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1) 125.(-24) + 24.225.
\(=24\left(-125+225\right)=24.100=2400.\)
2) 512.(2 – 128) – 128. (-512).
\(=512\left(2-128+128\right)=512.2=1024.\)
\(36:\left\{180:\left[2\cdot5^2-\left(5^3-3\cdot5\cdot7\right)\right]\right\}\)
\(=36:\left\{180:\left[2\cdot25-\left(125-15\cdot7\right)\right]\right\}\)
\(=36:\left\{180:\left[50-\left(125-105\right)\right]\right\}\)
\(=36:\left[180:\left(50-20\right)\right]\)
\(=36:\left(180:30\right)\)
\(=36:6\)
\(=6\)
\(=\dfrac{36}{180:\left[2\cdot25-5^3+15\cdot7\right]}=\dfrac{36}{180:30}=\dfrac{36}{6}=6\)
a, \(\frac{4}{20}+\frac{16}{42}+\frac{6}{15}+\frac{-3}{5}+\frac{-10}{21}+\frac{3}{20}\)
\(=\left(\frac{4}{20}+\frac{-3}{5}+\frac{6}{15}+\frac{3}{20}\right)\)\(+\left(\frac{16}{42}+\frac{2}{21}+\frac{-10}{21}\right)\)
\(=\left(\frac{4}{20}+\frac{-12}{20}+\frac{8}{20}+\frac{3}{20}\right)\)\(+\left(\frac{8}{21}+\frac{2}{21}+\frac{-10}{21}\right)\)
\(=\frac{3}{20}\)
b,\(\frac{42}{46}+\frac{250}{186}+\frac{-2121}{2323}+\frac{-125125}{143143}\)
\(=\frac{21}{23}+\frac{125}{93}+\frac{-21}{23}+\frac{-125}{143}\)
\(=\left(\frac{21}{23}+\frac{-21}{23}\right)+\left(\frac{125}{93}+\frac{-125}{143}\right)\)
\(=\frac{6250}{13299}\)
\(=\left[\left(-3\right)+\left(-7\right)\right]+\left[\left(-250\right)+250\right]\\ =-10+0=-10\)
1) - 135 - 2017 + 9 x 15
= - 135 - 2017 + 135
= ( - 135 + 135 ) - 2017
= 0 - 2017
= - 2017
2) - 39 x ( 250 - 87 ) - 61 x ( 240 + 97 )
= - 39 x 163 - 61 x 337
= - 6357 - 20557
= - 26914
3) 65 + 135 - 35 + 9 x 35
= 65 + 135 - 35 + 315
= ( 65 + 315 ) + ( 135 - 35 )
= 380 + 100
= 480
4) - 15 x ( 23 + 157 ) + 15 x 157 - 15 x 7
= 15 x ( - 180 ) + 15 x 157 - 15 x 7
= 15 x ( - 180 + 157 - 7 )
= 15 x ( - 30 )
= - 450
a/ \(=\frac{21}{23}+\frac{125}{143}-\frac{101.21}{101.23}-\frac{1001.125}{1001.143}=0\)
b/ \(=\frac{4}{20}+\frac{8}{21}+\frac{2}{5}-\frac{3}{5}+\frac{2}{21}-\frac{10}{21}+\frac{3}{20}=\frac{7}{20}-\frac{1}{5}=\frac{4}{20}\)
c/ \(\frac{C}{2}=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{420}=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{20.21}\)
\(\frac{C}{2}=\frac{3-2}{2.3}+\frac{4-3}{3.4}+\frac{5-4}{4.5}+...+\frac{21-20}{20.21}=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{20}-\frac{1}{21}\)
\(\frac{C}{2}=\frac{1}{2}-\frac{1}{21}=\frac{19}{42}\Rightarrow C=\frac{19}{21}\)
A=1/1.3 + 1/3.5 + 1/5.7 + 1/7.9 + 1/9.11 + 1/11.13 + 1/13.15
A=1/1 - 1/3 +1/3 - 1/5 +1/5 -1/7+......+1/13 - 1/15
A=1 - 1/15
A=1/14
a)=(4.25).37
=100.37
=3700
b)=(132+868)+(763+237)+29
=1000+1000+29
=2029
c)=72+[131-1.20]
=49+[131-20]
=49+111
=160
1) A=4+2+22+...+220
2A= 8+22+23+...+221
2A-A=(8+22+23+...+221) - (4+2+22+...+220)
A= 8+221-4-2
A= 221+2. K biến đổi thêm đc, u chép sai đề nhé! nếu bỏ số 2 đi thì lam ngon
1) Ta có: B= 4+2+22+23+24+...........+220 (1)
C=4
=> A= B+C
Phân tích B ta lại có:
2B=22+23+24+25+..........+220 (2)
Lấy (2)-(1) ta có:
2B-B=(22+23+24+.........+221)-(2+22+23+..........+220)
=> B=221-2
=> A= 221-2+4
=> A=221+2
( nÊN xem lại đề bạn ạ nên thay chữ số 4=2)
947 nha h cho minh nha