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a. \(0,1\left(2\right)=0+\frac{12-1}{90}=\frac{11}{90};0,1\left(3\right)=0+\frac{13-1}{90}=\frac{12}{90}=\frac{2}{15}\)
=> 0,1(2)+0,1(3)=11/90 + 2/15 = 11/90 + 12/90 = 23/90
b. \(0,7\left(3\right)=0+\frac{73-7}{90}=\frac{66}{90}=\frac{11}{15};0,3\left(7\right)=0+\frac{37-3}{90}=\frac{34}{90}=\frac{17}{45}\)
=> 0,7(3)+0,3(7)=11/15 + 17/45 = 33/45 + 17/45 = 50/45 = 10/9
a)\(0,1\left(2\right)+0,1\left(3\right)\)
=\(0,1+0,0\left(2\right)+0,1+0,0\left(3\right)\)
=\(0,2+0,0\left(1\right).2+0,0\left(1\right).3\)
=\(0,2+0,0\left(1\right).5\)
=\(0,2+\frac{1}{90}.5\)
=\(\frac{3,6}{18}+\frac{1}{18}\)
=\(\frac{4,6}{18}\)
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a) 0,16 + 1,3
= \(\frac{4}{25}+\frac{13}{10}\)
= \(\frac{40}{250}+\frac{325}{250}\)
= \(\frac{73}{50}\)
b) 1,3 + 0,12 . \(2\frac{8}{11}\)
= \(\frac{13}{10}+\frac{3}{25}\times\frac{30}{11}\)
= \(\frac{13}{10}+\frac{18}{55}\)
= \(\frac{143}{110}+\frac{36}{110}\)
= \(\frac{179}{110}\)
c) 0,6 + 1,6
= \(\frac{3}{5}+\frac{8}{5}\)
= \(\frac{11}{5}\)
d) 3,6 + 1,36 \(\times\)\(2\frac{1}{5}\)
= \(\frac{18}{5}+\frac{34}{25}\times\frac{11}{5}\)
= \(\frac{18}{5}+\frac{374}{125}\)
= \(\frac{450}{125}+\frac{374}{125}\)
= \(\frac{824}{125}\)
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a, 30,24 + 30,24 + 30,24 + 30,24 x 7 - 30,24 : 0,1
= 30,24 x 3 + 30,24 x 7 - 30,24 : 0,1
= 30,24 x 10 - 30,24 : 0,1
= 30,24 x 10 - 30,24 x 10
= 0
b, 2 giờ 30 phút x 8 + 2,5 giờ x 3 - 150 phút
= 2,5 giờ x 8 + 2,5 giờ x 3 - 150 phút
= 2,5 giờ x 8 + 2,5 giờ x 3 - 2,5 giờ
= 2,5 giờ x 10
= 25 giờ
c, 1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1
= 1/2 x 2 + 1/4 x 4 + 1/8 x 8 - 1/10 x 10
= 1 + 1 + 1 - 1
= 2
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Sử dụng máy tính và lần lượt thực hiện như sau:
(3,5)2 = 12.25
(-0,12)3 = -0,001728
(1,5)4 = 5,0625
(-0,1)5 = -0,00001
(1,2)6 = 2,985984
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\(\text{Đổi:}0,1\left(6\right)=0+\frac{16-1}{90}=\frac{15}{90}=\frac{1}{6}\)
=> 3-0,1(6)+1/2
= 3-1/6+1/2
= \(\frac{18-1+3}{6}\)
=20/6
=10/3
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\(0,1\left(2\right)=0,1+0,0\left(2\right)=\frac{1}{10}+\frac{0,\left(2\right)}{10}\)
\(=\frac{1}{10}+\frac{0,\left(1\right).2}{10}=\frac{1}{10}+\frac{\frac{1}{9}.2}{10}\)
\(=\frac{1}{10}+\frac{\frac{2}{9}}{10}=\frac{11}{9}.\frac{1}{10}=\frac{11}{90}\)
\(0,1\left(23\right)=0,1+0,0\left(23\right)=\frac{1}{10}+\frac{0,\left(23\right)}{10}\)
\(=\frac{1}{10}+\frac{0,\left(01\right).23}{10}=\frac{1}{10}+\frac{\frac{1}{99}.23}{10}\)
\(=\frac{1}{10}+\frac{\frac{23}{99}}{10}=\frac{122}{99}.\frac{1}{10}=\frac{61}{495}\)
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\(\begin{array}{l}a)2.\sqrt 6 .( - \sqrt 6 )\\ = - 2.\sqrt 6 .\sqrt 6 \\ = - 2.{(\sqrt 6 )^2}\\ = - 2.6\\ = - 12\\b)\sqrt {1,44} - 2.{(\sqrt {0,6} )^2}\\ = 1,2 - 2.0,6\\ = 1,2 - 1,2\\ = 0\\c)0,1.{(\sqrt 7 )^2} + \sqrt {1,69} \\ = 0,1.7 + 1,3 \\= 0,7 + 1,3 \\= 2\\d)( - 0,1).{(\sqrt {120} )^2} - \frac{1}{4}.{(\sqrt {20} )^2} \\= ( - 0,1).120 - \frac{1}{4}.20\\ = - 12 - 5\\ = - (12 + 5)\\ = - 17\end{array}\)
a: \(=-2\sqrt{6}\cdot\sqrt{6}=-2\cdot\sqrt{6\cdot6}=-2\cdot6=-12\)
b: \(=1.2-2\cdot0.6=1.2-1.2=0\)
c: \(=0.1\cdot7+1.3=0.7+1.3=2\)
d: \(=-0.1\cdot120-\dfrac{1}{4}\cdot20=-12-5=-17\)
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0,1(2)=0,1+0,0(1).2=1/10+1/99.2=1/10+2/99=119/990
0,1(3)=0,1+0,0(3)=1/10+1/99.3=1/10+3/99=43/330
0,1(2)+0,1(3)=23/90
0,1(2) + 0,1(3) = 0,1 + 0,0(1) x 2 + 0,1 + 0,0(1) x 3
= (0,1+0,1) + 0,0(1) x 5 = 0,2 + 1/18 = 23/90