Tính:
a) 25
b) 52
c) 24. 32.7
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a, 5 3 + 3 4 + 4 . 2 + 27 - 3 : 4
= 125+170+6
= 301
b, 124 : 3 2 . 7 - 1 10 + 24 : 5 2
= 124:[9.7–(1+24):25]
= 124 : [63–25:25]
= 124:62
= 2
c, 245 - 4 16 : 8 + 2 4 . 3 2 - 9
= 245–4[2+2.27]
= 245–4.45
= 29
d, 375 : 5 3 - 3 8 : 3 6 - 2 . 2 3
= 375 : 125 – (9–16)
= 3–9+16
= 10
a) (–37 ) + (–112)
= –(37 + 112) (cộng hai số nguyên âm).
= –149.
b) (–42) + 52
= 52 – 42 (cộng hai số nguyên khác dấu)
= 10
c) 13 – 31 = –31 + 13 = – (31 – 13) = –18.
d) 14 – 24 – 12 = 14 – (24 + 12) = 14 – 36 = – (36 – 14) = –22.
e) (–25) + 30 – 15 = 30 – 25 – 15 = 30 – (25 + 15) = 30 – 40 = –10
a) 23.25 + 75.23 - 1300
= 23.(25 + 75) - 1300
= 23.100 - 1300
= 2300 - 1300
= 1000
b) 36 : 3² - 5.2²
= 36 : 9 - 5.4
= 4 - 20
= -16
c) 183 + 80 : [20 - 4.(5² - 24)]
= 183 + 80 : [20 - 4.(25 - 24)]
= 183 + 80 : (20 - 4.1)
= 183 + 80 : 16
= 183 + 5
= 188
d) (-125) - [148 + 5.(-25)]
= -125 - (148 - 125)
= -125 - 148 + 125
= (-125 + 125) - 148
= 0 - 148
= -148
a) 23.25 + 75.23 - 1300
= 23. (25+75) - 1300
= 23.100 - 1300
= 2300 - 1300 = 1000
b) 36 : 32 - 5 . 22
= 36: 9 - 5.4
= 4 - 20 = -16
c) 183 + 80 : [ 20 - 4 ( 52 - 24 ) ]
= 183 + 80: [20 - 4.(25-24)]
= 183 + 80 : [20 - 4.1)]
= 183 + 80: [20 - 4]
= 183 + 80:16
= 183 + 5 = 188
d) (-125) - [148 + 5 . (-25) ]
= -125 - 148 + 125
= (125 - 125) - 148
= 0 - 148 = -148
\(3A=3+3^2+3^3+...+3^{21}\\ 2A=3^{21}-1\\ A=\dfrac{3^{21}-1}{2}\\ 5B=5^2+5^3+...+5^{11}\\ 4B=5^{11}-5\\ B=\dfrac{5^{11}-5}{4}\\ 2C=2^5+2^6+...+2^{31}\\ C=2^{31}-2^4\)
\(a,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64,2^7=128,2^8=256,2^9=512,2^{10}=1024\)
\(b,3^2=9,3^3=27,3^4=81,3^5=243\)
\(c,4^2=16,4^3=64,4^4=256\)
\(d,5^2=25,5^3=125,5^4=625\)
a, 36:{336:[200–(12+8.20)]}
= 36:{336:[200–(12+160)]}
= 36:{336:[200–172]}
= 36:{336:28}
= 36:12 = 3
b, {145–[130–(246–236)]:2}.5
= {145–[130–10:2]}.5
= {145–130}.5
= 20.5 = 100
c, 100:{250:[450–(4. 5 3 – 2 2 .25]}
= 100:{250:[450–400]}
= 100:{250:50}
= 100:5 = 20
d, 798+100:[16–2.( 5 2 –22)]
= 798+100:10
= 798+10 = 808
e, (6954+1525:5+47.19).(29–58.2)
= (6954+1525:5+47.19).0 = 0
f, 2 4 .157– 2 4 .58+16
= 16.(157–58+1) = 1600
Tính nhanh : 52 . (-67) - 52 . ( -43 ) + 24 . ( -48 )
-12.7 + (-8) . 7 + 4 . ( -25) + ( -6 ) . ( -25)
Tính nhanh :
52 . (-67) - 52 . (-43) + 24 . (-48)
= 52 . [ (-67) - ( -43) ] + 24 . (-48)
= 52 . (-24) + 24 . (-48)
= (-52) . 24 + 24 . (-48)
= 24 . [ (-52) + (-48) ]
= 24 . (-100)
= - 2400
(-12) . 7 + (-8) . 7 + 4 . (-25) + (-6) . (-25)
= 7 . [ (-12) + (-8) ] + (-100 ) + (-6) . (-25)
= 7 . (-20) - 100 + (-6) . (-25)
= (-140) - 100 + 150
= (-240) + 150
= -90
a)=32
b)=25
c)=1008
HT
a) 25= 2.2.2.2.2 = 4.2.2.2 = 8.2.2 = 16.2 = 32
b) 52 = 5. 5 = 25
c) 24. 32.7 = (2. 2. 2. 2). (3.3).7 = (4. 2. 2). 9. 7 = 8. 2. 9. 7 = 16. 9. 7 = 144. 7 = 1 008.
HT