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List and explain the four properties of addition. Simplify the following expressions: 3x-5, (-9) 10, (-12) f. Also, calculate (+5) - (-8) + (10).

Mathematics

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Q1) There are four (4) mathematical properties that relate to addition. These are:

  1. Commutative Property
  2. Associative Property
  3. Identity Property (or Additive Identity)
  4. Inverse Property (or Additive Inverse)

Q2) (+5)−(−8)+(10)(+5) - (-8) + (10) is called a math expression.

Q3) Calculate the following:
A) 3x−5=3x-5=
This expression cannot be simplified further without a specific value for xx.

3x−5=3x−53x-5 = \boxed{3x-5}

B) (−9)×10=(-9) \times 10=

  1. Multiply the absolute values.

    9×10=909 \times 10 = 90

  2. Apply the sign rule (negative ×\times positive = negative).

    (−9)×10=−90(-9) \times 10 = \boxed{-90}

    C) (−12)×f=(-12) \times f =
    This expression cannot be simplified further without a specific value for ff.

    (−12)×f=−12f(-12) \times f = \boxed{-12f}

    Q4) Divide the following: 2.
    This question is incomplete as the number or expression to be divided by 2 is missing.

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