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a: \(2\cdot25\cdot4\cdot50\)
\(=\left(2\cdot50\right)\cdot\left(25\cdot4\right)\)
\(=100\cdot100=10000\)
b: \(\left(-125\right)\cdot5\cdot\left(-16\right)\cdot\left(-8\right)\)
\(=-125\cdot5\cdot16\cdot8\)
\(=-\left(125\cdot8\right)\cdot\left(5\cdot16\right)\)
\(=-80\cdot1000=-80000\)
c: \(5^2\cdot3^3\cdot2\)
\(=25\cdot27\cdot2\)
\(=\left(25\cdot2\right)\cdot27=27\cdot50=1350\)
d: \(\left(-4\right)\cdot3^2\left(-5\right)^3\)
\(=\left(-4\right)\cdot\left(-125\right)\cdot9\)
\(=500\cdot9=4500\)
a) 15, 37 – 12, 37) . 0,12 = 3. 0,12 = 0,36
b ) 6 5 12 : 2 3 4 + 11 1 4 . 1 3 − 1 5 = 77 12 : 11 4 + 45 4 . 2 15 = 77 33 + 3 2 = 23 6 c ) 5 6 : 0,125 − 2 1 4 − 0,6 . 10 11 = 5 6 : 1 8 − 9 4 − 3 5 . 10 11 = 155 11 d ) 1,4. 15 19 − 4 5 + 2 3 : 2 1 5 = 7 5 . 15 19 − 22 15 : 11 5 = 21 19 − 2 3 = 25 57 e ) ( − 1,2 ) . − 3 24 + 0,4 − 1 4 15 : 1 2 3 = − 6 5 . − 3 24 + 2 5 − 19 15 : 5 3 = − 37 100 f ) 1 13 15 .0,75 − 11 20 + 25 % = 28 15 . 3 4 − 11 20 + 1 4 = 3 5
a. 137-(-23)=137+23=160
b.\(3^3.75+25.3^3-34=3^3.\left(25+75\right)-34=27.100-34=2700-34=2666\)
a. 4.37.25.50.12
=(4.25).(50.12).37
=100.600.37
=2220000
\(a.\left(4.50\right).\left(25.12\right).37\)
\(=200.300.37=2220000\)
\(b.\left(46+54\right)+\left(17+83\right)\)
\(=100+100=200\)
\(c.87.\left(36+69\right)=87.105=9135\)
\(d.\left(135+65\right)+\left(360+40\right)\)
\(=200+400=600\)
\(e.\left(463+137\right)+\left(318+22\right)\)
\(=600+340=940\)
\(12400:50=248\cdot50:50=248\)
\(360:15=24\cdot15:15=24\)
\(23800:25=952\cdot25:25=952\)
a ] 12 400 : 50 = 248
b ] 360 : 15 = 24
c ] 23800 : 25 = 952