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
