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Ta có:
(66-1).(66-2).(66-3)...(66-98).(66-99)
=(66-1).(66-2).(66-3)...(66-65).(66-66).(66-67)...(66-98).(66-99)
=(66-1).(66-2).(66-3)...(66-65).0.(66-67)...(66-98).(66-99)
Tích trên có 1 thừa số là 0=>Tích trên chỉ có thể bằng 0.
Vậy (66-1).(66-2).(66-3)...(66-98).(66-99)=0
ta có trong tích trên sẽ xuất hiện
66-66=9
1 trong các ts trên là 0
nên tích 0
chọn nhé
=(66-1)(66-2)...(66-66)...(66-12354659)
=(66-1)(66-2)...0...(66-12354659)
=0
66 × 25 + 5 × 66 + 66 × 14 + 33 × 66
= 66 × ( 25 + 5 + 14 + 33 )
= 66 × 77
= 5082
Cbht
66 . 25 + 5 . 66 + 66 . 14 + 33 . 66
= 66 ( 25 + 5 + 14 + 33 )
= 66 . 77
= 5082
Học tốt !!!
=))
\(66.25+5.66+66.14+33.66\)
\(=66.\left(25+5+14+33\right)\)
\(=66.77\)
\(=5082\)
a)\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
b)\(\frac{5}{11.16}+\frac{5}{16.21}+...+\frac{5}{61.66}\)
\(=\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+....+\frac{1}{61}-\frac{1}{66}\)
\(=\frac{1}{11}-\frac{1}{66}\)
\(=\frac{5}{66}\)
a,\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
ta có:
\(\frac{1}{1.2}=\frac{2-1}{1.2}=\frac{2}{1.2}-\frac{1}{1.2}=1-\frac{1}{2}\)
\(\frac{1}{2.3}=\frac{3-2}{2.3}=\frac{3}{2.3}-\frac{2}{2.3}=\frac{1}{2}-\frac{1}{3}\)
...
\(\frac{1}{99.100}=\frac{1}{99}-\frac{1}{100}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\)
=\(1-\frac{1}{100}=\frac{99}{100}\)
b,
\(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.16}+...+\frac{5}{61.66}\)
ta có:
\(\frac{5}{11.16}=\frac{16-11}{11.16}=\frac{16}{11.16}-\frac{11}{11.16}=\frac{1}{11}-\frac{1}{16}\)
\(\frac{5}{16.21}=\frac{21-16}{16.21}=\frac{21}{16.21}-\frac{16}{16.21}=\frac{1}{16}-\frac{1}{21}\)
...
\(\frac{5}{61.66}=\frac{66-61}{61.66}=\frac{66}{61.66}-\frac{61}{61.66}=\frac{1}{61}-\frac{1}{66}\)
= \(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\)
=\(\frac{1}{11}-\frac{1}{66}\)=\(\frac{5}{66}\)
a) \(48.19+48.15+134.52\)
\(=48\left(19+15\right)+6968\)
\(=48.34+6968\)
\(=1632+6968\)
\(=8600.\)
b) \(27.121-87.27+73.34\)
\(=27\left(121-87\right)+73.34\)
\(=27.34+73.34\)
\(=34\left(27+73\right)\)
\(=34.100\)
\(=3400.\)
c) \(125.98-125.46-52-25\)
\(=125\left(98-46\right)-52-25\)
\(=125.52-52-25\)
\(=52\left(125-1\right)-25\)
\(=52.124-25\)
\(=6448-25\)
\(=6423.\)
d) \(136.23+136.17-40.36\)
\(=136\left(23+17\right)-40.36\)
\(=136.40-40.36\)
\(=40\left(136-36\right)\)
\(=40.100\)
\(=4000.\)
e) \(66.25+5.66+66.14+33.94\)
\(=33\left(2.50+5.2+14.2+94\right)\)
\(=33\left(50+10+28+94\right)\)
\(=33.182\)
\(=6006.\)
( 66 - 1 ) . ( 66 - 2 ) . ( 66 - 3 ) ...( 66 - 98 ) . ( 66 - 99 )
= ( 66 - 1 ) . ( 66 - 2 ) . ( 66 - 3 ) ...( 66 - 66 )... ( 66 - 98 ) . ( 66 - 99 )
= ( 66 - 1 ) . ( 66 - 2 ) . ( 66 - 3 ) ... 0 ..( 66 - 98 ) . ( 66 - 99 )
= 0
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