chứng minh N=11+22+33+44+55+66+77+88+99+2021.60021 chia hết cho 9
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11+22=33
22+33=55
33+44=77
44+55=99
55+66=121
66+77=143
77+88=165
88+99=187
99+100=199
11+22=33
22+33=55
33+44=77
44+55=99
55+66=121
66+77=143
77+88=165
88+99=187
99+100=199
chúc bn hok tốt
tk+kb vs mk nha m.n!
c.ơn m.n nhìu!
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11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
= ( 11 + 22) + ( 33 + 44) + ( 55 + 66) + (77 + 88) + 99
= 33 + 77 + 121 + 165 + 99
= 495
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\(100-99+88-77+66-55+44-33+22-11\\ =\left(100-99\right)+\left(88-77\right)+\left(66-55\right)+\left(44-33\right)+\left(22-11\right)\\ =1+11+11+11+11\\ =1+11\times4\\ =1+44\\ =45\)
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11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99 + 111
= (11 + 99) + (22+88) + (33+77) + (44+66) + 55 + 111
= 110 * 4 + 55 + 111
= 440 + 55 + 111
= 606
duyệt nhanh
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TL ;
N = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99 + 20211 . 60021
N = 20211 : 11 - 60021
N = 2020 - 600
N = 1420 + 33 + 44 + 55
N = 1420 + 27 + 254 + 625
N = 5726
N=(11+88)+(22+77)+(33+66)+(44+55)+99+(2021.6669.9)
N=99+99+99+99+99+(2021.6669.9)
Vì 99chia hết 9
=>(99+99+99+99+99)chia hết cho 9
mà 9 chia hết cho 9
=>2021.6669.9 chia hết cho 9
=>N chia hết cho 9