Tính nhanh:
a) A=\(\dfrac{37^3+12^3}{49}\)-37.12
Tính nhanh:
a, \(\dfrac{8}{9}-\dfrac{1}{72}-\dfrac{1}{56}-\dfrac{1}{42}-\dfrac{1}{30}-\dfrac{1}{20}-\dfrac{1}{12}-\dfrac{1}{6}-\dfrac{1}{2}\)
b, \(\left(-\dfrac{1}{4}+\dfrac{7}{35}-\dfrac{5}{3}\right)-\left(-\dfrac{15}{12}+\dfrac{6}{11}-\dfrac{48}{49}\right)\)
a: Ta có: \(\dfrac{8}{9}-\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{72}\right)\)
\(=\dfrac{8}{9}-\left(1-\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{3}-...+\dfrac{1}{8}-\dfrac{1}{9}\right)\)
=0
tính nhanh:
A=3/34 x 10 1/12 x 8/9 x 2 1/8 x 3/13 x 26/37 x 1 9/11 x 3/4
Bài 2: Tính nhanh:
a) \(\dfrac{3}{4}\cdot\dfrac{8}{9}\cdot\dfrac{15}{16}\cdot\dfrac{24}{25}\cdot.....\cdot\dfrac{120}{121}\cdot\dfrac{143}{144}\)
b)\(\dfrac{5}{9}\cdot\dfrac{21}{25}\cdot\dfrac{45}{49}\cdot\dfrac{77}{81}\cdot.....\dfrac{357}{361}\cdot\dfrac{437}{441}\)
ai làm đúng mk dùng 3nick mk tick cho :))))
a) \(A=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.....\dfrac{120}{121}.\dfrac{143}{144}\)
= \(\dfrac{1.3.2.4.3.5.4.6....10.12.11.13}{2^2.3^2.4^2.5^2...11^2.12^2}\)
= \(\dfrac{1.2.12.13}{2^2.12^2}=\dfrac{13}{2.12}=\dfrac{13}{24}\)
b) \(B=\dfrac{5}{9}.\dfrac{21}{25}.\dfrac{45}{49}.\dfrac{77}{81}....\dfrac{357}{361}.\dfrac{437}{441}\)
= \(\dfrac{1.5.3.7.5.9.7.11.....17.21.19.23}{3^2.5^2.7^2....19^2.21^2}=\dfrac{1.3.21.23}{3^2.21^2}\)
= \(\dfrac{23}{3.21}=\dfrac{23}{63}\)
Tính nhanh:
a)A=1+2+3+....+49+50
b)B=2+4+6+8+...+98+100
a: Số số hạng là:
50-1+1=50(số)
Tổng của dãy là:
\(\dfrac{\left(50+1\right)\cdot50}{2}=1275\)
b: Số số hạng là:
(100-2):2+1=50(số)
Tổng của dãy là:
\(\dfrac{\left(100+2\right)\cdot50}{2}=2550\)
a)A=(50+1).50:2=51.50:2=1275
b)B=(100+2).((100-2):2+1):2=98.50:2=2450
Tính:
A = (37^3+12^3)/49-37*12
B = (52^3-48^3)/4+52*48
Bài 2: Tính hợp lý:
\(A=\dfrac{63636337-37373763}{1+2+3+...+2006}\)
\(B=1\dfrac{6}{41}\left(\dfrac{12+\dfrac{12}{19}-\dfrac{12}{37}-\dfrac{12}{53}}{3+\dfrac{1}{3}-\dfrac{3}{37}-\dfrac{3}{53}}:\dfrac{4+\dfrac{4}{17}+\dfrac{4}{19}+\dfrac{4}{2006}}{5+\dfrac{5}{17}+\dfrac{5}{19}+\dfrac{5}{2006}}\right)\dfrac{124242423}{237373735}\)
\(A=\dfrac{636363\cdot37-373737\cdot63}{1+2+3+...+2006}\)
\(=\dfrac{37^2\cdot3^3\cdot7^2\cdot13-37^2\cdot3^3\cdot7^2\cdot13}{\left(2006+1\right)\cdot1003}\)
=0
Tính nhanh:
a) -37 +54 +(- 70)+(- 163)+246
b)-359 +181+(-123)+350+(-172)
c)-69 +53 + 46 +(- 94)+(- 14) + 78
d)13 -12 +11 +10 -9 + 8 -7 -6 +5 - 4 +3 +2 -1
a: =17-70-163+246
=-43-163+246
=246-206
=40
Bài 2: Tính nhanh:
a) 4 x 76 + 76 x 7
b) 4 x 54 + 54 x 2 + 5 x 54
c) 37 + 3 x 37 + 5 x 37 + 2 x 37
a) 4 x 76 + 76 x 7
= (4 + 7) x 76
= 11 x 76
= 836
b) 4 x 54 + 54 x 2 + 5 x 54
= (4 + 4 + 5) x 54
= 13 x 54
= 702
c) 37 + 3 x 37 + 5 x 37 + 2 x 37
= 37 x (3 + 5 + 2)
= 37 x 10
= 370
a) 4 x 76 + 76 x 7
= (4 + 7) x 76
= 11 x 76
= 836
b) 4 x 54 + 54 x 2 + 5 x 54
= (4 + 4 + 5) x 54
= 13 x 54
= 702
c) 37 + 3 x 37 + 5 x 37 + 2 x 37
= 37 x (3 + 5 + 2)
= 37 x 10
= 370
a) 4 x 76 + 76 x 7
= (4 + 7) x 76
= 11 x 76
= 836.
b) 4 x 54 + 54 x 2 + 5 x 54
= (4 + 2 + 5) x 54
= 11 x 54
= 594.
c) 37 + 3 x 37 + 5 x 37 + 2 x 37
= 37 x (3 + 5 + 2 + 1)
= 37 x 11
= 407.
tính nhanh:
A=1+\(\dfrac{1}{1+2}\)+\(\dfrac{1}{1+2+3}\)+...+\(\dfrac{1}{1+2+3+\text{...}+8}\)
giúp mình nhé!!!
\(=\dfrac{2}{2}+\dfrac{2}{6}+\dfrac{2}{12}+...+\dfrac{2}{56}\)
\(=2\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{7}-\dfrac{1}{8}\right)\)
=2*7/8=7/4