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Mathematics Warm Ups:
Properties of Real Numbers

1. Which property is shown below?

a + b = b + a


Answer: Commutative Property

More Questions Below...

2. Which property is shown below?

a(b + c) = ab + ac


Answer: Distributive Property


3. Which property is shown below?

a + (b + c) = (a + b) + c


Answer: Associative Property


4. Which property is shown below?

If a = b and b = c then a = c.


Answer: Transitive Property


5. If a, b, c, and d are real numbers, show that
(a + b)(c + d) = ac + bc + ad + bd


Answer: (a + b)(c + d) = (a + b)c + (a + b)d
                                        = (ac + bc) + (ad + bd)
                                        = ac + bc + ad + bd


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