1.
a)
[tex]34 + 58 + 26 = 60 + 58 = 118[/tex]
b)
[tex]2 \times 759 \times 5 = 10 \times 759 = 7590[/tex]
2.
a)
[tex]8 - 4 + 2 = 4 + 2 = 6[/tex]
b)
[tex]8 + 4 - 2 = 12 - 2 = 10[/tex]
c)
[tex]8 \div 4 \times 2 = 2 \times 2 = 4[/tex]
d)
[tex]8 \times 2 \div 4 = 16 \div 4 = 4[/tex]
3.
a)
[tex](7 + 3 \times {2}^{2} ) - (13 - 3 \times 4) = (7 + 3 \times 4) - (13 - 12) = (7 + 12) - 1 = 19 - 1 = 18[/tex]
b)
[tex] {3}^{2} + 6 \div 3 \times (17 - 2 \times 5) = 9 + 2 \times (17 - 10) = 9 + 2 \times 7 = 9 + 14 = 23[/tex]
c)
[tex]6 \times ( - 7) + 5 \times (32 - 9 \times 4) = - 42 + 5 \times (32 - 36) = - 42 + 5 \times ( - 4) = - 42 - 20 = - 62[/tex]
d)
[tex]132 \div (( - 3 + 7 \times 2) \times ( - 5) + 22) = 132 \div (( - 3 + 14) \times ( - 5) + 22) = 132 \div (11 \times ( - 5) + 22) = 132 \div ( - 55 + 22) = 132 \div ( - 33) = - 4[/tex]
4.
a)
[tex] \frac{1}{4} - 1 \frac{1}{2} + 2 \frac{2}{3} - 5 = \frac{1}{4} - \frac{3}{2} + \frac{8}{3} - \frac{5}{1} = \frac{3}{12} - \frac{18}{12} + \frac{32}{12} - \frac{60}{12} = - \frac{15}{12} + \frac{32}{12} - \frac{60}{12} = \frac{17}{12} - \frac{60}{12} = - \frac{43}{12} = - 3 \frac{7}{12} [/tex]
b)
[tex] \frac{1}{2} \div ( - 1 \frac{2}{3}) \times 2 \frac{1}{4} \div ( - 3 \frac{3}{5} ) \times ( - 5 \frac{1}{3} ) = \frac{1}{2} \div ( - \frac{5}{3}) \times \frac{9}{4} \div ( - \frac{18}{5} ) \times ( - \frac{16}{3} ) = \frac{1}{2} \times ( - \frac{3}{5} ) \times \frac{9}{4} \div (- \frac{18}{5}) \times ( - \frac{16}{3} ) = - \frac{3}{10} \times \frac{9}{4} \div ( - \frac{18}{5} ) \times ( - \frac{16}{3} ) = - \frac{27}{40} \times ( - \frac{5}{18} ) \times ( - \frac{16}{3} ) = \frac{3}{16} \times ( - \frac{16}{3} ) = - 1[/tex]
