Properties of Real Numbers Corresponds to chapter 1.4 MCR

CLOSURE PROPERTY (WE WILL NOT TEST ON) Closure property of addition: if a and b are real numbers, a + b is a real number Closure property of multiplication: if a and b are real numbers, 𝑎∗𝑏 is a real number.

Identity property (not tested on) Identity property of addition: if a is a real number, a + 0 = a. Identity property of multiplication: If a is a real number, 𝑎∗1=𝑎.

Inverse property (not tested on) Inverse property of addition: If a is a real number, a +(-a) = 0. Inverse property of multiplication: If a is a real number, 𝑎∗ 1 𝑎 =1 𝑔𝑖𝑣𝑒𝑛 𝑎 ≠0.

It’s “GACO” not geico!

“gaco” Grouping is the Associative property Commutative property is Order.

Associative property The associative property states the way we group either addition or multiplication does not alter the result Example : 𝑎+𝑏 +𝑐=𝑎+(𝑏+𝑐) and (𝑎∗𝑏)∗𝑐=𝑎∗(𝑏∗𝑐)

Commutative property The commutative property states that the order we do addition and multiplication does not affect the result. Example 𝑎+𝑏=𝑏+𝑎 and 𝑎∗𝑏=𝑏∗𝑎

Knowledge check 2+4+6=6+4+2= ?represents which property? The order changed which is the commutative property 2∗4 ∗6= ?𝑎𝑛𝑑 2∗(4∗6)= ? Represents which property? The grouping changed so it is the associative property.