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\(1-2-3+4+5-6-7+8+...+97-98-99+100+101\)
\(=\left(1-2-3+4\right)+\left(5-6-7+8\right)+...+\left(97-98-99+100\right)+101\)
\(=0+0+...+0+101\)
\(=101\)
a) 300 + 40 + 0,05
= 340 + 0,05
= 340,05
b) 50 + 0,6 + 0,07
= 50,6 + 0,07
= 50,67
c) 200 + 6 + 3/100
= 200 + 6 + 0,03
= 206 + 0,03
= 206,03
d) 27 + 4/10 + 6/100
= 27 + 0,4 + 0,06
= 27 + 0,46
= 27,46
\(5a+5b-100\)
\(=5\times\left(a+b\right)-100\)
\(=5\times50-100\)
\(=250-100\)
\(=150\)
\(5a+5b-100\)
\(=5\times\left(a+b\right)-100\)
\(=5\times50-100\)
\(=250-100\)
\(=150\)
\(\left(x+1\right)+\left(x+2\right)+....+\left(x+50\right)+100=1475\)
\(\left(x+1\right)+\left(x+2\right)+...+\left(x+50\right)=1475-100=1375\)
\(\left(x+x+...+x\right)+\left(1+2+..+50\right)=1375\)
\(\frac{\left(50+1\right)\times50}{2}+50x=1375\)
\(1275+50x=1375\)
\(50x=1375-1275=100\)
\(x=100\div50\)
\(\Rightarrow x=2\)
= x+1+x+2+...+x+50+100=1475
=) x+1+x+2+...+x+50=1475-100=1375
=) (x+x+x+...+x)+(1+2+...+50)=1375
50 số x
=) 50x+(50+1).[(50-1):1+1]:2 = 1475
=) 50x+51.50:2=1475
=) 50x+1275=1475
=) 50x=1475-1275=200
=) x=200:50=4
300 + 40 + 0,05 = 340,05
50 + 0,6 + 0,07 = 50,67
200 + 6 + 3 / 100 = 206,03
27 + 0,4 + 0,06 = ?
`@` `\text {Ans}`
`\downarrow`
`a)`
`13/50 + 9% + 41/100 + 0,24`
`= 0,26 + 0,09 + 0,41 + 0,24`
`= (0,26 + 0,24) + (0,09 + 0,41)`
`= 0,5 + 0,5`
`= 1`
`b)`
`2018 \times 2020 - 1/2017 + 2018 \times 2019`
`= 2018 \times (2020 + 2019) - 1/2017`
`= 2018 \times 4039 - 1/2017`
`= 8150702`
`c)`
`1/2 + 1/6 + 1/12 + 1/20 +1/30 +1/42`
`=`\(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}\)
`=`\(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{6}-\dfrac{1}{7}\)
`=`\(1-\dfrac{1}{7}\)
`= 6/7`
\(a,\dfrac{13}{50}+9\%+\dfrac{41}{100}+0,24\\ 0,26+0,09+0,41+0,24\\ =\left(0,26+0,24\right)+\left(0,09+0,41\right)\\ =0,5+0,5\\ =1\\ b,2018\times2020-\dfrac{1}{2017}+2018\times2019\\ =2018\times\left(2020+2019\right)-\dfrac{1}{2017}\\ =2018\times4039-\dfrac{1}{2017}\\ =3150702-\dfrac{1}{2017}\\ c,\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}\\ =1-\dfrac{1}{2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}\\ =1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}.........+\dfrac{1}{6}-\dfrac{1}{7}\\ =1-\dfrac{1}{7}\\ =\dfrac{6}{7}\)
A. \(\left(x+1\right)+\left(x+2\right)+......+\left(x+100\right)=5750\)
\(x+1+x+2+....+x+100=5750\)
\(100x+\left(1+2+3+.......+100\right)=5750\)
\(100x+5050=5750\)
\(100x=700\)
\(x=700:100=7\)
B. x+(1+2+......+100) = 2000
x + 5050 = 2000
x = 2000 - 5050
x= -3050
C. ( x-1 )+(x-2)+......+( x - 100 ) = 50
x-1+x-2+.........+x-100 = 50
100x + ( -1-2-........-100 ) = 50
100x + ( - 5050 ) = 50
100x = 50 + 5050
100 x = 5100
x = 5100 : 100
x = 51
A . \(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\)
\(\left(x+x+x+...+x\right)+\left(1+2+3+...+100\right)=5750\)
\(100x+5050=5750\)
\(100x=5750-5050\)
\(100x=700\)
\(\Rightarrow x=\frac{700}{100}=7\)
B. \(x+\left(1+2+3+4+5+....+100\right)=2000\)
\(x+\frac{\left(100+1\right).100}{2}=2000\)
\(x+5050=2000\)
\(\Rightarrow x=2000-5050=-3050\)
C. \(\left(x-1\right)+\left(x-2\right)+\left(x-3\right)+....+\left(x-100\right)=50\)
\(\left(x+x+x+...+x\right)-\left(1+2+3+...+100\right)=50\)
\(100x-5050=50\)
\(100x=5100\)
\(\Rightarrow x=\frac{5100}{100}=51\)
\(\dfrac{5}{100}+\dfrac{12}{100}+\dfrac{100}{100}+\dfrac{9}{100}=\dfrac{126}{100}=\dfrac{63}{50}\)
1.26 nha