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Hướng dẫn giải:
a) 3 x (20 – 5)
Cách 1:
3 x (20 – 5) = 3 x 15 = 45
Cách 2:
3 x (20 – 5) = 3 x 20 – 3 x 5 = 60 – 15 = 45
b) 20 x (40 – 1)
Cách 1:
20 x (40 – 1) = 20 x 39 = 780
Cách 2:
20 x (40 – 1) = 20 x 40 – 20 x 1 = 800 – 20 = 780
a) 135 x (20 + 3)
= 135 x 20 + 135 x 3
= 2700 + 405 = 3105
427 x (10 + 8)
= 427 x 10 + 427 x 8
= 4270 + 3416 = 7686
b) 642 x (30 -6)
= 642 x 30 - 642 x 6
= 19260 - 3852 = 15408
287 x (40 -8)
= 287 x 40 - 287 x 8
= 11480 - 2296 = 9184
1) 1/3 x 1/2 x 3/7 = 1/6 x 3/7 = 1/14
2) 5/4 x 1/3 + 1/7 = 5/12 + 1/7 = 47/84
3) 8 x (8/9 - 2/3) = 8 x 2/9 = 16/9
4) 5/6 x 48/20 x 1/2 = 2 x 1/2 = 1
5) (2/5 + 3/4) x 8 = 23/20 x 8 = 46/5
6) 10 x (1/2 - 1/5) = 10 x 3/10 = 3
a,
36 x 40 = (36 x 4) x 10 = 144 x 10 = 1 440
72 x 60 = (72 x 6) x 10 = 432 x 10 = 4 320
89 x 50 = (89 x 5) x 10 = 445 x 10 = 4 450
b,
450 x 70 = (45 x 7) x 100 = 315 x 100 = 31 500
2300 x 500 = (23 x 5) x 10 000 = 115 x 10 000 = 1 150 000
17 000 x 30 = (17 x 3) x 10 000 = 510 000
\((\)125-120\()\)x45
5x45=225
\(\dfrac{30x25x7x8}{75x8x12x14}\)=\(\dfrac{10\cdot1\cdot7\cdot1}{1\cdot1\cdot1\cdot12\cdot2}\)=\(\dfrac{70}{24}\)
1) 1/3 x 1/2 x 3/7 = 3/42 = 1/14
2) 5/4 x 1/3 +1/7 = 5/12 + 1/7 = 35/84 + 12/84 = 47/84
3) 8 x ( 8/9 - 2/3 ) = 8 x 2/9 = 16/9
4) 5/6 x 48/20 x 1/2 = 240/240 = 1
5) ( 2/5 + 3/4 ) + 8 = 23/20 + 8 = 23//20 + 160/20 = 183/20
6) 10 x ( 1/2 - 1/5 ) = 10 x 3/10 = 10/1 x 3/10 = 30/10 = 3
1, (30 x 5 - 24 x 4) x 32 : (30 + 20)
= 54 x 32 : 50
= 1728 : 50
= 34,56
2, (12 x 6 + 108) x 15 + 135 : 45
= 180 x 15 + 135 : 45
= 2700 + 135 : 45
= 2700 + 3
= 2703
3, 807 + 49 x (311 - 4807 : 23)
= 807 + 49 x 102
= 807 + 4998
= 5805
4 , ( 4,72 + 3,57 x 4,1 + 8,5 x 2,434) x 100
= 40,046 x 100
= 4004,6
5, (23,79 : 7,8 - 6,8 : 417) x 3,04 - 2,04
= 2,65 x 3,04 - 2,04
= 8,056 - 2,04
= 6,016
\(20:x+30:x=4:8:x+50\dfrac{1}{2}\)
\(20\times\dfrac{1}{x}+30\times\dfrac{1}{x}=\dfrac{1}{2}:x+\dfrac{101}{2}\)
\(\left(20+30\right)\times\dfrac{1}{x}=\dfrac{1}{2}\times\dfrac{1}{x}+\dfrac{101}{2}\)
\(50\times\dfrac{1}{x}-\dfrac{1}{2}\times\dfrac{1}{x}=\dfrac{101}{2}\)
\(\left(50-\dfrac{1}{2}\right)\times\dfrac{1}{x}=\dfrac{101}{2}\)
\(\dfrac{99}{2}\times\dfrac{1}{x}=\dfrac{101}{2}\)
\(\dfrac{1}{x}=\dfrac{101}{2}:\dfrac{99}{2}=\dfrac{101}{99}\)
\(x=1:\dfrac{101}{99}=\dfrac{99}{101}\)
dấu cộng trước 50 là dấu bằng