Answer Key 1.3

  1. [latex]-6 \cdot -\dfrac{4}{1}[/latex]
    [latex]-6 \cdot -4[/latex]
    [latex]24[/latex]
  2. [latex](-1)^3=-1[/latex]
  3. [latex]3+8 \div 4[/latex]
    [latex]3+2[/latex]
    [latex]5[/latex]
  4. [latex]5(1)\cdot 36[/latex]
    [latex]5\cdot 36[/latex]
    [latex]180[/latex]
  5. [latex]8 \div 4\cdot 2[/latex]
    [latex]2 \cdot 2[/latex]
    [latex]4[/latex]
  6. [latex]2+6=8[/latex]
  7. [latex]\left[-9-(2-5)\right] \div -6[/latex]
    [latex]\left[-9-(-3)\right]\div -6[/latex]
    [latex]\left[-6\right] \div -6[/latex]
    1
  8. [latex](-2 \cdot 8\cdot 2) \div (-4)[/latex]
    [latex]-32 \div -4[/latex]
    8
  9. [latex]-6 + (-6)^2\div 3[/latex]
    [latex]-6 + 36 \div 3[/latex]
    [latex]-6 + 12[/latex]
    6
  10. [latex]-12 \div [-2-2+6][/latex]
    [latex]-12 \div 2[/latex]
    − 6
  11. [latex]4-2|9-16| [/latex]
    [latex]4-2(7)[/latex]
    [latex]4-14[/latex]
    [latex]-10[/latex]
  12. [latex]-16 \div 4 -5[/latex]
    [latex]-4-5[/latex]
    [latex]-9[/latex]
  13. [latex](-1+5)(5)[/latex]
    [latex]4(5)[/latex]
    20
  14. [latex]-3-\{3-[-3(6)+2]\}[/latex]
    [latex]-3-\{3-[-18+2]\}[/latex]
    [latex]-3-\{3-[-16]\}[/latex]
    [latex]-3-\{19\}[/latex]
    [latex]-22[/latex]
  15. [latex]\left[2+4|7+4| \right] \div \left[8+15\right][/latex]
    [latex]\left[2+4(11)\right] \div 23[/latex]
    [latex]2+44 \div 23[/latex]
    [latex]46\div 23[/latex]
    2
  16. [latex]-4-\left[2-24-4-22-10\right][/latex]
    [latex]-4-\left[-58\right][/latex]
    54
  17. [latex]\left[12+2+6\right](-5+ |-3|)[/latex]
    [latex](20)(-5+3)[/latex]
    [latex](20)(-2)[/latex]
    [latex]-40[/latex]
  18. [latex]-6+3-6\left[-2-(-4)\right] [/latex]
    [latex]-3-6\left[-2+4\right] [/latex]
    [latex]-3-6\left[2\right] [/latex]
    [latex]-3-12 [/latex]
    [latex]-15[/latex]
  19. [latex]\dfrac{-15}{2--1-6-[-1+3]}[/latex]
    [latex]-15 \div (-3-[2])[/latex]
    [latex]-15 \div (-5)[/latex]
    3
  20. [latex]\dfrac{25+25}{|16-32| - 6}[/latex]
    [latex]\dfrac{50}{|-16|-6}[/latex]
    [latex]\dfrac{50}{16-6}[/latex]
    [latex]\dfrac{50}{10}[/latex]
    5
  21. [latex]\dfrac{-48-4-4-[-4+3]}{(16+9)\div 5}[/latex]
    [latex]\dfrac{-56-[-1]}{25\div 5}[/latex]
    [latex]\dfrac{-55}{5}[/latex]
    [latex]-11[/latex]
  22. [latex]\dfrac{-18-(-3)}{1-(-1)+3}[/latex]
    [latex]-\dfrac{15}{5}[/latex]
    [latex]-3[/latex]
  23. [latex]\dfrac{8+4}{-24-4-[-25]}[/latex]
    [latex]-\dfrac{12}{3}[/latex]
    [latex]-4[/latex]
  24. [latex]\dfrac{13+9-12+1-[-10+6]}{\{9 \div [16-9(1)-8]\}+12}[/latex]
    [latex]\dfrac{11-[-4]}{\{9\div [-1]\}+12}[/latex]
    [latex]\dfrac{15}{-9+12}[/latex]
    [latex]\dfrac{15}{3}[/latex]
    5

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