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17. (15 - 16) + 16 . ( 17 - 20 )
= 17 . 1 + 16 . (-3)
= 17 + (-48)
= -31
17 . (15 - 16)+ 16 . (17 - 20)
= 17.(-1) + 16. (-3)
= -17 + (-48)
= -65
\(17.\left(15-16\right)+16.\left(17-20\right)\)
\(=17.15-17.16+16.17-16.20\)
\(=17.15-16.20+\left(17.16-17.16\right)\)
\(=255-320+0\)
\(=-65\)
CHÚC BN HỌC TỐT!!!!!
a) 17.(15-16)+16.(17-20)
= 17 . 15 - 17.16 + 16.17 - 16.20
= 17 . 15 - 16.20
= 255 - 320
= -65
# HOK TỐT #
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!
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
\(\text{15.(-176)+15.76+100.15}\)
\(=15.\left(-176+76+100\right)\)
\(=15.0\)
\(=0\)
\((-18)+(-31)+98+\left|-18\right|+(-69)\)
\(=(-18)+(-31)+98+18+(-69)\)
\(=(-18)+18+(-31)+(-69)+98\)
\(=0+(-100)+98=-2\)
17(15-16)+16(17-20)
= 17. (-1) + 16.3
= -17 + 48
= 31