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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
24 x 32 - 43 + 58 x 78 - 98 x 123
= 768 - 43 + 4524 - 12054
= - 6805
24 x 32 - 43 + 58 x 78 - 98 x 123
= 768 - 43 + 4524 - 12054
= - 6805
\(B=\frac{10}{18}\times\frac{22}{30}\times\frac{36}{44}\times...\times\frac{200}{209}=\frac{1\times10}{2\times9}\times\frac{2\times11}{3\times10}\times\frac{3\times12}{4\times11}\times...\times\frac{10\times20}{11\times19}\)
\(=\frac{1\times10\times2\times11\times3\times12\times...\times10\times20}{2\times9\times3\times10\times4\times11\times...\times11\times19}=\frac{\left(1\times2\times3\times...\times10\right)\times\left(10\times11\times12\times...\times20\right)}{\left(2\times3\times4\times...\times11\right)\times\left(9\times10\times11\times...\times19\right)}\)
\(=\frac{1\times20}{11\times9}=\frac{20}{99}\)
Sửa đề \(C=\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{16}\right)\times...\times\left(1-\frac{1}{100}\right)\)
\(=\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times...\times\frac{99}{100}=\frac{3\times8\times15\times...\times99}{4\times9\times16\times...\times100}=\frac{1\times3\times2\times4\times3\times5\times...\times9\times11}{2\times2\times3\times3\times4\times4\times...\times10\times10}\)
\(=\frac{\left(1\times2\times3\times....\times9\right)\times\left(3\times4\times5\times...\times11\right)}{\left(2\times3\times4\times...\times10\right)\times\left(2\times3\times4\times...\times10\right)}=\frac{1\times11}{10\times2}=\frac{11}{20}\)
a; 100% : \(x\) - 50% : \(x\) + 40% : \(x\) = 18 + 30% : \(x\)
(100% - 50% + 40%): \(x\) = 18 + 30% : \(x\)
90% : \(x\) = 18 + 30% : \(x\)
90%: \(x\) - 30%: \(x\) = 18
60% : \(x\) = 18
\(x\) = 60% : 18
\(x\) = \(\dfrac{1}{30}\)
24 × 66 - 24 + 36 × 24
= 24 × (66 - 1 + 36)
= 24 × 101
= 24 × (100 + 1)
= 24 × 100 + 24
= 2400 + 24
= 2424
\(..=24x\left(66-1+36\right)=24.\left(65+35+1\right)=24.\left(100+1\right)=2400+24=2424\)
41 x 36 + 59 x 90 + 41 x 84 + 59 x 30
= 41 x (36 + 84) + 59 x (90 + 30)
= 41 x 120 + 59 x 120
= 120 x (41 + 59)
= 120 x 100
= 12000
41 x 36 + 59 x 90 + 41 x 84 + 59 x 30
= 41 x ( 36 + 84 ) + 59 x ( 90 + 30 )
= 41 x 120 + 59 x 120
= 120 x ( 41 + 59 )
= 120 x 100
= 12 000
đs : 2.28571428571 nha