Oblicz wartosci wyrazen:
a)√2 1/4-(-1⅔)²*2,4=
b)0,5-½*(2,7*5/27-0,8):(-½)³=
c)2,5+(⅔-1,8*⅚):(-⅓)³=
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a)
√2 1/4-(-1⅔)²*2,4=
= √9/4 -(-5/3)² * 2,4 =
= 3/2 - 25/9 * 24/10 =
= 3/2 - 120/18 =
= 27/18 - 120/18 =
= -93/18
b)
0,5-½*(2,7*5/27-0,8):(-½)³=
= 1/2 - 1/2 * ( 27/10 * 5/27 - 8/10) : (-1/8) =
= 1/2 - 1/2 * (1/2 - 8/10) : (-1/8) =
= 1/2 - 1/2 * (5/10 - 8/10) : (-1/8) =
= 1/2 - 1/2 * (-3/10) : (-1/8) =
= 1/2 - 1/2 * 12/5 =
= 1/2 - 6/5 =
= 5/10 - 12/10 =
= -7/10
c)
2,5+(⅔-1,8*⅚):(-⅓)³=
= 25/10 + (2/3 - 18/10 * 5/6) : (-1/27) =
= 25/10 + (2/3 - 3/2) : (-1/27) =
= 25/10 + (4/6 - 9/6) : (-1/27) =
= 25/10 - 5/6 * (-27) =
= 25/10 - 45/2 =
= 25/10 - 225/10 =
= -200/10 =
= -20