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a) 5 + ( -12 ) - 10
= -7 - 10
= -17
b) 25 - ( -17 ) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= 66 - 12
= 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 56 - 4 + 23 + 2 - 32 . 52 : 152
= 52 + 25 - 152 : 152
= 25 + 32 - 1
= 57 - 1
= 56
d) ( -5 - 3 ) . ( 3 - 5 ) : ( -3 + 5 )
= ( -8 ) . ( -2 ) : 2
= -8 . [ ( -2 ) : 2 ]
= -8 . ( -1 )
= 8
a) 5 + ( -12) - 10
= 5 - 12 -10
= -17
b) 25 - ( -17) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= ( 42 - 12) + 24
= 30 + 24 = 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 52 + 25 - 1
= 25 + 32 - 1
= 56
d) ( - 5 - 3) . ( 3 - 5) : ( -3 + 5)
= ( -8) . ( -2) : 2
= 16 : 2
= 8
b) 3^2 . [(5^2 - 3 ) : 11 ] - 2^4 + 2.10^3
= 9 . [(25 - 3 ) : 11 ] - 16 + 2.1000
= 9 . [22 : 11 ] - 16 + 2000
= 9 . 2 - 16 + 2000
= 18 - 16 + 2000
= 2 + 2000
= 2002
(72005 + 72004) : 72004
= 72005 : 72004 + 72004 : 72004
= 72005 - 2004 + 1
= 71 + 1
= 7 + 1
= 8
a) ( 3^5 . 3^7 ) : 3^10 + 5.2^4 - 7^3 : 7
= 3^10 : 3^10 + 80 - 7^2
= 1 + 80 - 49
= 32
A = 21 + 22 + 23 + ..... + 2100
2A = 22 + 23 +24 + ... + 2100 + 2101
2A - A = A = ( 2101 + 2100 + ... + 22 ) - ( 2100 + 299 + ... + 21 )
A = 2101 - 21
A = 2101 - 2
Hok tốt!
a) 5 . 42 – 18 : 32 = 5 . 16 - 18 : 9 = 80 - 2 = 78;
b. 33 . 18 – 33 . 12 = 33 (18 - 12) = 27 . 6 = 162;
c) 39 . 213 + 87 . 39 = 39 . (213 + 87) = 39 . 300 = 11700;
d) 80 – [130 – (12 – 4)2] = 80 - (130 - 82) = 80 - (130 - 64) = 80 - 66 = 14.
a,5*4^2-18:3^2
=5*16-18:9
=80-2
=78
b, 3^3*18-3^3*12
=27*18-27*12
=27(18-12)
=27*6
=162
c,39*213+87*39
=39(213+87)
=39*300
=11700
d,80-[130-(12-4)^2]
=80-(130-8^2)
=80-(130-64)
=80-66
=14
\(2.2^2.2^3.2^4.........2^{100}\)
\(=2^{1+2+3+4+......+100}\)
\(=2^{5050}\)
\(A=1+6+6^2+...+6^{100}\)
\(6A=6+6^2+6^3+...+6^{101}\)
\(6A-A=\left(6+6^2+...+6^{101}\right)-\left(1+6+...+6^{100}\right)\)
\(5A=6^{101}-1\)
\(A=\frac{6^{101}-1}{5}\)
Hoàn toàn tương tự với các câu b) c)
\(A=1+6+6^2+6^3+...+6^{100}\)
\(6A=6+6^2+6^3+6^4+...+6^{101}\)
\(6A-A=\left(6+6^2+6^3+6^4+...+6^{101}\right)-\left(1+6+6^2+...+6^{100}\right)\)
\(5A=6^{101}-1\)
\(A=\frac{6^{101}-1}{5}\)
\(2.11^{25}:11^{23}-3^5:\left(1^{2018}+2^3\right)-60\)
\(=2.\left(11^{25}:11^{23}\right)-3^5:\left(1+8\right)-60\)
\(=2.11^2-3^5:9-60\)
\(=2.121-3^5:3^2-60\)
\(=242-3^3-60\)
\(=242-27-60\)
\(=215-60\)
\(=155\)
a)= 21 + (-21)
= 0
b)=15+4.3
=15+12
=27
c) =8.3+36:12-27
=24+3-27
=27-27
=0