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3. Tính: 8,79 x 10 = 87,9
3,32 x 100 =332
1,234 x 1000 =1234
\((2,5\cdot x+2017)\cdot2018=(7,5+2017)\cdot2018\)
\(\Rightarrow(2,5\cdot x+2017)\cdot2018=4085441\)
\(\Rightarrow2,5\cdot x+2017=2024,5\)
\(\Rightarrow2,5x=7,5\)
\(\Rightarrow x=7,5:2,5=3\)
\(3\frac{1}{5}+\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}\)
\(\Rightarrow\frac{16}{5}+\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}\)
\(\Rightarrow\frac{2}{5}\left[x+\frac{1}{3}\right]=\frac{21}{5}-\frac{16}{5}\)
\(\Rightarrow\frac{2}{5}\left[x+\frac{1}{3}\right]=1\)
\(\Rightarrow x+\frac{1}{3}=\frac{5}{2}\)
\(\Rightarrow x=\frac{13}{6}\)
a) 1,75 : 0,25 + 1,75 : 0,5 + 1,75 : 0,25
= 1, 75 : \(\dfrac{1}{4}\) + 1,75 : \(\dfrac{1}{2}\) + 1,75 : \(\dfrac{1}{4}\)
= 1,75 x 4 + 1,75 x 2 + 1,75 x 4
= 1,75 x (4 + 2 + 4)
= 1,75 x 10
= 17,5
b) 26,3 x 101 - 26 - 0,3
= 26,3 x 101 - (26 + 0,3)
= 26,3 x 101 - 26,3 x 1
= 26,3 x (101 - 1)
= 26,3 x 100
= 2630
c) (200 - 58) x 42 + (100 + 42) x 58
= 142 x 42 + 142 x 58
= 142 x (42 + 58)
= 142 x 100
= 14200
a.35 x 34 + 35 x 38 + 65 x 75 + 45 x 65
= 35 x (34 + 38) + 65 x 75 + 65 x 45
= 35 x 72 + 65 x (75+45)
= 35 x 72 + 65 x 120
= 35 x 72 + 65 x (72 + 48)
= 35 x 72 + 65 x 72 + 65 x 48
= (35+65) x 72 + 65 x 48
= 100 x 72 + 65 x 48
= 7200 + 3120
= 10320
b.39 x 8 + 60 x 2 + 21 x 8
=39 x 8 + 15 x 4 x 2 +21 x 8
= 39 x 8 + 15 x 8 + 21 x 8
=(39 + 15 + 21) x 8
= 75 x 8
= 600
c.58 x 75 + 58 x 50 - 58 + 25
= 58 x 75 + 58 x 50 - 58 x 1 + 25
= 58 x(75+50-1)+25
= 58 x 124 + 25
= 7192 + 25
= 7217
d.125 x 98 - 125 x 46 - 52 x 25
= 25 x 5 x 98 - 25 x 5 x 46 - 25 x 52
= 25 x 490 - 25 x 230 - 25 x 52
= 25 x (490 - 230 - 52)
= 25 x 208
= 5200
(100+42) x42+(200-58)x58
=142x42+142x58
=142x(42+58)
=142x100
=14200
\(\left(100+42\right)\times42+\left(200-58\right)\times58\)
\(=142\times42+142\times58\)
\(=142\times\left(42+58\right)\)
\(=142\times100=14200\)