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\(a)152,693\cdot560+1526,93\cdot35+15,2693\cdot1900=1526,93\cdot56+1526,93\cdot35+1526,93\cdot19\)
\(=1526,93\cdot\left(56+35+19\right)\)
\(=1526,93\cdot110\) \(\)
\(=1526,93\cdot100+1526,93\cdot10\)
\(=152693+15269,3\)
\(=167962,3\)
\(b)12,6\cdot25+612\cdot2,5+26,2:0,04=126\cdot2,5+612\cdot2,5+262\cdot2,5\)
\(=2,5\cdot\left(126+612+262\right)\)
\(=2,5\cdot1000\)
\(=2500\)
5,7 x ( 179 - 130 ) + ( 3,4 + 2,3 ) x ( 32 + 18 ) + 5,7
= 5,7 x 49 + 5,7 x 50 + 5,7
= 5,7 x ( 49 + 50 + 1 )
= 5,7 x 100
= 570
5,7 x ( 179 - 130 ) + ( 3,4 + 2,3 ) x ( 32 + 18 ) + 5,7
= 5,7 x 49 + 5,7 x 50 + 5,7
= 5,7 x ( 49 + 50 + 1 )
= 5,7 x 100
= 570
Tính bằng cách thuận tiện nhất :
a. 67 x 126 - 67 x 84 - 41 x 67 - 67
= 67 x 126 - 67 x 84 - 41 x 67 - 67 x 1
= 67 ( 126 - 84 - 41 - 1 )
= 67 x 0
=0
b. 36 x 2 x 2 + 7 x 28
= 2 ( 36 x 2 + 14 x 7 )
= 2 x 170
= 340
c. 24 x 18 + 12 x 64
= 12 x 2 x 18 + 12 x 64
= 12 ( 2 x 18 + 64)
= 12 x 100
= 1200
a. 67 x 126 - 67 x 84 - 41 x 67 - 67
= 67 x 126 - 67 x 84 - 41 x 67 - 67 x 1
= 67 ( 126 - 84 - 41 - 1 )
= 67 x 0
=0
b. 36 x 2 x 2 + 7 x 28
= 2 ( 36 x 2 + 14 x 7 )
= 2 x 170
= 340
c. 24 x 18 + 12 x 64
= 12 x 2 x 18 + 12 x 64
= 12 ( 2 x 18 + 64)
= 12 x 100
= 1200
395 x15 +85 x 395
=395 x (15+85)
=395 x 100
=3950
289 x 47 - 289 x 17
=289 x (47-17)
=289 x 30
=8670
2051 x [ 15 - 9]
=2051 x 6
=12306
29 x94 - 2912 x 4
đề sai
395x15+85x395
=395x(15+85)
=395x100
=39500
289x47-289x17
=289x(47-17)
=289x30
=8670
2051x(15-9)
=2051x6
=12306
29x94-2912x4
=2726-11648
=-8922
a, 42x(54+17):71
=42x71:71=42
b, 123x(154-65):89
=123x89:89=123
c,324x(6+4):324
=324x10:324=10x324:324=10
\(a)\left(42\times54+17\times42\right):71\)
\(=42\times54+17\times42:71\)
\(=42\times\left(54+17\right):71\)
\(=42\times71:71\)
\(=42\)
\(b)\left(123\times154-65\times123\right):89\)
\(=123\times154-65\times123:89\)
\(=123\times\left(154-65\right):89\)
\(=123\times89:89\)
\(=123\)
\(c)\left(324\times6+4\times324\right):\left(162\times2\right)\)
\(=324\times6+4\times324:324\)
\(=324\times\left(6+4\right):324\)
\(=324\times10:324\)
\(=3240:324\)
\(=10\)
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\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\frac{1}{486}\)
\(3\times A=\frac{3}{2}+\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}\)
\(3\times A-A=\left(\frac{3}{2}+\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}\right)-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\frac{1}{486}\right)\)
\(2\times A=\frac{3}{2}-\frac{1}{486}\)
\(A=\frac{182}{243}\)