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Simplify the following expressions involving subtraction of negative numbers: a) 4 - (-5) b) 5 - (-7) c) 5 - (-7) d) 6 - (-9) e) 3 - (-2) f) 4 - (-7)

Mathematics

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Step-by-step solution

72 steps

Here are the calculations for the problems:

Part a· 3 steps

  1. Rewrite the expression.

    4−(−5)4 - (-5)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    4+54 + 5
  3. Perform the addition.

    99

    The final answer is 9\boxed{9}.

Part b· 3 steps

  1. Rewrite the expression.

    5−(−7)5 - (-7)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    5+75 + 7
  3. Perform the addition.

    1212

    The final answer is 12\boxed{12}.

Part c· 3 steps

  1. Rewrite the expression.

    5−(−7)5 - (-7)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    5+75 + 7
  3. Perform the addition.

    1212

    The final answer is 12\boxed{12}.

Part d· 3 steps

  1. Rewrite the expression.

    6−(−9)6 - (-9)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    6+96 + 9
  3. Perform the addition.

    1515

    The final answer is 15\boxed{15}.

Part e· 3 steps

  1. Rewrite the expression.

    3−(−2)3 - (-2)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    3+23 + 2
  3. Perform the addition.

    55

    The final answer is 5\boxed{5}.

Part f· 3 steps

  1. Rewrite the expression.

    4−(−7)4 - (-7)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    4+74 + 7
  3. Perform the addition.

    1111

    The final answer is 11\boxed{11}.

Part g· 3 steps

  1. Rewrite the expression.

    5−(−4)5 - (-4)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    5+45 + 4
  3. Perform the addition.

    99

    The final answer is 9\boxed{9}.

Part h· 3 steps

  1. Rewrite the expression.

    2−(−1)2 - (-1)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    2+12 + 1
  3. Perform the addition.

    33

    The final answer is 3\boxed{3}.

Part h(i)· 42 steps

  1. Rewrite the expression.

    3−(−4)3 - (-4)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    3+43 + 4
  3. Perform the addition.

    77

    The final answer is 7\boxed{7}.

    j)

  4. Rewrite the expression.

    1−(−3)1 - (-3)
  5. Subtracting a negative number is the same as adding its positive counterpart.

    1+31 + 3
  6. Perform the addition.

    44

    The final answer is 4\boxed{4}.

    k)

  7. Rewrite the expression.

    2−(−5)2 - (-5)
  8. Subtracting a negative number is the same as adding its positive counterpart.

    2+52 + 5
  9. Perform the addition.

    77

    The final answer is 7\boxed{7}.

    l)

  10. Rewrite the expression.

    5−(−11)5 - (-11)
  11. Subtracting a negative number is the same as adding its positive counterpart.

    5+115 + 11
  12. Perform the addition.

    1616

    The final answer is 16\boxed{16}.

    m)

  13. Rewrite the expression.

    7−(−6)7 - (-6)
  14. Subtracting a negative number is the same as adding its positive counterpart.

    7+67 + 6
  15. Perform the addition.

    1313

    The final answer is 13\boxed{13}.

    n)

  16. Rewrite the expression.

    8−(−12)8 - (-12)
  17. Subtracting a negative number is the same as adding its positive counterpart.

    8+128 + 12
  18. Perform the addition.

    2020

    The final answer is 20\boxed{20}.

    o)

  19. Rewrite the expression.

    5−(−9)5 - (-9)
  20. Subtracting a negative number is the same as adding its positive counterpart.

    5+95 + 9
  21. Perform the addition.

    1414

    The final answer is 14\boxed{14}.

    p)

  22. Rewrite the expression.

    4−(−4)4 - (-4)
  23. Subtracting a negative number is the same as adding its positive counterpart.

    4+44 + 4
  24. Perform the addition.

    88

    The final answer is 8\boxed{8}.

    q)

  25. Rewrite the expression.

    3−(−3)3 - (-3)
  26. Subtracting a negative number is the same as adding its positive counterpart.

    3+33 + 3
  27. Perform the addition.

    66

    The final answer is 6\boxed{6}.

    r)

  28. Rewrite the expression.

    5−(−12)5 - (-12)
  29. Subtracting a negative number is the same as adding its positive counterpart.

    5+125 + 12
  30. Perform the addition.

    1717

    The final answer is 17\boxed{17}.

    s)

  31. Rewrite the expression.

    2−(−4)2 - (-4)
  32. Subtracting a negative number is the same as adding its positive counterpart.

    2+42 + 4
  33. Perform the addition.

    66

    The final answer is 6\boxed{6}.

    t)

  34. Rewrite the expression.

    3−(−6)3 - (-6)
  35. Subtracting a negative number is the same as adding its positive counterpart.

    3+63 + 6
  36. Perform the addition.

    99

    The final answer is 9\boxed{9}.

    u)

  37. Rewrite the expression.

    5−(−6)5 - (-6)
  38. Subtracting a negative number is the same as adding its positive counterpart.

    5+65 + 6
  39. Perform the addition.

    1111

    The final answer is 11\boxed{11}.

    w)

  40. Rewrite the expression.

    7−(−10)7 - (-10)
  41. Subtracting a negative number is the same as adding its positive counterpart.

    7+107 + 10
  42. Perform the addition.

    1717

    The final answer is 17\boxed{17}.

Part h(x)· 6 steps

  1. Rewrite the expression.

    6−(−6)6 - (-6)
  2. Subtracting a negative number is the same as adding its positive counterpart.

    6+66 + 6
  3. Perform the addition.

    1212

    The final answer is 12\boxed{12}.

    z)

  4. Rewrite the expression.

    7−(−14)7 - (-14)
  5. Subtracting a negative number is the same as adding its positive counterpart.

    7+147 + 14
  6. Perform the addition.

    2121

    The final answer is 21\boxed{21}.

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