 x 100 - 143 x 100
= 100 x (145 - 143)
= 100 x 2
= 200
a) \(4\times113\times8-32\times13\)
\(=4\times8\times113-32\times13\)
\(=32\times113-32\times13\)
\(=32\times\left(113-13\right)\)
\(=32\times100\)
\(=3200\)
b) \(54\times227+45\times227+227\)
\(=227\times\left(54+45+1\right)\)
\(=227\times100\)
\(=22700\)
c) \(\left(145\times99+145\right)-\left(143\times101-143\right)\)
\(=145\times\left(99+1\right)-143\left(101-1\right)\)
\(=145\times100-143\times100\)
\(=14500-14300\)
\(=200\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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) \(170-\left(4+5\times x\right)=101\)
\(4+5\times x=170-101=69\)
\(5\times x=69-4\)
\(5\times x=65\)
\(x=65\div5\)
\(x=13\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2016\times105-2016\times4-2016\)
\(=2016\times\left(105-4-1\right)\)
\(=2016\times100\)
\(=201600\)
\(x\times24+x\times6=240\)
\(x\times\left(24+6\right)=240\)
\(x\times30=240\)
\(x=240:30\)
\(x=8\)
\(x-167\times15=167\times185\)
\(x-2505=30895\)
\(x=30895+2505\)
\(x=33400\)
\(173\times105+173\times96-173\)
\(=173\times\left(105+96-1\right)\)
\(=173\times200\)
\(=34600\)
1. 2016 x 105 - 2016 x 4 - 2016
= 211680 - 8064 - 2016
= 203616 - 2016
= 201600
2. X x 24 + X x 6 = 240
X x (24 + 6) = 240
X x 30 = 240
X = 240 : 30
X = 8
3. X - 167 x 15 = 167 x 185
X - 2505 = 30895
X = 30895 - 2505
X = 28390
4. 173 x 105 + 173 x 96 - 173
= 18165 + 16608 - 173
= 34773 - 173
= 34600
![](https://rs.olm.vn/images/avt/0.png?1311)
2 - ( 2/8 + x - 173/24 ) : 50/3 = 0
( 2/8 + x - 173/24 ) : 50/3 = 2 - 0
( 2/8 + x - 173/24 ) : 50/3 = 2
2/8 + x - 173/24 = 2 x 50/3
2/8 + x - 173/24 = 100/3
2/8 + x = 100/3 + 173/24
2/8 + x = 973/24
x = 973/24 - 2/8
x = 967/24
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2-\left(\frac{2}{8}+x-\frac{173}{24}\right)\text{ : }\frac{50}{3}=0\)
\(2-\left(\frac{2}{8}+x-\frac{173}{24}\right)=0\text{ x }\frac{50}{3}\)
\(2-\left(\frac{2}{8}+x-\frac{173}{24}\right)=0\)
\(\frac{2}{8}+x-\frac{173}{24}=2-0\)
\(\frac{2}{8}+x-\frac{173}{24}=2\)
\(\frac{2}{8}+x=2+\frac{173}{24}=\frac{48}{24}+\frac{173}{24}\)
\(\frac{2}{8}+x=\frac{221}{24}\)
\(x=\frac{221}{24}-\frac{2}{8}=\frac{221}{24}-\frac{6}{24}\)
\(x=\frac{215}{24}\)
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1: -20<x<21
=>\(x\in\left\{-19;-18;...;19;20\right\}\)
Tổng là (-19)+(-18)+...+18+19+20=20
2: -18<=x<=17
=>\(x\in\left\{-18;-17;...;16;17\right\}\)
Tổng là (-18)+(-17)+...+16+17
=(-18)
3: -27<x<=27
=>\(x\in\left\{-26;-25;...;24;25;26;27\right\}\)
Tổng là 27
4: |x|<=3
=>\(x\in\left\{0;1;-1;2;-2;3;-3\right\}\)
Tổng là 0
5: |-x|<5
=>|x|<5
=>\(x\in\left\{0;1;-1;2;-2;3;-3;4;-4\right\}\)
Tổng là 0
2,168,800.
5423 x 227 +2146 x 173 + 173 x 3277
= 5423 x 227 + (2146 x 173 + 173 x 3277)
= 5423 x 227 + 173 x (2146 + 3277)
= 5423 x 227 + 173 x 5423
= 5423 x (227 + 173)
= 5423 x 400
= 2169200