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Evaluate the following expressions: a) (-23) + 5 - 6, d) 250 - 40 + (-57), g) 45 -10 / 5. Work out: a) 14 / -2 10 - 20 + 11, c) 75 - 16 * 24 / 3 + 12, e) (10 + 12) - 40 / 4 + 16

Mathematics

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Here are the solutions to the practice exercise problems:

1. Evaluate:

a) (−23)+5−6(-23) + 5 - 6

  1. Add −23-23 and 5.

    −23+5=−18-23 + 5 = -18
  2. Subtract 6 from −18-18.

    −18−6=−24-18 - 6 = -24

    The result is −24\boxed{-24}.

    d) 250−40+(−57)250 - 40 + (-57)

  3. Simplify the signs.

    250−40−57250 - 40 - 57
  4. Subtract 40 from 250.

    250−40=210250 - 40 = 210
  5. Subtract 57 from 210.

    210−57=153210 - 57 = 153

    The result is 153\boxed{153}.

    g) 45×−10÷545 \times -10 \div 5

  6. Multiply 45 by −10-10.

    45×−10=−45045 \times -10 = -450
  7. Divide −450-450 by 5.

    −450÷5=−90-450 \div 5 = -90

    The result is −90\boxed{-90}.

    2. Work out:

    a) 14÷−2×10−20+1114 \div -2 \times 10 - 20 + 11

  8. Perform division.

    14÷−2=−714 \div -2 = -7
  9. Perform multiplication.

    −7×10=−70-7 \times 10 = -70
  10. Perform subtraction.

    −70−20=−90-70 - 20 = -90
  11. Perform addition.

    −90+11=−79-90 + 11 = -79

    The result is −79\boxed{-79}.

    c) 75−16×24÷3+1275 - 16 \times 24 \div 3 + 12

  12. Perform multiplication.

    16×24=38416 \times 24 = 384
  13. Perform division.

    384÷3=128384 \div 3 = 128
  14. Perform subtraction.

    75−128=−5375 - 128 = -53
  15. Perform addition.

    −53+12=−41-53 + 12 = -41

    The result is −41\boxed{-41}.

    e) (10+12)−40÷4+16(10 + 12) - 40 \div 4 + 16

  16. Perform operations inside the bracket.

    10+12=2210 + 12 = 22
  17. Perform division.

    40÷4=1040 \div 4 = 10
  18. Perform subtraction.

    22−10=1222 - 10 = 12
  19. Perform addition.

    12+16=2812 + 16 = 28

    The result is 28\boxed{28}.

    g) 28÷7×(15−22)+56−3028 \div 7 \times (15 - 22) + 56 - 30

  20. Perform operations inside the bracket.

    15−22=−715 - 22 = -7
  21. Perform division.

    28÷7=428 \div 7 = 4
  22. Perform multiplication.

    4×−7=−284 \times -7 = -28
  23. Perform addition.

    −28+56=28-28 + 56 = 28
  24. Perform subtraction.

    28−30=−228 - 30 = -2

    The result is −2\boxed{-2}.

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