tính bằng cách hợp lí nhất ;
a) 27.62+27.38
b)2.3^2+4.3^3
c)1972-(368+972)
d) 1+3+5.........+99
giúp mih vs nhoa......trl nhanh nha mai mih pải nộp rui
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g: \(\left(-3\right)^4\cdot10=81\cdot10=810\)
i: \(\left(-2\right)\cdot\left(-2\right)\cdot\left(-4\right)\cdot\left(-4\right)\cdot\left(-4\right)\)
\(=-2\cdot2\cdot4\cdot4\cdot4\)
\(=-2^2\cdot2^2\cdot2^2\cdot2^2=-2^8=-256\)
l: \(26\cdot\left(-125\right)-125\cdot\left(-36\right)\)
\(=125\cdot\left(-26\right)+125\cdot36\)
\(=125\left(-26+36\right)\)
\(=125\cdot10=1250\)
n: \(\left(-37\right)\cdot84+37\cdot\left(-16\right)\)
\(=37\cdot\left(-84\right)+37\cdot\left(-16\right)\)
\(=37\left(-84-16\right)=37\cdot\left(-100\right)=-3700\)
1919 2323 × 464646 747474 × 37 19 = 19 23 × 46 74 × 37 19 = 19 × 46 × 37 23 × 74 × 19 = 46 × 37 23 × 74 = 23 × 2 × 37 23 × 37 × 2 = 1
\(72.125.3\)
\(=9.8.125.3\)
\(=\left(8.125\right).\left(9.3\right)\)
\(=1000.27\)
\(=27000\)
97,4 - 13,2 + 113,2 + 2,6
= (97,4 + 2,6) + (-13,2 + 113,2)
= 100 + 100
= 200
1 4 + − 5 13 + 2 11 + − 8 13 + 3 4 = 1 4 + − 5 13 + 2 11 + − 8 13 + 3 4 = 1 4 + 3 4 + − 5 13 + − 8 13 + 2 11 = 1 + ( − 1 ) + 2 11 = 2 11
21 31 + − 16 7 + 44 53 + 10 31 + 9 53 = ( 21 31 + 10 31 ) + ( 44 53 + 9 53 ) + − 16 7 = 1 + 1 + − 16 7 = − 2 7
123 x 456456 - 456 x 123123
= 123 x 456 x 1001 - 456 x 123 x 1001
= 0
Ủng hộ mk nha ^_-
123×456456 - 456×123123
=123 x 456 x 1001 - 123 x 456 x 1001
=0
1) A=\(\dfrac{7}{1.3}+\dfrac{7}{3.5}+\dfrac{7}{5.7}+...+\dfrac{7}{99.101}\)=\(\dfrac{7.2}{1.3.2}+\dfrac{7.2}{3.5.2}+\dfrac{7.2}{5.7.2}+...+\dfrac{7.2}{99.101.2}\)=
\(\dfrac{7}{2}\left(\text{}\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\right)\)=
\(\dfrac{7}{2}\left(\text{}1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)=
\(\dfrac{7}{2}\left(\text{}1-\dfrac{1}{101}\right)\)=\(\dfrac{7}{2}.\dfrac{100}{101}=\dfrac{350}{101}\)
2) A=\(\dfrac{1}{2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+\dfrac{4}{7.11}+\dfrac{5}{11.16}\)=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{16}\)
=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{16}\)=\(1-\dfrac{1}{16}=\dfrac{15}{16}\)
a) 27.62 +27.38 = 27. ( 62 + 38 )
= 27 . 100
= 2700 .
b) 2.3^2 + 4.3 ^3 = 2.3^2 + 2. 2. 3^3
= 2 . ( 3 ^2 + 2 . 3 ^3 )
= 2 . ( 9 + 54 )
= 2 . 63 = 126 .
c ) 1972 - ( 368 + 972 ) = 1972 - 368 - 972
= 1000 - 368
= 632
d ) Số số hạng là :
( 99 - 1 ) : 2 +1 = 50 ( số )
Tổng trên bằng :
( 1 + 99 ) x 50 : 2 = 2475 .
Vậy : 1 + 3 + 5 + ... + 99 = 2475 .
cảm ơn pạn nhìu nhoa...