2/3+-3/4+5/6
K
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5 tháng 7 2023
1: =1/8*9/4=9/32
2: =8/27*243/32=9/4
3: =(5/4*4/5)^5*(4/5)^2=16/25
4: \(=\left(-\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^2\cdot\left(\dfrac{6}{5}\right)^2=\dfrac{36}{25}\)
5: \(=\left(-\dfrac{4}{3}\right)^3\cdot\left(\dfrac{3}{4}\right)^{10}=\left(-1\right)\left(\dfrac{3}{4}\right)^7=-\left(\dfrac{3}{4}\right)^7\)
6: \(=\left(\dfrac{1}{3}\cdot\dfrac{-9}{2}\right)^4\left(-\dfrac{9}{2}\right)^2=\left(-\dfrac{3}{2}\right)^4\cdot\dfrac{81}{4}=\dfrac{9}{4}\cdot\dfrac{81}{4}=\dfrac{729}{16}\)
8: =(0,2*5)^4*5^2=25
10: =-0,5^5*2^10
=-0,5^5*2^5*2^5
=-32
13: =(0,5*2)^2*2^2=4
24 tháng 8 2023
5: \(=3-\dfrac{1}{4}+\dfrac{2}{3}-5+\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\)
\(=3-5-6+\dfrac{-1}{4}+\dfrac{7}{4}+\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{6}{5}-\dfrac{3}{2}\)
\(=-8+\dfrac{3}{2}+1+\dfrac{-3}{10}\)
\(=-7+\dfrac{15-3}{10}=-7+\dfrac{6}{5}=-\dfrac{29}{5}\)
6: \(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)
\(=6-5-3-\dfrac{2}{3}-\dfrac{5}{3}+\dfrac{7}{3}+\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\)
\(=-2-\dfrac{1}{2}=-\dfrac{5}{2}\)
7: \(=\dfrac{5}{3}-\dfrac{3}{7}+9-2-\dfrac{5}{7}+\dfrac{2}{3}+\dfrac{8}{7}-\dfrac{4}{3}-10\)
\(=9-2-10+\dfrac{5}{3}+\dfrac{2}{3}-\dfrac{4}{3}+\dfrac{-3}{7}-\dfrac{5}{7}+\dfrac{8}{7}\)
=-3+1
=-2
8: \(=8-\dfrac{9}{4}+\dfrac{2}{7}+6+\dfrac{3}{7}-\dfrac{5}{4}-3-\dfrac{2}{4}+\dfrac{9}{7}\)
\(=8+6-3+\dfrac{2}{7}+\dfrac{3}{7}+\dfrac{9}{7}-1-\dfrac{2}{4}\)
\(=11+2-1-\dfrac{1}{2}\)
=11+1/2
=11,5
CM
16 tháng 9 2019
b) Tính theo thứ tự từ trái sang phải.
4 + 5 - 7 = 2 6 - 4 + 8 = 10 10 - 9 + 6 = 7 9 - 4 - 3 = 2
1 + 2 + 6 = 9 3 + 2 + 4 = 9 8 - 2 + 4 = 10 8 - 4 + 3 = 7
3 - 2 + 9 = 10 7 - 5 + 3 = 5 3 + 5 - 6 = 2 2 + 5 - 4 = 3
PT
1
CM
17 tháng 8 2019
Lời giải chi tiết:
| 6 > 5 | 3 < | 6 > 1 | 3 = 3 |
| 6 > 4 | 6 > 3 | 4 > 2 | 3 < 5 |
| 6 > 2 | 6 = 6 | 2 < 6 | 3 < 4 |
KV
25 tháng 9 2023
2) -3(4 - 7) + 5(-3 + 2)
= -3.4 + 3.7 - 5.3 + 5.2
= -12 + 21 -15 + 10
= 31 - 27
= 4
4) -5(2 - 7) + 4(2 - 5)
= -5.2 + 5.7 + 4.2 - 4.5
= -10 + 35 + 8 - 20
= 38 - 30
= 8
\(\dfrac{2}{3}+\dfrac{-3}{4}+\dfrac{5}{6}\)
\(=\dfrac{8}{12}+\dfrac{-9}{12}+\dfrac{10}{12}\)
\(=\dfrac{8}{12}-\dfrac{9}{12}+\dfrac{10}{12}\)
\(=\dfrac{-1}{12}+\dfrac{10}{12}\)
\(=\dfrac{9}{12}=\dfrac{3}{4}\)
\(\dfrac{2}{3}+-\dfrac{3}{4}+\dfrac{5}{6}=\dfrac{8}{12}+\left(-\dfrac{9}{12}\right)+\dfrac{10}{12}=\dfrac{8+\left(-9\right)+10}{12}=\dfrac{9}{12}=\dfrac{3}{4}\)