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123,45 + 23,56 +76,44 + 54,55
= (123,45 + 54,55) + (23,56 + 76,44)
= 178 + 100
= 278
456 x 45 + 456 x 10 + - 456 x 55
=456 x (45 +10-55)
=456 x 0
=0
2,5 x 8,5 + 7,5 x 8,5
=8,5 x (2,5 +7,5)
= 8,5 x 10
= 85
86 x 5 + 86 x 4 + 86
= 86 x (5+4+1)
= 86 x10
860

a) X : 5 + X x\(\frac{1}{10}=0,24\)
X x \(\frac{1}{5}\)+ X x \(\frac{1}{10}=0,24\)
X x \(\left(\frac{1}{5}+\frac{1}{10}\right)\)=0,24
X x \(\frac{3}{10}\)= 0 , 2 4
X =0,8
b) X : 4 - X x \(\frac{1}{100}\)= 0,12
X x \(\frac{1}{4}\)- X x \(\frac{1}{100}\)=0,12
X x \(\left(\frac{1}{4}-\frac{1}{100}\right)\)=0,12
X x \(\frac{6}{25}\)=0,12
X =0,5
a ) x : 5 + x . \(\frac{1}{10}\)= 0,24
x . \(\frac{1}{5}\)+ x . \(\frac{1}{10}\) = 0,24
x . \(\left(\frac{1}{5}+\frac{1}{10}\right)\)= 0,24
x . \(\frac{3}{10}\)= 0,24
x = 0,24 : \(\frac{3}{10}\)
x = 0,8
b ) x : 4 - x . \(\frac{1}{100}\) = 0,12
x . \(\frac{1}{4}\)- x . \(\frac{1}{100}\)= 0,12
x . \(\left(\frac{1}{4}-\frac{1}{100}\right)\)= 0,12
x . \(\frac{6}{25}\)= 0,12
x = 0,12 : \(\frac{6}{25}\)
x = 0,5

a)\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}......\frac{99}{100}\)
\(=\frac{1.2.3.4.....99}{2.3.4.5.6.....100}\)
\(=\frac{1}{100}\)
b) Tương tự như câu a

\(\left(x-5\right).\frac{30}{100}=\frac{20x}{100}+5\)
\(\Leftrightarrow\left(x-5\right).0,3=0,2.x+5\)
\(\Leftrightarrow0,3.x-1,5=0,2.x+5\)
\(\Leftrightarrow0,3.x-0,2.x=5+1,5\)
\(\Leftrightarrow0,1.x=6,5\)
\(\Leftrightarrow x=65\)
\(\frac{\left(x-5\right).30}{100}=\frac{20x}{100}+\frac{500}{100}\)
\(\frac{30x-150}{100}=\frac{20x+500}{100}\)
=> 30x - 150 = 20x + 500
30x - 20x = 500 + 150
10x = 650
x = 65
5544+456:x=100
6000:x=100
x=6000:100
x=60
456 : x + 5 544 : x =100
(456 + 5 544 ) : x =100
6 000 : x = 100
x = 6 000 : 100
x = 60