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a) 1-3+5-7+9-12+15-18
= (1+ 9) - (3+7) + (5+15) - (12+18)
= 10 - 10 + 20 - 30 = -10.
b) (-2)+5-7+9-11+13-15+19-21
= 5 - 11 - 2 -2 = 5 - (11+2+2)
= 5 - 15 = -10
Bài 1:
a) Ta có: 1-3+5-7+9-12+15-18
=(1+9)-(3+7)+(5+15)-(12+18)
=10-10+20-30
=-10
b) Ta có: \(\left(-2\right)+5-7+9-11+13-15+19-21\)
\(=3+2+2+4-21\)
\(=5+6-21\)
=11-21=-10
c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)
\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)
\(=1-2=-1\)
Giải:
a)-1/12+4/3=-1/12+16/12=15/12=5/4
b)(-4/14-3/15)-(1/5-20/35-(-1)).7
=-17/35-22/35.7
=-17/35-22/5
=-171/35
c)3/5+-5/20+30/75+-7/4
=3/5+-1/4+2/5+-7/4
=(3/5+2/5)+(-1/4+-7/4)
=1+-2
=-1
d)5/6.-12/14+7/13
=-5/7+7/13
=-16/91
e)2/-9-5/-36-1/4
=-1/12-1/4
=-1/3
f)2/23+-5/12+7/18+21/23+-7/12
=(2/23+21/23)+(-5/12+-7/12)+7/18
=1+-1+7/18
=7/18
Bài 1:
a) \(=\dfrac{8}{15}\left(\dfrac{7}{13}+\dfrac{6}{13}\right)=\dfrac{8}{15}.1=\dfrac{8}{15}\)
b) \(=\dfrac{3.3-7-2.4}{12}=-\dfrac{6}{12}=-\dfrac{1}{2}\)
Bài 2:
\(\dfrac{x}{2,7}=-\dfrac{2}{3,6}\Rightarrow x=\dfrac{\left(-2\right).2,7}{3,6}\Rightarrow x=-\dfrac{3}{2}\)
Bài 3:
\(\dfrac{x}{2}=\dfrac{y}{5}=\dfrac{x+y}{2+5}=-\dfrac{21}{7}=-3\)
\(\Rightarrow\left\{{}\begin{matrix}x=\left(-3\right).2=-6\\y=\left(-3\right).5=-10\end{matrix}\right.\)
a) A=6 -13 +(-14+15+16-17)+(-18+19+20-21)+...+(-2018+2019+2020-2021)+(-2022+2023+2024-2025) +2025
A=-7 +0 +0 +...+0+0 +2025= 2018
B) 7-9+(-10+11+12-13)+(-14+15+16-17)+...+(-2018+2019+2020-2021)+2021
B= -2+0+0+...+0+2021=2019
#Có gì không hiểu thì hỏi nha#
\(5:8=\dfrac{5}{8}\\ 7:12=\dfrac{7}{12}\\ 13:15=\dfrac{13}{15}\\ 12:17=\dfrac{12}{17}\\ 8:11=\dfrac{8}{11}\\ 6:13=\dfrac{6}{13}\\ 18:21=\dfrac{18}{21}=\dfrac{6}{7}\\ 15:23=\dfrac{15}{23}\)
câu 1:
\(\left\{1;2;...;11\right\}\)
\(\left\{x\in N;0< x\le11\right\}\)
câu 2:
a) \(=416-\dfrac{189}{32}=\dfrac{13123}{32}\)
b) dãy trên có số hạng là: \(\left(90-12\right):3+1=27\)(số)
tổng dãy số trên là:\(\left(90+12\right).27:2=1377\)
c) \(=2020-\left(45-5^2\right)+1=2020-20+1=2001\)
\(-\frac{1}{13}+\frac{15}{21}+\frac{\left(-12\right)}{13}+\frac{2}{7}+\frac{2020}{2021}\)
\(=-\frac{1}{13}+\frac{15}{21}-\frac{12}{13}+\frac{6}{21}+\frac{2020}{2021}\)
\(=\left(-\frac{1}{13}-\frac{12}{13}\right)+\left(\frac{15}{21}+\frac{6}{21}\right)+\frac{2020}{2021}\)
\(=-1+1+\frac{2020}{2021}=\frac{2020}{2021}\)