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(145 x 99 + 145 ) - ( 143 x 102 – 143 × 2 ) + 54 x 47 - 47 x 53 - 20 - 27
= 145 × (99 + 1) – 143 × (102 – 2) + 47 × (54 – 53) – (20 + 27)
= 145 × 100 – 143 × 100 + 47 × 1 – 47
= 100 × (145 – 143) + (47 – 47)
= 100 × 2 + 0
= 200
(145 x 99 + 145 ) - ( 143 x 102 – 143 × 2 ) + 54 x 47 - 47 x 53 - 20 - 27
= 145 × (99 + 1) – 143 × (102 – 2) + 47 × (54 – 53) – (20 + 27)
= 145 × 100 – 143 × 100 + 47 × 1 – 47
= 100 × (145 – 143) + (47 – 47)
= 100 × 2 + 0
= 200
(145 x 99 + 145 ) - ( 143 x 102 – 143 × 2 ) + 54 x 47 - 47 x 53 - 20 - 27
= 145 × (99 + 1) – 143 × (102 – 2) + 47 × (54 – 53) – (20 + 27)
= 145 × 100 – 143 × 100 + 47 × 1 – 47
= 100 × (145 – 143) + (47 – 47)
= 100 × 2 + 0
= 200
= 145 x (99+1) - 143 x ( 102-2) + 47 x ( 54 - 53) -20-27
= 145 x 100 - 143 x 100 + 47 x 1 -20-27
= 100 x ( 145 - 143 ) + 47 - 20 - 27
= 200 + 47 - 20 - 27
= 200
A) 145 x (99 + 1) - 143 x (102 - 1)
= 145 x 100 - 143 x 101 = 145 x 100 - 143 x (100 + 1)
= 100 x (145 - 143) - 143
= 200 - 143 = 57
B) 54 x 47 - 47 x 53 - 20 - 27
= 47 x (54 - 53) - (20 + 27)
= 47 x 1 - 47 = 0
\(32\times47+32\times53\)
\(=32\times\left(47+53\right)\)
\(=32\times100\)
\(=3200\)
\(\frac{47}{53}\div\frac{17}{52}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times\frac{52}{17}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times(\frac{52}{17}-\frac{35}{17)}\)
\(=\frac{47}{53}\times\frac{17}{17}=\frac{47}{53}\times1=\frac{47}{53}\)
a) 78 x 31 + 78 x 24 + 78 x 17 x 22 x 72
= 78 x ( 31 + 24 + 17) x 22 x 72
= 78 x 72 x 22 x 72
= ( 78 + 22 ) x 72
= 100 x 72
= 7200
47 x 298 + 53 x 298
= 298 x (47 + 53)
= 298 x 100
= 29 800
\(47\times298+53\times298=298\times\left(47+53\right)\)
\(=298\times100=29800\)
(53+47)+(1285+2658)
=100+3943
=4043