Multiple Expressions
1. Simplify inside the bracket: $$(-15) - (-3) = -15 + 3 = -12$$
2. Multiply by 7: $$7 \times (-12) = -84$$
3. Divide by 4: $$\frac{-84}{4} = -21$$
4. Simplify inside the parenthesis: $$28 - \frac{8}{4} = 28 - 2 = 26$$
5. Square: $$26^2 = 676$$
6. Add the results: $$-21 + 676 = 655$$
7. Simplify powers and terms inside brackets for 13:
$$-5^2 = -25$$
$$3 - 9 = -6$$
$$4 \times (-6) = -24$$
$$\frac{49}{-7} = -7$$
8. Compute bracket: $$-25 - (-24) - (-7) = -25 + 24 + 7 = 6$$
9. Multiply by -7: $$-7 \times 6 = -42$$
10. Subtract from 24: $$24 - (-42) = 24 + 42 = 66$$
11. For 14:
$$-13^2 = -169$$
$$15 - 6 = 9$$
$$-5 \times 9 = -45$$
$$\frac{-45}{9} = -5$$
$$-5 - 3 = -8$$
$$8 \times (-8) = -64$$
12. Add inside bracket: $$-5 + (-64) = -69$$
13. Multiply by -2: $$-2 \times (-69) = 138$$
14. Add all: $$-169 - 138 = -307$$
15. For 15:
$$-4 + 5 = 1$$
$$\frac{1}{2} = 0.5$$
$$0.5^3 = 0.125$$
$$6 \times 2 = 12$$
$$9 - 12 + 2 = -1$$
16. Sum inside bracket: $$0.125 + (-1) = -0.875$$
17. Multiply by -2: $$-2 \times (-0.875) = 1.75$$
18. For 16:
$$-\frac{1}{4} - (-\frac{3}{7}) = -\frac{1}{4} + \frac{3}{7} = \frac{-7 + 12}{28} = \frac{5}{28}$$
19. For 17:
$$\frac{2}{5} - \frac{6}{7} = \frac{14}{35} - \frac{30}{35} = -\frac{16}{35}$$
20. For 18:
Convert mixed number: $$-2 \frac{3}{8} = -\frac{19}{8}$$
$$-\frac{5}{7} - (-\frac{19}{8}) = -\frac{5}{7} + \frac{19}{8} = \frac{-40 + 133}{56} = \frac{93}{56}$$
21. For 19:
Convert mixed numbers: $$2 \frac{1}{5} = \frac{11}{5}, \quad -4 \frac{5}{6} = -\frac{29}{6}$$
$$\frac{11}{5} - (-\frac{29}{6}) = \frac{11}{5} + \frac{29}{6} = \frac{66 + 145}{30} = \frac{211}{30}$$
22. For 20:
Convert mixed numbers: $$-1 \frac{3}{4} = -\frac{7}{4}$$
$$3 + (-\frac{5}{6}) - \frac{7}{4} = 3 - \frac{5}{6} - \frac{7}{4} = \frac{72}{24} - \frac{20}{24} - \frac{42}{24} = \frac{10}{24} = \frac{5}{12}$$
23. For 21:
Convert mixed numbers: $$-1 \frac{3}{8} = -\frac{11}{8}, \quad 5 \frac{1}{8} = \frac{41}{8}$$
$$4 - (-\frac{11}{8}) - \frac{41}{8} = 4 + \frac{11}{8} - \frac{41}{8} = \frac{32}{8} + \frac{11}{8} - \frac{41}{8} = \frac{2}{8} = \frac{1}{4}$$
24. For 22:
$$8 \times (-\frac{3}{4}) = -6$$
25. For 23:
$$\frac{4}{15} \div (-\frac{1}{3}) = \frac{4}{15} \times (-3) = -\frac{12}{15} = -\frac{4}{5}$$
26. For 24:
$$(-3) \div (-\frac{3}{5}) = -3 \times (-\frac{5}{3}) = 5$$
$$5 \times \frac{7}{15} = \frac{35}{15} = \frac{7}{3}$$
27. For 25:
$$(-\frac{1}{4}) \times 80 = -20$$
$$-20 \div (-\frac{4}{5}) = -20 \times (-\frac{5}{4}) = 25$$
Final answers:
12. 655
13. 66
14. -307
15. 1.75
16. \frac{5}{28}
17. -\frac{16}{35}
18. \frac{93}{56}
19. \frac{211}{30}
20. \frac{5}{12}
21. \frac{1}{4}
22. -6
23. -\frac{4}{5}
24. \frac{7}{3}
25. 25