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a: \(35\cdot20+125:5^2\)
\(=700+\dfrac{125}{25}\)
=700+5
=705
\(=3\cdot5\cdot47\)
b: \(5^2\cdot8-\dfrac{60}{2^2}\)
\(=25\cdot8-\dfrac{600}{4}\)
=200-15
=185
\(=5\cdot37\)
c: \(\dfrac{4500}{15}+3^2\cdot10\)
\(=\dfrac{45}{15}\cdot100+9\cdot10\)
=300+90
=390
\(=2\cdot3\cdot5\cdot13\)
d: \(2724-\left(2^3\cdot3^2-2^4\cdot3\right)\)
\(=2724-8\cdot9+16\cdot3\)
\(=2724+48-72=2700\)
\(=3^3\cdot2^2\cdot5^2\)
a, 75 + 58.50 – 58.25 = 3.25 + 58.(50 – 25) = 3.25 + 58.25 = 25.(3+58) = 25.61 = 1525
Ta có: 1525 = 5 2 . 61
b, 20: 2 2 – 5 9 : 5 8 = 20:4 – 5 = 5 – 5 = 0
c, 5 19 : 5 17 - 4 : 7 = 5 2 - 4 : 7 = (25 – 4):7 = 3
d, 47 - 45 . 2 4 - 5 2 . 12 : 14 = 47 – (45.16 – 25.12):14 = 47 – (720 – 300):14 = 47 – 420:14 = 47 – 30 = 17
e, 10 2 : 60 : 5 6 : 5 4 - 3 . 5 = 100 – 60: 5 2 - 15 = 100 – 60:(25 – 15) = 100 – 60:10 = 100 – 6 = 94
Ta có: 94 = 2.47
f, 2345 - 1000 : 19 - 2 21 - 18 2 = 2345 – 1000:(19 – 2. 3 2 ) = 2345 – 1000:(19 – 2.9) = 2345 – 1000:(19 – 18) = 2345 – 1000:1 = 2345 – 1000 = 1345
Ta có: 1345 = 3.269
g, 500 – {5.[409 – 2 3 . 3 - 21 2 ]+ 10 3 }:15 = 500 – {5.[409 – 8 . 3 - 21 2 ]+1000}:15 = 500 – {5.[409 – 3 2 ]+1000}:15 = 500 – {5.(409 – 9)+1000}:15 = 500 – {5.400+1000}:15 = 500 – (2000+1000):15 = 500 – 3000:15 = 500 – 200 = 300
Ta có: 300 = 2 2 . 3 . 5 2
h, 967 – [8 + 2 . 3 2 – 24:6 + 9 - 7 3 ].5 = 967 – [8+2.9 – 4+8].5 = 967 – 30.5 = 967 – 150 = 817
Ta có: 817 = 19.43
\(a,=80+13^2:13^2=80+1=81=3^4\\ b,=25\cdot4-2^5:2^4=100-2=98=2\cdot7^2\\ c,=111+16^2:16^2=111+1=112=2^4\cdot7\\ d,=175-\left(75-45\right)=175-30=145=5\cdot29\)
a )
20.4 + 169 : 132
= 80+169 : 169
=80 + 1
=81
=34
b)52 . 4 -32 :34
= 25 . 4 - 32 : 81
= 100 - \(\dfrac{32}{81}\)
= \(\dfrac{8068}{81}\)
\(160-\left(2^3.5^2-6.25\right)\)
\(=160-\left(8.25-6.25\right)\)
\(=160-\left[\left(8-6\right).25\right]\)
\(=160-\left[2.25\right]\)
\(=160-50\)
\(=110\)
~ Hok tốt ~
5.42 – 18 : 32
= 5.16 – 18 : 9 = 80 – 2 = 78
Phân tích ra thừa số nguyên tố: 78 = 2.39 = 2.3.13
a)160 - ( 12 . 10 - 6 . 25 )
=160 - (120 - 150 )
=160 - (-30)
=190 = 2.5.19
B) 500 - { 5. [409 - (12.3-42)]+60} : 15
=500 - { 5. [ 409 - (-6)] + 60 } :15
=500 - { 5. 415 + 60 } :15
=500 -{ 2075 + 60} : 15
=500 - {2075 + 60 } :15
=500 - 2135 : 15
=500 - \(\dfrac{427}{3}\)
=\(\dfrac{1073}{3}\)
c)(-16) + (-48) + 164
= -64 + 164
= 100 = 22 x 52