A = 2/1*5 + 2/5*9 + ... + 2/101*105

   = 1/2(4/1*5 + 4/5*9 + ... + 4/101*105)

   = 1/2(1 - 1/5 + 1/5 - 1/9 + ... + 1/101 - 1/105)

   = 1/2(1 - 1/105)

   = 1/2 * 104/105 = 52/105

Sửa câu b. Phân số thứ 2 phải là 4/5*8

B = 4/2*5 + 4/5*8 + ... + 4/47*50

   = 4/3(3/2*5 + 3/5*8 + ... + 3/47*50)

   = 4/3(1/2 - 1/5 + 1/5 - 1/8 + ... + 1/47 - 1/50)

   = 4/3(1/2 - 1/50)

   = 4/3 * 24/50 = 16/25

1) 125.(-24) + 24.225.

\(=24\left(-125+225\right)=24.100=2400.\)

2) 512.(2 – 128) – 128. (-512).

\(=512\left(2-128+128\right)=512.2=1024.\)

47. (23 + 50)- 23. ( 47+50 )

= 47. 23+ 47. 50- 23. 47 - 23. 50

=47. 50 - 23. 50

= 50 .( 47 -23)

=50. 24 = 1200

(-33 ). (-5) - 33 . 4 + 33

= 33 ( 5 - 4 + 1)

=33 . 2 = 66

7: =-1+8=7

6: \(=-\left(8\cdot125\right)\cdot\left(2\cdot5\right)\cdot\left(25\cdot4\right)=-1000000\)

5: =-50+19+143+79-25-48

=-75+98+95

=23+95

=118

4: =37x9+17x9-35x9-35x11

=18+153-385

=-214

3: =187-23-20+180

=367-43

=324

4: \(=37\cdot9+17\cdot9-35\cdot9-35\cdot11=19\cdot9-385\)

\(=171-385=-214\)

5: =-50+19+143+79-25-48

=-75+94+95

=20+94

=114

3 ; 324

4 ; -214

5 ; 118

6 ; - 1 000 000

7 ; 7

học tốt

1: \(5\cdot25\cdot2\cdot16\cdot4=10\cdot25\cdot4\cdot16=10\cdot100\cdot16=16000\)

2: \(25\cdot5\cdot4\cdot2\cdot27\)

\(=25\cdot4\cdot5\cdot2\cdot27\)

\(=100\cdot10\cdot27=27000\)

3: \(2^3\cdot17-2^3\cdot17=2^3\left(17-17\right)=0\)

4: \(58\cdot75+58\cdot50-58\cdot25\)

\(=58\left(75+50-25\right)\)

\(=58\cdot100=5800\)

7: \(5\cdot23+35\cdot41+64\cdot65\)

\(=5\left(23+7\cdot41\right)+64\cdot65\)

\(=5\cdot310+64\cdot65=1550+4160=5710\)

\(50-\left[\left(50-2^3.5\right):2+3\right]\)

\(=50-\left[\left(50-8.5\right):2+3\right]\)

\(=50-\left[10:2+3\right]\)

\(=50-8\)

\(=42\)

\(50-\left[\left(50-2^3.5\right):2+3\right]=50-\left[\left(50-8.5\right):2+3\right]=50-\left(10:2+3\right)=50-8=42\)

f: =20:4+5

=5+5

=10

e: =125-100=25

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