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Evaluate the following arithmetic expressions: b) (-10) + 15, c) +100 + 40 - 30, e) 5 ", -3, f) (-144) ", 12 10. Work out: b) -90 15 ", 5 - 45 + 32, d) 55 + 48 ", 6 - 11 7, f) 12 150 ", 15 - (4 + 52).

Mathematics

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Here are the solutions to the remaining problems:

1. Evaluate:

b) (−10)+15(-10) + 15

  1. Add −10-10 and 15.

    −10+15=5-10 + 15 = 5

    The result is 5\boxed{5}.

    c) +100+40−30+100 + 40 - 30

  2. Add 100 and 40.

    100+40=140100 + 40 = 140
  3. Subtract 30 from 140.

    140−30=110140 - 30 = 110

    The result is 110\boxed{110}.

    e) 5÷−35 \div -3

  4. Divide 5 by −3-3.

    5÷−3=−535 \div -3 = -\frac{5}{3}

    The result is −53\boxed{-\frac{5}{3}}.

    f) (−144)÷12×10(-144) \div 12 \times 10

  5. Perform division.

    −144÷12=−12-144 \div 12 = -12
  6. Perform multiplication.

    −12×10=−120-12 \times 10 = -120

    The result is −120\boxed{-120}.

    2. Work out:

    b) −90×15÷5−45+32-90 \times 15 \div 5 - 45 + 32

  7. Perform multiplication.

    −90×15=−1350-90 \times 15 = -1350
  8. Perform division.

    −1350÷5=−270-1350 \div 5 = -270
  9. Perform subtraction.

    −270−45=−315-270 - 45 = -315
  10. Perform addition.

    −315+32=−283-315 + 32 = -283

    The result is −283\boxed{-283}.

    d) 55+48÷6−11×755 + 48 \div 6 - 11 \times 7

  11. Perform division.

    48÷6=848 \div 6 = 8
  12. Perform multiplication.

    11×7=7711 \times 7 = 77
  13. Perform addition.

    55+8=6355 + 8 = 63
  14. Perform subtraction.

    63−77=−1463 - 77 = -14

    The result is −14\boxed{-14}.

    f) 12×150÷15−(4+52)12 \times 150 \div 15 - (4 + 52)

  15. Perform operations inside the bracket.

    4+52=564 + 52 = 56
  16. Perform multiplication.

    12×150=180012 \times 150 = 1800
  17. Perform division.

    1800÷15=1201800 \div 15 = 120
  18. Perform subtraction.

    120−56=64120 - 56 = 64

    The result is 64\boxed{64}.

    h) 70−50×95÷(14+5)+2170 - 50 \times 95 \div (14 + 5) + 21

  19. Perform operations inside the bracket.

    14+5=1914 + 5 = 19
  20. Perform multiplication.

    50×95=475050 \times 95 = 4750
  21. Perform division.

    4750÷19=2504750 \div 19 = 250
  22. Perform subtraction.

    70−250=−18070 - 250 = -180
  23. Perform addition.

    −180+21=−159-180 + 21 = -159

    The result is −159\boxed{-159}.

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