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Reals and rationals

Learn – Arithmetic – PEMDAS

  • 1 Exercises
    • 1.1 Problem set
    • 1.2 Problem set
    • 1.3 Problem set
    • 1.4 Problem set
    • 1.5 Problem set
    • 1.6 Problem set

Exercises

Problem set

Evaluate each of the following.

  1. 3 + 4\times 2
  2. -3 + 2\times 5
  3. -5 + 3^2\times 4
  4. (5 \times (-4) + 28) \div 2

Problem set

Evaluate each of the following.

  1. 5 - 4 + 7
  2. -3 - 2 + 5
  3. -10 - 10 + 20 - 10
  4. -70 \div 14 \times 20
  5. -8 \div 4 \times 2
  6. -5 - 2 - 2\times 4\div 4\times 2
  7. -8 - 5 + 18\div 6\times 2 -4
  8. -5 - 2 - 6\div 2\times 3 - 2
  9. -10 - 20 - 30\div 3\times 5 - 50

Problem set

Evaluate each of the following.

  1. -2^2
  2. (-2)^2
  3. -(-2)^2
  4. -(-2)^3
  5. -(-2^2)
  6. -10^2
  7. (-10)^2
  8. -(-10)^2
  9. -(-10)^3
  10. -(-10^2)

Problem set

Evaluate each of the following.

  1. -3^2
  2. (-3)^2
  3. -(-3)^2
  4. -(-3)^3
  5. -(-3^2)
  6. (-1)^{24}
  7. (-1)^{37}
  8. -1^{56}
  9. -(-1)^{78}
  10. -(-1)^{94}
  11. -(-1^{86})

Problem set

Evaluate each of the following.

  1. -7 \times (-2) + (-2)^2
  2. (-4)\times (-2) \div (-4) - 2^2 - 1
  3. -10^2 - 200 + 300
  4. -4 - (-2)^2 - (-3 - 5)
  5. -10 - (-3)^3 + 40

Problem set

Evaluate each of the following.

  1. -7^2 - (-7)^2 + 7
  2. -3^2 + (-3)^2 -(-3)^3
  3. -(-2)^2 + (-2)^3 -(-2)^2
  4. -5 - ((-5)^3 - (-5)^2)  - 5
  5. -(-10)^2 - ((-10)^3-10)  - 10
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