12:6, 7:6, 100000000000000000:9, 79:8, 92:9
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`a,`
`31/23-(7/32+8/23)`
`=31/23-7/32-8/23`
`=(31/23-8/23)-7/32`
`=1-7/32=25/32`
`b,`
`38/45-(8/45-17/51-3/11)`
`=38/45-8/45+17/51+3/11`
`= (38/45-8/45)+17/51+3/11`
`=2/3+17/51+3/11`
`=1+3/11=14/11`
`c,`
`(1/3+12/67+13/41)-(79/67-28/41)`
`= 1/3+12/67+13/41-79/67+28/41`
`= 1/3+(12/67-79/67)+(13/41+28/41)`
`= 1/3+(-1)+1=1/3+(-1+1)=1/3+0=1/3`
`d,`
`1/5+(-1/6)+1/7+(-1/8)+1/9+1/8+(-1/7)+1/6+(-1/5)`
`= (1/5+ -1/5)+(-1/6+1/6)+(1/7+ -1/7)+(-1/8 +1/8)+1/9`
`= 0+0+0+0+1/9=1/9 .`
1 + 2 - 3 -4 + 5 + 6 -7 -8 + ... +97 +98 -99 -100 ( có: ( 100 - 1 ) : 1 + 1 = 100 )
= ( 1 +2 - 3 - 4 ) + ( 5 + 6 - 7 -8 ) + ... ( 97 + 98 - 99 +100 ) ( có 100 : 4 = 25 cặp )
= - 4 + -4 + -4 + ... + -4 ( có 25 số hạng )
= ( -4 ) . 25
= -100
a)\(12-\left[25+\left(6+3\right)^2\right]\)
\(=12-\left[25+9^2\right]\)
\(=12-\left[25+81\right]\)
\(=12-106\)
\(=\left(-94\right)\)
b) \(315-\left(8^6\div8^4-12.3+7+7^3\right)\)
\(=316-\left(8^2-36+7+343\right)\)
\(=316-\left(64-43+343\right)\)
\(=316-\left(21+343\right)\)
\(=316-364\)
\(=\left(-48\right)\)
\(a,\left(36+79\right)+\left(145-79-36\right)\)
\(=36-36+79-79+145\)
\(=145\)
6)(36+79)+(145-79-36)
= 36+79+145-79-36
= (36-36)+(79-79)+145
=145
7)3.10-[12-(-9-1)]
=30-(12-9+1)
=30-12+9-1
=26
8)45-5.(12+9)
=45-60-45
=(45-45)-60
=0-60
=-60
9)24.(16-5)-16.(24-5)
=24.16-14.5-16.24+16.5
=16.5-14.5
=5(16-14)
=5.2
=10
10)-23.63+23.21-58.23
= 23(-63+21-58)
=23.-100
=-2300
11)[(-851)+5924]+[(-5924)+851]
=-851+5924-5924+851
=(-851+851)+(5924-5924)
=0+0
=0
Phương pháp giải:
Tính nhẩm từ trái sang phải rồi điền kết quả vào chỗ trống.
Lời giải chi tiết:
15 − 7 + 8 = 16 | 6 + 7 − 9 = 4 | 12 − 5 + 7 = 14 |
17 − 9 + 8 = 16 | 9 + 6 − 7 = 8 | 14 − 5 + 3 = 12 |
8 + 8 − 9 = 7 | 17 − 8 + 6 = 15 | 6 + 9 − 9 = 6 |
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a) 2/9 - (1/20 + 2/9)
= 2/9 - 1/20 - 2/9
= (2/9 - 2/9) - 1/20
= 0 - 1/20
= -1/20
b) -3/14 + 2/13 + (-25/14) + (-15/13)
= (-3/14 - 25/14) + (2/13 - 15/13)
= -2 - 1
= -3
c) -3/11 + 11/8 - 3/8 + (-8/11)
= (-3/11 - 8/11) + (11/8 - 3/8)
= -1 + 1
= 0
d) 3/8 + (-1/4) - (7/12 - 1/6)
= 1/8 - 5/12
= -7/24
e) (1/3 + 12/67 + 13/41) - (79/67 - 28/41)
= 1/3 + 12/67 + 13/41 - 79/67 + 28/41
= 1/3 + (12/67 - 79/67) + (13/41 + 28/41)
= 1/3 - 1 + 1
= 1/3
12:6=2 nha
7:6=1.166 666 666 67 nha
=1.111 1111e+16 nha
79:8=9.875 nha
92:9=10.222 222 222 2 nha