Game Development Reference
In-Depth Information
the distributive property:
3
ðx þ
2
Þ
¼
3
x þ
3
ð
2
Þ
¼
3
x þ
6
Exercise Set 2.2
Here are a few equations that relate to commutative, associative, and distributive properties. For
each equation, identify the property or properties that best explain the operations.
a.
ð6 þ 3Þþ7 ¼ð3 þ 6Þþ7
b. 2ð6 þ 5Þ¼ð2 6Þþð2 5Þ
c.
ð8 þ 6Þþ3 ¼ 8 þð6 þ 3Þ
d. 4 þ 6 þ 3 ¼ 3 þ 4 þ 6
Use the associative property to write an expression equivalent to each of the following:
e. y þ (z þ 3)
f. (3x)y
Use the commutative property to write an expression equivalent to each of the following:
g. a þ 7
h. 9(b þ 2)
Use the distributive property to factor each of the following. Check by multiplying.
i. 4a þ 4b
j. 15 þ 15x
Identity and Inverse Properties
When working with real numbers, there are properties that pertain specifically to
the addition and multiplication of 0 and 1. These properties are called identity
and inverse properties.
