tính thuận tiện
318*72+159*56
mn giúp mình với
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a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
a) 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89
= ( 12 + 78 ) + ( 23 + 67 ) + ( 34 + 56 ) + ( 45 + 89 )
= 90 + 90 + 90 + 132
= 90 x 3 + 132
= 270 + 132
= 402
b) 125 x 6 x 7 x 8
= 750 x 7 x 8
= 5250 x 8
= 42000
c) ( 56 x 78 + 56 x 47 ) : 7
= 56 x ( 78 + 47 ) : 7
= 56 x 125 : 7
= 7000 : 7
= 1000
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{30}+...+\frac{1}{72}+\frac{1}{81}\)
\(A=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{8\times9}+\frac{1}{81}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{81}\)
\(A=1-\frac{1}{9}+\frac{1}{81}=\frac{73}{81}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{81}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{8.9}+\frac{1}{81}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{81}\)
\(=1-\frac{1}{9}+\frac{1}{81}\)
\(=\frac{8}{9}+\frac{1}{81}\)
\(=\frac{73}{81}\)
12,12 x 7,5 + 12,12 : 2 + 12,12 + 12,12
= 12,12 x 7,5 + 12,12 x 0,5 + 12,12 x 1 + 12,12 x 1
= 12,12 x (7,5 + 0,5 + 1 + 1)
= 12,12 x 10
= 121,2
124 x 36 + 248 x 72
= 124 x 36 + 248 x 2 x 36
= 124 x 36 + 496 x 36
= (124 + 496) x 36
= 620 x 36 = 22320
\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\)
\(=1-\dfrac{1}{10}\)
\(=\dfrac{9}{10}\)
710 x 13,4 - 710 x 1,4 - 710 : 0,5
= 710 x 13,4 - 710 x 1,4 - 710 x 2
= 710 x ( 13,4 - 1,4 - 2 )
= 710 x 10
= 7100
710 x 13,4 - 710 x 1,4 - 710 : 0,5
= 710 x 13,4 - 710 x 1,4 - 710 x 2
= 710 x ( 13,4 - 1,4 - 2)
= 710 x ( 12 -2)
= 710 x 10
= 7 100
318 x 72 + 159 x 2 x 28
= 318 x 72 + 318 x 28
= 318 x (72 + 28) = 318 x 100 = 31800
159 x 2 x 72 + 159 x 56
= 159 x ( 144 + 56 )
= 159 x 200
= 31800