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a) \(6^2:4\times3+2\times5^2\)
\(=36:4\times3+2\times25\)
\(=9\times3+50\)
\(=27+50\)
\(=77\)
b) \(125+70+375+230\)
\(=\left(125+375\right)+\left(70+230\right)\)
\(=500+300\)
\(=800\)
c) \(150:\left[25\times\left(18-4^2\right)\right]\)
\(=150:\left[25\times\left(18-16\right)\right]\)
\(=150:\left[25\times2\right]\)
\(=150:50\)
\(=3\)
a) 125 + 70 + 375 + 230 = (125 + 375) + (70 + 230) = 500 + 300 = 800
b) 62 : 4 . 3 + 2 . 52 = 62 : 22 . 3 + 2 . 25 = 32 . 3 + 50 = 33 + 50 = 27 + 50 = 77
c) 150 : [25 . (18 - 42)] = 150 : (25 . 2) = 150 : 50 = 3
= (8.125). (25.4).33
= 1000. 100.9
= 100 000.9
= 900 000
a, 125+70+375+230
= (125+375)+(70+230)
= 500+300 = 800
b, 7 2 . 33 + 7 2 . 67
= 49.33+49.67 = 49.(33+67) = 49.100 = 4900
c, 35.11+65.18+35.13+65.6
= 35.(11+13)+65.(18+6) = 35.24+65.24 = 24.(35+65) = 24.100 = 2400
d, 490 – {[(128+22):3. 2 2 ] – 7}
= 490 – {[150:3.4] – 7}
= 490 – {[50.4] – 7}
= 490 – {200 – 7}
= 490 – 193 = 297
a: 45+432+155+168
=45+155+432+168
=200+600
=800
b: \(5\cdot135-5\cdot35+175\)
\(=5\cdot\left(135-35\right)+175\)
\(=5\cdot100+175\)
=500+175
=675
c: \(129\cdot172-73\cdot129+129\)
\(=129\cdot\left(172-73+1\right)\)
\(=129\cdot100=12900\)
d: \(29\cdot73+110\cdot71+37\cdot29\)
\(=29\cdot\left(73+37\right)+110\cdot71\)
\(=29\cdot110+71\cdot110=110\cdot100=11000\)
e: \(12:\left\lbrace390:\left\lbrack500-\left(125+35\cdot7\right)\right\rbrack\right\rbrace\)
\(=12:\left\lbrace390:\left\lbrack500-\left(125+245\right)\right\rbrack\right\rbrace\)
\(=12:\left\lbrace390:\left\lbrack500-370\right\rbrack\right\rbrace=12:\left\lbrace\frac{390}{130}\right\rbrace=12:3=4\)
f: \(375:\left\lbrace32-\left\lbrack4+\left(5\cdot9-42\right)\right\rbrack\right\rbrace-14\)
\(=375:\left\lbrace32-\left\lbrack4+45-42\right\rbrack\right\rbrace-14=375:\left\lbrace32-7\right\rbrace-14\)
=375:25-14
=15-14
=1
49 . 55 + 46 . 49 - 49
=49(55+46)-49
=49.101-49
==> =49.100
=4900
(125+375) + ( 70+230)
500 + 300
800
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