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Tính nhanh mỗi biểu thức sau:
a, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
= (0 + 20) + (1 + 19) + (2 + 18) + (3 + 17) + (4 + 16) + (5 + 15) + (6 + 14) + (7 + 13) + (8 + 12) + (9 + 11) + 10
= 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 10
= 20 x 10 + 10
= 200 + 10
= 210
b, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x (4 x 9 - 36)
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x (36 - 36)
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 0
= A x 0
= 0
c, (81 - 7 x 9 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= (81 - 63 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= (18 - 18) : (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= 0 :(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
= 0 : A
= 0
d, (6 x 5 + 7 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (30 + 7 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (37 - 37) x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= 0 x (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= 0 x A
= 0
e, (11 x 9 - 100 + 1) : (1 x 2 x 3 x 4 x ... x 10)
= (99 - 100 + 1) : (1 x 2 x 3 x 4 x ... x 10)
= (99 + 1 - 100) : (1 x 2 x 3 x 4 x ... x 10)
= (100 - 100) : (1 x 2 x 3 x 4 x ... x 10)
= 0 : (1 x 2 x 3 x 4 x ... x 10)
= 0 : A
= 0
g, (m : 1 - m x 1) : (m x 2008 + m x 2008)
= (m - m) : (m x 2008 + m x 2008)
= 0 : (m x 2008 + m x 2008)
= 0 : A
= 0
h, (2 + 4 + 6 + 8 + m x n) x (324 x 3 - 972)
= (2 + 4 + 6 + 8 + m x n) x (972 - 972)
= (2 + 4 + 6 + 8 + m x n) x 0
= A x 0
= 0
l, (1 + 2 + 3 + ... + 99) x (13 x 15 - 12 x 15 - 15)
= (1 + 2 + 3 + ... + 99) x (15 x (13 - 12 - 1))
= (1 + 2 + 3 + ... + 99) x (15 x 0)
= (1 + 2 + 3 + ... + 99) x 0
= A x 0
= 0
i, (0 x 1 x 2 x...x 99 x 100) : (2 + 4 + 6 +...+ 98)
= 0 x : (2 + 4 + 6 +...+ 98)
= 0 x A
= 0
k, (0 + 1 + 2 +...+ 97 + 99) x (45 x 3 - 45 x 2 - 45)
= (0 + 1 + 2 +...+ 97 + 99) x (45 x (3 - 2 - 4))
= (0 + 1 + 2 +...+ 97 + 99) x (45 x 0)
= (0 + 1 + 2 +...+ 97 + 99) x 0
= A x 0
= 0
\(\dfrac{x}{5}\) = \(\dfrac{48}{60}\)
\(x\) = \(\dfrac{48}{60}\) \(\times\) 5
\(x\) = 4
\(\dfrac{x}{7}\) = \(\dfrac{16}{56}\)
\(x\) = \(\dfrac{16}{56}\) \(\times\) 7
\(x\) = 2
\(\dfrac{8}{x}\) = \(\dfrac{72}{108}\)
\(x\) = 8 : \(\dfrac{72}{108}\)
\(x\) = 12
\(x\) - \(\dfrac{3}{12}\) = \(\dfrac{35}{84}\)
\(x\) = \(\dfrac{35}{84}\) + \(\dfrac{3}{12}\)
\(x\) = \(\dfrac{2}{3}\)
\(x\times3+x\times2=46750\)
\(=>x\times\left(3+2\right)=46750\)
\(=>x\times5=46750\)
\(=>x=9350\)
______
\(x\times3+x\times5+x=48780\)
\(=>x\times\left(3+5+1\right)=48780\)
\(=>x\times9=48780\)
\(=>x=48780:9\)
\(=>x=5420\)
\(#NqHahh:>\)
X x 3 + X x 2 = 46 750 X x 3 + X x 5 + x = 48780
Xx(3+2) =46 750 X x (3+5+1) =48780
X x 5 = 46 750 X x 9 =48780
X = 46750 :5 X = 48780:9
X = 9350 X = 5420
\(\dfrac{7}{2}-y:\dfrac{4}{5}=\dfrac{3}{4}\)
\(y:\dfrac{4}{5}\) = \(\dfrac{7}{2}\) - \(\dfrac{3}{4}\)
\(y:\dfrac{4}{5}=\dfrac{11}{4}\)
\(y=\dfrac{11}{4}\times\dfrac{4}{5}\)
\(y=\dfrac{11}{5}\)
\(\dfrac{10}{3}-\dfrac{2}{3}:y=\dfrac{1}{9}\)
= \(\dfrac{2}{3}:y=\dfrac{10}{3}-\dfrac{1}{9}\)
= \(\dfrac{2}{3}:y=\dfrac{29}{9}\)
= \(y=\dfrac{2}{3}:\dfrac{29}{9}\)
=\(y=\dfrac{6}{29}\)
a) 5 x 3 x 4 = (5 x 4) x 3
= 20 x 3
= 60
b) 6 x 5 x 7 = (6 x 5) x 7
= 30 x 7
= 210
c) 20 x 9 x 5 = (20 x 5) x 9
= 100 x 9
= 900
d) 2 x 7 x 50 = (2 x 50) x 7
= 100 x 7
= 700
\(\dfrac{2}{5}:x=\dfrac{7}{10}\)
\(x=\dfrac{2}{5}:\dfrac{7}{10}=\dfrac{2}{5}\cdot\dfrac{10}{7}\)
\(x=\dfrac{2\cdot5\cdot2}{5\cdot7}\)
\(x=\dfrac{4}{7}\)
x = 2/5 : 7/10
x = 4/7
HT