Question

Calculați
a) 46:23+{78-3x[(15+7x5):5]-3x7}
b) 9x{8+7x[6+5x(4+3x(2+1))]}:(1+2+3.......+9)
c)1+2x{3+4:[5-6:(7-8:(9-1))]}

Answer 1

a) 46:23+{78-3×[(15+7×5):5]-3×7:
=2+{78-3×[(15+35):5]-21
=2+[78-3×(50:5)-21]
=2+(78-3×10-21)
=2+(78-30-21)
=2+(48-21)=2+27=29
b) 9×{8+7×[6+5×(4+3×(2+1))]}:45
=9×{8+7×[6+5×(4+9)]}:45
=9×[8+7×(6+5×13)]:45
=9×[8+7×(6+65)]:45
=9×(8+7×71):45
=9×(8+497):45
=9×505:45
=4,545:45=101
c) 1+2×{3+4:[5-6:(7-8:(9-1))]}
=1+2×{3+4:[5-6:(7-8:8)]}
=1+2×{3+4:[5-6:(7-1)]}
=1+2×[3+4:(5-6:6)]
=1+2×[3+4:(5-1)]
=1+2×(3+4:4)
=1+2×(3+1)
=1+2×4
=1+8
=9