Tính nhanh tổng :
a) S = 1 + (-2) + 3 + (-4) +... + (-8) + 9
b) 1 + (-4) + 7 + (-10) +....+ 19 + (-22)
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a. ( 23 - 21) + ( 19 - 17) + ( 15 - 13) + ( 11 - 9) + ( 7 - 5) + ( 3 - 1)
= 2 + 2 + 2 + 2 + 2 + 2
= 2 x 6
= 12
b. ( 24 - 22 ) + ( 20 - 18 ) + ( 16 - 14 ) + ( 12 - 10) + ( 8 - 6 ) + ( 4 - 2)
= 2 + 2 + 2 + 2 + 2 + 2
= 2 x 6
= 12
2:
a: =4+3/8+5+2/3
=9+3/8+2/3
=216/24+9/24+16/24
=216/24+25/24
=241/24
b; =2+3/8+1+1/4+3+6/7
=6+3/8+1/4+6/7
=6+5/8+6/7
=419/56
c: \(=2+\dfrac{3}{8}-1-\dfrac{1}{4}+5+\dfrac{1}{3}\)
=6+3/8-1/4+1/3
=6+1/8+1/3
=6+11/24
=155/24
d: \(=3+\dfrac{5}{6}+6\cdot\dfrac{13}{6}\)
=3+13+5/6
=16+5/6
=101/6
e: =3+1/2+4+5/7-5-5/14
=3+4-5+1/2+5/7-5/14
=2+7/14+10/14-5/14
=2+12/14
=2+6/7=20/7
f: =9/2+1/2:11/2
=9/2+1/11
=99/22+2/22=101/22
2:
a: =4+3/8+5+2/3
=9+3/8+2/3
=216/24+9/24+16/24
=216/24+25/24
=241/24
b; =2+3/8+1+1/4+3+6/7
=6+3/8+1/4+6/7
=6+5/8+6/7
=419/56
c: \(=2+\dfrac{3}{8}-1-\dfrac{1}{4}+5+\dfrac{1}{3}\)
=6+3/8-1/4+1/3
=6+1/8+1/3
=6+11/24
=155/24
d: \(=3+\dfrac{5}{6}+6\cdot\dfrac{13}{6}\)
=3+13+5/6
=16+5/6
=101/6
e: =3+1/2+4+5/7-5-5/14
=3+4-5+1/2+5/7-5/14
=2+7/14+10/14-5/14
=2+12/14
=2+6/7=20/7
f: =9/2+1/2:11/2
=9/2+1/11
=99/22+2/22=101/22
A=2/3(1-1/4+1/4-1/7+1/7-1/10+....+1/19-1/22)=2/3(1-1/22)=7/11
Tính các tổng sau:
1, S=1-2+3_4+..+25-26
S =-1+3-5+7-...-53+55 ( có 28 số hạng )
= (-1+3)+(-5+7)+...+(-53+55) ( có 28:2=14 nhóm )
= 2+2+...+2
= 2 . 14
= 28
a ) ( -1/6 + 5/12 ) + 7/12
= -1/6 + ( 5/12 + 7/12 )
= -1/6 + 12/12
= -2/12 + 12/12
= -10/12
= -5/6
Mình sửa đề 1 chút
\(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+....+\frac{3}{19\cdot22}\)
\(=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+....+\frac{1}{19}-\frac{1}{22}\)
\(=1-\frac{1}{22}=\frac{20}{22}=\frac{10}{11}\)
3/1x4+3/4x7+3/7x10+...+3/19x22
=3/1-3/4+3/4-3/7+3/7-3/10+...+3/19-3/22
=1-1/4+1/4-1/7+1/7-1/10+...+1/19-1/22
=(1/4-1/4)+(1/7-1/7)+(1/10-1/10)+...+(1/19-1/19)+(1-1/22)
=0+0+0+...+0+21/22
=21/22
BÀI 1:
a) \(\frac{4}{5}+\frac{3}{8}+\frac{1}{4}\)
\(=\frac{32}{40}+\frac{15}{40}+\frac{10}{40}\)
\(=\frac{32+15+10}{40}\)\(=\frac{57}{40}\)
b) \(\frac{5}{9}+\frac{2}{3}+\frac{1}{2}\)
\(=\frac{10}{18}+\frac{12}{18}+\frac{9}{18}\)
\(=\frac{10+12+9}{18}=\frac{31}{18}\)
a,S=1+(-2)+3+(-4)+...+(-8)+9
Vì S có 9 số hạng
S=[1+(-2)]+[3+(-4)]+[5+(-6)]+[7+(-8)]+9
S=(-1)+(-1)+(-1)+(-1)+9
S=-4+9
S=5
b,Đặt Q=1+(-4)+7+(-10)+...+19+(-22)
Vì Q có 22 số hạng
Q=[1+(-4)]+[7+(-10)]+...+[19+(-22)]
Q=(-3)+(-3)+...+(-3)[11 số (-3)]
Q=(-3).11
Q=-33
a) S=1+(-2)+3+(-4)+...+(-8)+9
<=> S=(1-2)+(3-4)+....+(7-8)+9
<=> S=(-1)+(-1)+....+(-1)+9
<=> S=4+9
<=> S=13
b) 1+(-4)+7+(-10)+....+19+(-22)
=-3+(-3)+.....+(-3)
=(-3).4
=-12