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a) 4567 + (1234 – 4567) -4
= 4567 + 1234 - 4567 -4
= ( 4567-4567) + ( 1234 -4)
= 0+1230
=1230
a) (-18)+(-31)+98+|-18|+(-69)
((-18)+98)+((-31)+18+(-69))
80+ (-82)
-2
b)15×(-176)+15×76+100×15
=15×((-176)+76+10)
=15×0
=0
c)79×89-79×(-11)-100×79
=79×(89-(-11)-100)
=79×0
=0
Chúc bạn học tốt
11 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19 -20
= (11 + 19) - (12 + 18) + (13 + 17) - (14 + 16) - (20 - 15)
= 30 - 30 + 30 - 30 - 5
= 0 + 0 - 5
= - 5
11-12+13-14+15-16+17-18+19-20
=(11-12)+(13-14)+(15-16)+(17-18)+(19-20)
=(-1)+(-1)+(-1)+(-1)+(-1)
=-1.5
=-5
ta co
11-12+13-14+15-16+17-18+19-20\
= (11-12)+(13-14)+(15-16)+(17-18)+(19-20)
=(-1)+(-1)+(-1)+(-1)+(-1)
=(-1)x5
=-5
1.73.(8-59)-59.(8-73)
=73.8-73.59-59.8-59.73
=73.(59-59)-8.(73-59)
=73.0-8.14
=0-112
=-112
2.159.(18-59)-59.(18 - 159)
=159.18-59.159-59.18-59.159
=159.(59-59)-18.(159-59)
=159.0-18.100
=0-1800
=-1800
M = \(15.\left(\frac{1}{15.16}+\frac{1}{16.17}+...+\frac{1}{19.20}\right)\)
= \(15.\left(\frac{1}{15}-\frac{1}{16}+\frac{1}{16}-\frac{1}{17}+...+\frac{1}{19}-\frac{1}{20}\right)\)
= \(15.\left(\frac{1}{15}-\frac{1}{20}\right)\)
= \(15.\frac{1}{60}\)= \(\frac{1}{4}\)\(< \frac{1}{3}\)
(=) \(M< \frac{1}{3}\)\(\left(đpcm\right)\)
Ta có: \(M=\frac{15}{15.16}+\frac{15}{16.17}+\frac{15}{17.18}+\frac{15}{18.19}+\frac{15}{19.20}\)
\(\Rightarrow M=15.\left(\frac{1}{15.16}+\frac{1}{16.17}+\frac{1}{17.18}+\frac{1}{18.19}+\frac{1}{19.20}\right)\)
\(\Rightarrow M=15.\left(\frac{1}{15}-\frac{1}{16}+\frac{1}{16}-\frac{1}{17}+\frac{1}{17}-\frac{1}{18}+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\right)\)
\(\Rightarrow M=15.\left(\frac{1}{15}-\frac{1}{20}\right)\)
\(\Rightarrow M=15.\frac{1}{60}=\frac{1}{4}\)
Ta thấy: \(\frac{1}{4}< \frac{1}{3}\Rightarrow M< \frac{1}{3}\)
Vậy \(M< \frac{1}{3}\)
Chúc bạn học tốt!
a) A = ( 11 + 19 ) + ( 12 + 18 ) + ( 13 + 17 ) + (14 + 16) + 15 + 20
= 30 + 30 + 30 + 30 + 15 + 20
= 155
b)B=11+13+15+17+...+25
B=(11+25)+(13+23)+(15+21)+(17+19)
B=36+36+36+36
B=36.4
B=144
c)C=12+14+16+18+...+26
C=(12+26)+(14+24)+(16+22)+(18+20)
C=38+38+38+38
C=38.4
C=152
\(\text{15.(-176)+15.76+100.15}\)
\(=15.\left(-176+76+100\right)\)
\(=15.0\)
\(=0\)
\((-18)+(-31)+98+\left|-18\right|+(-69)\)
\(=(-18)+(-31)+98+18+(-69)\)
\(=(-18)+18+(-31)+(-69)+98\)
\(=0+(-100)+98=-2\)