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327 x 728 + 327 x 272
= 326 x 728 + 326 x 272 + 272
= 326 x 28728 + 272﴿ + 272
= 326 x 1000 + 272
= 326000 + 272
= 326272
326 x 728 + 327 x272
=326 x 728 + 327 x272 + 272
=326 x(728 +272)+272
=326 x 1000+272
=326000+272
=326272
học tốt
Bài 1:
a: Ta có: 8,5<3,5x<15
mà x là số nguyên
nên \(3,5x\in\left\{10,5;14\right\}\)
hay \(x\in\left\{3;4\right\}\)
b: Ta có: \(\left(3-\dfrac{1}{3}x\right):2+1.5=3\)
=>(3-1/3x):2=1,5
=>3-1/3x=3
=>x=0
`@` `\text {Ans}`
`\downarrow`
`A.`
`x-56 \times 24 = 286`
`x-1344 = 286`
`x=286 + 1344`
`x=1630`
`B.`
`65 \times 54 - x = 1026`
`3510 - x =1026`
`x=3510 - 1026`
`x=2484`
`C.`
`36 \times 84 \div x = 72`
`3024 \div x = 72`
`x=3024 \div 72`
`x=42`
`D.`
`x \div 47 = 326 - 277`
`x \div 47 = 49`
`x= 49 \times 47`
`x=2303`
A. \(x-56\times24=286\\ x-1344=286\\ x=286+1344\\ x=1630\)
B. \(65\times54-x=1026\\ 3510-x=1026\\ x=3510-1026\\ x=2484\)
C. \(36\times84\div x=72\\ 3024\div x=72\\ x-3024\div72\\ x=42\)
D. \(x\div47=326-277\\ x\div47=49\\ x=49\times47\\ x=2303\)
x + 223 = 876 - 326
x + 223 = 550
x = 550 - 223
x = 327
Vậy x = 327
Ta có: \(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+....+\frac{1}{x.\left(x+2\right)}=\frac{50}{101}\)
suy ra: \(\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{50}{101}\)
\(\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{x+2}\right)=\frac{50}{101}\)
\(\frac{1}{1}-\frac{1}{x+2}=\frac{50}{101}:\frac{1}{2}=\frac{100}{101}\)
\(\frac{1}{x+2}=1-\frac{100}{101}=\frac{1}{101}\)
suy ra: \(x+2=101\)
suy ra: \(101-2=99\)
\(a,\Rightarrow9y+280=1225\\ \Rightarrow9y=945\\ \Rightarrow y=105\\ b,\Rightarrow y-798=188\\ \Rightarrow y=986\\ c,\Rightarrow y:5=628\\ \Rightarrow y=3140\)
a: \(9y+35\cdot8=1225\)
\(\Leftrightarrow9y=945\)
hay y=105
b: Ta có: \(y-378-420=188\)
\(\Leftrightarrow y=188+420+378\)
hay y=986
c: Ta có: \(954-\left(y:5\right)=326\)
\(\Leftrightarrow y:5=628\)
hay y=3140
a) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}\right)\)
\(=\dfrac{5}{7}\times1\)
\(=\dfrac{5}{7}\)
b) \(\dfrac{1}{10}+\dfrac{5}{9}+\dfrac{4}{9}+\dfrac{9}{10}-1\)
\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\left(\dfrac{1}{10}+\dfrac{9}{10}-1\right)\)
\(=1+0\)
\(=1\)
c) \(\dfrac{5}{7}\times\dfrac{5}{9}+\dfrac{4}{9}\times\dfrac{5}{7}+\dfrac{2}{7}\)
\(=\dfrac{5}{7}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{2}{7}\)
\(=\dfrac{5}{7}+\dfrac{2}{7}\)
\(=1\)
d) \(\dfrac{2}{7}+\dfrac{2}{8}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{4}{7}\)
\(=\left(\dfrac{2}{8}+\dfrac{1}{4}\right)+\left(\dfrac{2}{7}+\dfrac{1}{7}+\dfrac{4}{7}\right)\)
\(=\left(\dfrac{1}{4}+\dfrac{1}{4}\right)+1\)
\(=\dfrac{1}{2}+1\)
\(=\dfrac{3}{2}\)
e) \(\dfrac{4}{5}+\dfrac{3}{10}+\dfrac{2}{10}+0,7\)
\(=\dfrac{4}{5}+\dfrac{5}{10}+\dfrac{7}{10}\)
\(=\dfrac{4}{5}+\dfrac{12}{10}\)
\(=\dfrac{4}{5}+\dfrac{6}{5}\)
\(=\dfrac{10}{5}\)
\(=2\)
g) \(362\times728+326\times272\)
\(=326\times\left(728+272\right)\)
\(=326\times1000\)
\(=326000\)