a, 2016 * 1024 - (22)5 * 2016
b, 27 * 510 - 33 * 510
c, 25 * 33 * 55
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a) \(3.5^2+15.2^2-26\div2\)
= 3.25 + 15.4 - 13
= 75 + 60 - 13
= 135 - 13
= 122
b) \(5^3.2-100\div4+2^3.5\)
= 125.2 - 25 + 8.5
= 250 - 25 + 40
= 225 + 40
= 265
c)\(6^2\div9+50.2-3^3.33\)
= 36 : 9 + 100 - 9.33
= 4 + 100 - 297
= 104 - 297
= -193
d)\(3^2.5+2^3.10-81\div3\)
= 9.5 + 8.10 - 27
= 45 + 80 - 27
= 125 - 27
= 98
e) \(5^{13}\div5^{10}-25.2^2\)
= 53 - 25.4
= 125 - 100
= 25
f) \(20\div2^2+5^9\div5^8\)
= 20 : 4 + 5
= 5 + 5
= 10
1) 42/35 - [ 33/14 . 21/22 - ( 54/25 : 27/25 - 7/10 )]
= 42/35 - ( 9/4-13/10)
=42/35-19/20
=1/4
2) a) 5/21 . x/34 = 35/102
x/34=35/102 : 5/21
x/34=49/34
=> x=34
Vậy x=34
b) 15/x . 21/13 = 45/91
15/x=45/91 : 21/13
15/x=15/49
=> x=49
Vậy x=49
a, 556892 : 2 =278446
b, 50 + 20 + 11 + 22 + 33 =136
c, 22 + 44 + 55 + 66 + 88 = 275
d, 57 + 43 + 25 + 68 + 75 + 32 =300
Ta có:
\(S=\dfrac{2.8}{1.9}.\dfrac{3.9}{2.10}.\dfrac{4.10}{3.11}...\dfrac{42.48}{41.49}\)
\(S=\dfrac{2.3.4...42}{1.2.3...41}.\dfrac{8.9.10...48}{9.10.11...49}\)
\(S=\dfrac{42}{1}.\dfrac{8}{49}\)
\(S=\dfrac{48}{7}\)
Giải:
\(S=\dfrac{16}{9}.\dfrac{27}{20}.\dfrac{40}{33}.\dfrac{55}{48}.....\dfrac{2016}{2009}.\)
\(=\dfrac{2.8}{1.9}.\dfrac{3.9}{2.10}.\dfrac{4.10}{3.11}.\dfrac{5.11}{4.12}.....\dfrac{42.48}{41.49}.\)
\(=\dfrac{\left(2.3.4.5.....42\right)\left(8.9.10.11.....48\right)}{\left(1.2.3.4.....41\right)\left(9.10.11.12.....49\right)}.\)
\(=\dfrac{2.3.4.5.....42}{1.2.3.4.....41}.\dfrac{8.9.10.11.....48}{9.10.11.12.....49}.\)
\(=42.\dfrac{8}{49}.\)
\(=\dfrac{42.8}{49}.\)
\(=\dfrac{6.8}{7}.\)
\(=\dfrac{48}{7}.\)
Vậy \(S=\dfrac{48}{7}.\)
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a) [ 316 – ( 25 . 4 + 16 )] : 8 – 24
=( 316 – 116 ) : 8 – 24 = 200 ∶ 8 – 24 = 25 – 24 = 1
b) | -15| + (-27) + 8 + | - 23|
= 15 – 27 + 8 + 23 = 19
c) 5 8 : 5 6 + 2 2 . 3 3 - 2010 0 = 5 2 + 4 . 27 – 1 = 25 + 108 – 1 = 132
a) (68 - 8) . 14 + (-27 - 33) . 15
=60.14+(-60).15
=-60.(15-14)
=-60.1
=-60
b) 37 . (55 - 49) - 49 . (55 - 37)
=37.55-37.49-49.55-49.37
=37.55-49.55
=55(37-49)
=55.(-12)
=-660
c) (-4) . 19 . (-8) . (-25) . (125)
=[-4.(-25)].[-8.(-125)].19
=100.1000.19
=1900000
d) 32 . (-125) . 17 . (-25)
=(32.17).[-125.(-25)]
=544.3125
=1700000