6 x 1/3 + 0,75 + 3/4 : 0,25
Bài 1: Tính
1) 2,75 - 5/6 × 2/5
2) 1,25 - ( 5/6 - 0,75 ) - 3/5
3) 4/9 × 0,75 + 8/5 + 3,125
4) 1,125 - 4/7 - 0,12
5) (1/3 + 0,4) × 3,5 + (1/6 + 0,75) × 6/5
Bài 2: Tìm x, biết
1) 1,25 × x - 0,75 = 1/3
2) x - 0,25 × 2/9 = 1/6 × 0,5
3) 3,375 × 8/9 - x = 5/6
4) 1,75 × 4/5 + x = 4,5
1) 2,75 - 5/6 × 2/5 = 2,75 - (5/6) × (2/5) = 2,75 - 1/3 = 2,75 - 0,33 = 2,42
2) 1,25 - (5/6 - 0,75) - 3/5 = 1,25 - (5/6 - 0,75) - 3/5 = 1,25 - (5/6 - 3/4) - 3/5 = 1,25 - (5/6 - 9/12) - 3/5 = 1,25 - (10/12 - 9/12) - 3/5 = 1,25 - 1/12 - 3/5 = 1,25 - 0,08 - 0,6 = 1,25 - 0,68 = 0,57
3) 4/9 × 0,75 + 8/5 + 3,125 = (4/9) × 0,75 + 8/5 + 3,125 = 0,44 + 8/5 + 3,125 = 0,44 + 1,6 + 3,125 = 0,44 + 4,725 = 5,165
4) 1,125 - 4/7 - 0,12 = 1,125 - (4/7) - 0,12 = 1,125 - 0,57 - 0,12 = 0,435 - 0,12 = 0,315
5) (1/3 + 0,4) × 3,5 + (1/6 + 0,75) × 6/5
3/4 x 0,25 +0,75 x 1,25 - 0,75 x 1/2 SOS
= 0,75 x 0,25 + 0,75 x 1,25 - 0,75 x 0,5
= 0,75 x ( 0,25 + 1,25 - 0,5 )
= 0,75 x 1
= 0,75
a) 6 x 1/3 ( một phần ba ) + 0,75 + 3/4 : 0,25
b) 19,5 x 2,2 + 8,8 x 19,5 - 19,5
\(a,6\cdot\frac{1}{3}+0,75+\frac{3}{4}:0,25\)
\(< =>6\cdot\frac{1}{3}+\frac{3}{4}+\frac{3}{4}:\frac{1}{4}\)
\(< =>2+\frac{3}{4}:\frac{1}{4}\)
\(< =>2+3\)
\(< =>5\)
\(b,19,5\cdot2,2+8,8\cdot19,5-19,5\)
\(< =>42,9+171,6-19,5\)
\(< =>214,5-19,5\)
\(< =>195\)
1. | 4-2x | . 1/3 = 1/3
2. (-3)² : | x+(-1) | = (-3)
3. | 3/2 -x | + (-4/5) = -14/5
4. (-4/3) - | 2x + (-1) | = -7/3
5. -9 . | 36 - x/2 | = (-54)
6. 0,75 - | (-x) + 1/3 | = 0,25
7. (-6/5) + | x-9 |= (-6/5)
8. (-4) . | 3x - 1/5 | = 12
1) \(\left|4-2x\right|.\dfrac{1}{3}=\dfrac{1}{3}\)
\(\left|4-2x\right|=\dfrac{1}{3}:\dfrac{1}{3}\)
\(\left|4-2x\right|=\dfrac{1}{3}.3\)
\(\left|4-2x\right|=1\)
=>\(4-2x=\pm1\)
+)\(TH1:4-2x=1\) +)\(TH2:4-2x=-1\)
\(2x=4-1\) \(2x=4-\left(-1\right)\)
\(2x=3\) \(2x=4+1\)
\(x=3:2\) \(2x=5\)
\(x=1,5\) \(x=5:2\)
Vậy x=1,5 \(x=2,5\)
Vậy x=2,5
2) \(\left(-3\right)^2:\left|x+\left(-1\right)\right|=-3\)
\(9:\left|x+\left(-1\right)\right|=-3\)
\(\left|x+\left(-1\right)\right|=9:\left(-3\right)\)
\(\left|x+\left(-1\right)\right|=-3\)
=> \(x+\left(-1\right)\) sẽ không có giá trị nào ( Vì giá trị tuyệt đối luôn luôn lớn hơn hoặc bằng 0 )
Vậy x = \(\varnothing\)
3) \(\left|\dfrac{3}{2}-x\right|+\left(-\dfrac{4}{5}\right)=-\dfrac{14}{5}\)
\(\left|\dfrac{3}{2}-x\right|=\left(-\dfrac{14}{5}\right)-\left(-\dfrac{4}{5}\right)\)
\(\left|\dfrac{3}{2}-x\right|=\left(-\dfrac{14}{5}\right)+\dfrac{4}{5}\)
\(\left|\dfrac{3}{2}-x\right|=-\dfrac{10}{5}\)
\(\left|\dfrac{3}{2}-x\right|=-2\)
=> \(\dfrac{3}{2}-x\) không có giá trị nào thỏa mãn ( Vì giá trị tuyệt đối không thể là số nguyên âm )
Vậy x=\(\varnothing\)
1. | 4-2x | . 1/3 = 1/3
2. (-3)² : | x+(-1) | = (-3)
3. | 3/2 -x | + (-4/5) = -14/5
4. (-4/3) - | 2x + (-1) | = -7/3
5. -9 . | 36 - x/2 | = (-54)
6. 0,75 - | (-x) + 1/3 | = 0,25
7. (-6/5) + | x-9 |= (-6/5)
8. (-4) . | 3x - 1/5 | = 12
Tính bằng cách thuận tiện nhất 3/4 x 0,25 + 0,75 x 1,25 - 0,75 x 1/2
=3/4.0,25+3/4.1,25-3/4.0,5
=3/4.(0,25+1,25-0,5)
=3/4.10
=15/2
`3/4.0,25+3/4.1,25-3/4.0,5`
`=3/4.(0,25+1,25-0,5)`
`=3/4xx10=15/2`
a , 3 phần 4 : x phần 6 = 0,75
b , [ 15 x 19 - x - 0,15 ] : 0,25 = 15 : 0,25
c , [ x + 1,1 ] + [ x + 2,2 ] + [ x + 3,3 ] + ... + [ x + 13,2 ] = 119 , 4
Tính nhanh:
136,78 x 1/4 : 0,25 - 136,78 x 1/2 : 0,5 + 136,78 x 3/4 : 0,75
=136,78*1-136,78*1+136,78*1
=136,78
1) ( 0,25 - x ) : -3/5 = -3/4
2) -3/8x - 0,75 = -1 1/2
3) 3/5x + 2/3 = 2 2/3
1, (0,25 - \(x\)) : - \(\dfrac{3}{5}\) = - \(\dfrac{3}{4}\)
0,25 - \(x\) = - \(\dfrac{3}{4}\) x (- \(\dfrac{3}{5}\))
0,25 - \(x\) = \(\dfrac{9}{20}\)
\(x\) = 0,25 - 0,45
\(x\) = - 0,2
2, - \(\dfrac{3}{8}\)\(x\) - 0,75 = - 1\(\dfrac{1}{2}\)
- \(\dfrac{3}{8}\)\(x\) - 0,75 = -1,5
\(\dfrac{3}{8}\)\(x\) = - 0,75 + 1,5
\(\dfrac{3}{8}\)\(x\) = 0,75
\(x\) = 0,75 : \(\dfrac{3}{8}\)
\(x\) = 2
3, \(\dfrac{3}{5}\)\(x\) + \(\dfrac{2}{3}\) = 2\(\dfrac{2}{3}\)
\(\dfrac{3}{5}\)\(x\) + \(\dfrac{2}{3}\) = \(\dfrac{8}{3}\)
\(\dfrac{3}{5}\)\(x\) = \(\dfrac{8}{3}\) - \(\dfrac{2}{3}\)
\(\dfrac{3}{5}\)\(x\) = 2
\(x\) = 2 : \(\dfrac{3}{5}\)
\(x\) = \(\dfrac{10}{3}\)