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500 × 4 × 2 × 25 - 500 × 3 × 2 × 30
= 500 × (4 × 2 × 25) - 500 × (3 × 2 × 30)
= 500 × 200 - 500 × 180
= 500 × (200 - 180)
= 500 × 20
= 10000
a ) y : 102 = 203 ( dư 101 )
y=203x102+101
y=20 706+101
y=20 807
b ) 25 x y x 4 = 500
25xy=500:4
25xy=125
y=125:25
y=5
\(a.\dfrac{12+x}{42}=\dfrac{35}{42}\Leftrightarrow12+x=35\Leftrightarrow x=23\)
\(b.\dfrac{25-x}{40}=\dfrac{3}{8}\Leftrightarrow\dfrac{25-x}{40}=\dfrac{15}{40}\Leftrightarrow25-x=15\Leftrightarrow x=10\)
\(c.\dfrac{13+x}{20}=\dfrac{3}{4}\Leftrightarrow\dfrac{13+x}{20}=\dfrac{15}{20}\Leftrightarrow13+x=15\Leftrightarrow x=2\)
\(d.\dfrac{23-x}{25}=\dfrac{20}{25}\Leftrightarrow23-x=20\Leftrightarrow x=3\)
k) 4 x 113 x 25 - 5 x 112 x 20
= (4 x 25) x 113 - (5 x 20) x 112
= 100 x 113 - 100 x 112
= 100 x (113 - 112)
= 100
p) 1235 x 6789 x (630 - 315 x 2) : 1996
= 1235 x 6789 x (630 - 630) : 1996
= 1235 x 6789 x 0 : 1996
= 0
l) 54 x 113 + 45 x 113 + 113
= 113 (54 + 45 + 1)
= 113 x 100
= 11300
u) (500 x 9 - 250 x 18) x (1 + 2 + 3 + ... + 9)
= (2 x 250 x 9 - 250 x 2 x 9) x (1 +2 + 3 + ... + 9)
= 0 x (1 + 2 + 3 + ... + 9)
= 0
500x6+500x4-108:12:9
=500x(6+4)-9:9
=500x10-1
=5000-1
=4999
9782x35-9782x25+1000:5:2
=9782x(35-25)+200:2
=9782x10+100
=97820+100
=97920
37800:25:4+57+467x43
=1512:4+57+20081
=378+57+20081
=435+20081
=20516