a + b = b + a Example:7 + 3 = Two real numbers can be added in
either order to achieve the same sum. Does this work with
subtraction? Why or why not? a x b = b x a Example:3 x 7 = 7 x 3
Two real numbers can be multiplied in either order to achieve the
same product. Does this work with division? Why or why not?
DISTRIBUTIVE PROPERTY a(b + c) = ab + ac ora(b c) = ab ac Example:
2(3 + 4) = (2 x 3) + (2 x 4) or 2(3 - 4) = (2 x 3) - (2 x 4)
Distributive Property is the sum or difference of two expanded
products. (a + b) + c = a + (b + c) Example: ( ) + 7 = 29 + (13 +
7) When three real numbers are added, it makes no difference which
are added first. Notice how adding the first makes completing the
problem easier mentally. (a x b) x c = a x (b x c) Example: (6 x 4)
x 5 = 6 x (4 x 5) When three real numbers are multiplied, it makes
no difference which are multiplied first. Notice how multiplying
the 4 and 5 first makes completing the problem easier. a + 0 = a
Example: = 9 The sum of zero and a real number equals the number
itself. Memory note: When you add zero to a number, that number
will always keep its identity. a x 1 = a Example: 8 x 1 = 8 The
product of one and a number equals the number itself. Memory note:
When you multiply any number by one, that number will keep its
identity. a + (-a) = 0 Example:3 + (-3) = 0 The sum of a real
number and its opposite is zero. Any number times zero ( 0 ) has a
product of zero (Any number) x ( 0 ) = 0 (Any number) x ( 0 ) = 0
(Click on Subzero to play video) Go forth and use them wisely.Go
forth and use them wisely. Use them confidently.Use them
confidently. And use them well, my friends!And use them well, my
friends!
