The first lesson in unit one covers our basic number properties. In this lesson, we are
going to cover the associative property, the commutative property, and the distributive
property. The associative property states; For all real numbers a, b, & c: (a + b) +
c = a + (b + c) and (ab)c = a(bc). The associative property refers to the manner in which numbers
are grouped, or associated, and is true for addition and multiplication only.*Notice the
order in which the variables are expressed remain constant.Next,
the commutative property states that for all real numbers a & b: a + b = b + a and ab=
ba.The commutative property refers to the manner in which numbers are ordered.*The order
in which you add or multiply numbers does not affect the result.Finally, we have the
distributive property. The distributive property states; For all real numbers a, b, & c: a(b
+ c) = ab + ac.When a number is being multiplied by a quantity, every term in the quantity
must be multiplied by the number.*Since the distributive property includes multiplication
and addition. The order in which the numbers are expressed does not affect the outcome.
(b + c) = ac + ab. To earn credit for completing this lesson, you need to identify the property
illustrated in each of the examples below and respond to the polls on the Haiku website.
Use the poll results and the discussion board to connect with your classmates and identify
the correct answers.