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Write and simplify the following mathematical expressions: a) 5 subtracted from the sum of 8 and 7. b) 7 added to the product of 5 and 6. c) 9 subtracted from the product of 7 and 3. d) 8 added to the

Mathematics

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Here are the solutions for questions 6 and 7.

6. Let's make mathematical expressions and simplify.

a) 5 is subtracted from the sum of 8 and 7.

  1. Write the expression.

    (8+7)−5(8 + 7) - 5
  2. Simplify the expression.

    15−5=1015 - 5 = 10 10\boxed{10}

    b) 7 is added to the product of 5 and 6.

  3. Write the expression.

    (5×6)+7(5 \times 6) + 7
  4. Simplify the expression.

    30+7=3730 + 7 = 37 37\boxed{37}

    c) 9 is subtracted from the product of 7 and 3.

  5. Write the expression.

    (7×3)−9(7 \times 3) - 9
  6. Simplify the expression.

    21−9=1221 - 9 = 12 12\boxed{12}

    d) 8 is added to the quotient of 36 divided by 4.

  7. Write the expression.

    (36÷4)+8(36 \div 4) + 8
  8. Simplify the expression.

    9+8=179 + 8 = 17 17\boxed{17}

    e) The product of 7 and the quotient of 40 divided by 5.

  9. Write the expression.

    7×(40÷5)7 \times (40 \div 5)
  10. Simplify the expression.

    7×8=567 \times 8 = 56 56\boxed{56}

    7. Let's simplify these mixed operations.

    a) 27÷3×4+12−527 \div 3 \times 4 + 12 - 5

  11. Perform division.

    9×4+12−59 \times 4 + 12 - 5
  12. Perform multiplication.

    36+12−536 + 12 - 5
  13. Perform addition.

    48−548 - 5
  14. Perform subtraction.

    4343 43\boxed{43}

    b) 48÷8×7+5−1048 \div 8 \times 7 + 5 - 10

  15. Perform division.

    6×7+5−106 \times 7 + 5 - 10
  16. Perform multiplication.

    42+5−1042 + 5 - 10
  17. Perform addition.

    47−1047 - 10
  18. Perform subtraction.

    3737 37\boxed{37}

    c) 10×9+63÷7−2010 \times 9 + 63 \div 7 - 20

  19. Perform multiplication.

    90+63÷7−2090 + 63 \div 7 - 20
  20. Perform division.

    90+9−2090 + 9 - 20
  21. Perform addition.

    99−2099 - 20
  22. Perform subtraction.

    7979 79\boxed{79}

    d) 40+4×3−32÷840 + 4 \times 3 - 32 \div 8

  23. Perform multiplication.

    40+12−32÷840 + 12 - 32 \div 8
  24. Perform division.

    40+12−440 + 12 - 4
  25. Perform addition.

    52−452 - 4
  26. Perform subtraction.

    4848 48\boxed{48}

    e) 35−12+6×36÷435 - 12 + 6 \times 36 \div 4

  27. Perform multiplication.

    35−12+216÷435 - 12 + 216 \div 4
  28. Perform division.

    35−12+5435 - 12 + 54
  29. Perform subtraction.

    23+5423 + 54
  30. Perform addition.

    7777 77\boxed{77}

    f) 8×5−15+10×27÷98 \times 5 - 15 + 10 \times 27 \div 9

  31. Perform multiplications from left to right.

    40−15+270÷940 - 15 + 270 \div 9
  32. Perform division.

    40−15+3040 - 15 + 30
  33. Perform subtraction.

    25+3025 + 30
  34. Perform addition.

    5555 55\boxed{55}

    g) 3+8×72÷8−10−53 + 8 \times 72 \div 8 - 10 - 5

  35. Perform multiplication.

    3+576÷8−10−53 + 576 \div 8 - 10 - 5
  36. Perform division.

    3+72−10−53 + 72 - 10 - 5
  37. Perform addition.

    75−10−575 - 10 - 5
  38. Perform subtractions from left to right.

    65−565 - 5
  39. Perform subtraction.

    6060 60\boxed{60}

    h) 15−6+7×63÷9−415 - 6 + 7 \times 63 \div 9 - 4

  40. Perform multiplication.

    15−6+441÷9−415 - 6 + 441 \div 9 - 4
  41. Perform division.

    15−6+49−415 - 6 + 49 - 4
  42. Perform subtraction.

    9+49−49 + 49 - 4
  43. Perform addition.

    58−458 - 4
  44. Perform subtraction.

    5454 54\boxed{54}
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