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29.31 + 31.37 + 66.69
= (29+37). 31 + 66.69
= 66. 31 + 66. 69
= (69+31). 66
= 100. 66
= 6600
29.31+66.69+31.37
=31.(29+37)+66.69
=31.66+66.69
=66.(31+69)
=66.100
=6600
29.31+66.69+31 . 37
=31 . (29 + 37 ) + 66 . 69
= 31 . 66 + 66 . 69
= 66 . ( 31 + 69 )
= 66 . 100
=6600
k mink nha !
TÍNH A SẼ BÍT
TA CÓ:A=2/3x3/60x63+2/3x3/63x66+2/3x3/66x69+.....+2/3x3/117x120
A=2/3x(3/60x63+3/63x66+3/66x69+.....+3/117x120
A=2/3x(3/60-3/63+3/63-3/66+3/66-3/69+....+3/117-3/120)
A=2/3x(3/60-3/120)
A=2/3x1/40
A=2/120=1/60
1/60 VA 2/2011
1/60 >2/2011
a/
\(A=1.2+1.2+2.3+2.2+3.4+3.2+...+66.67+66.2=\)
\(=\left(1.2+2.3+3.4+...+66.67\right)+2\left(1+2+3+...+66\right)\)
Đặt
\(B=1+2+3+...+66=\dfrac{66\left(1+66\right)}{2}=2211\)
Đặt
\(C=1.2+2.3+3.4+...+66.67\)
\(3C=1.2.3+2.3.3+3.4.3+...+66.67.3=\)
\(=1.2.3+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+66.67.\left(68-65\right)=\)
\(=1.2.3-1.2.3+2.3.4-2.3.4+3.4.5-...-65.66.67+66.67.68=\)
\(=66.67.68\Rightarrow C=\dfrac{66.67.68}{3}=22.67.68\)
\(\Rightarrow A=C+2B\) Bạn tự tính nhé
b/
\(B=2\left(1.50+2.49+3.48+...+25.26\right)=\)
Ta có
\(C=1.50+2.49+3.48+...+25.26=\)
\(\left(50-49\right).50+\left(50-48\right).49+\left(50-47\right).48+...+\left(50-25\right).26=\)
\(=50.50-49.50+50.49-48.49+50.48-47.48+50.26-25.26=\)
\(=50.\left(26+27+28+...+50\right)-\left(25.26+26.27+27.28+...+49.50\right)\)
Ta có
\(D=26+27+28+...+50=\dfrac{25.\left(26+50\right)}{2}=950\)
Ta có
\(E=25.26+26.27+27.28+...+49.50\)
\(3E=25.26.3+26.27.3+27.28.3+...+49.50.3=\)
\(=25.26.\left(27-24\right)+26.27.\left(28-25\right)+...+49.50.\left(51-48\right)=\)
\(=-24.25.26+25.26.27-25.26.27+26.27.28-...-48.49.50+49.50.51=\)
\(=49.50.51-24.25.26\)
\(\Rightarrow E=\dfrac{49.50.51-24.25.26}{3}\)
\(\Rightarrow C=50D-E\)
\(B=2C\)
Bạn tự tính nhé
Bài 1 a, \(17.25\)
\(=\left(1+16\right).25\)
\(=1.25+16.25\)
\(=25+4.4.25\)
\(=25+4.100\)
\(=25+400\)
\(=425\)
b, Bạn kia làm rồi nhé!
c, \(29.31+66.69+31.37\)
\(=31.\left(29+37\right)+66.99\)
\(=31.66+66.69\)
\(=66\left(31+69\right)\)
\(=66.100\)
\(6600\)
34.28+34.82+66.69+66.41
=34.(28+82)+66.(69+41)
=34.110+66.110
=110.(34+66)
=110.100
=11000