Fantastic Fields
The field property used in
5(x + y) = 5x + 5y
What is the distributive property?
The property which states that any expression is equal to itself.
What is the reflexive property of equality?
Spicy Multiplication
What is division?
5 ÷ 2 ÷ 0 ⋅ 3
What is undefined?
The field property used in
1 + x = x + 1
What is the commutative property of addition?
With this property, if x = 5, then 5 = x.
What is the symmetric property of equality?
These two parts of a homework paper are worth one point each.
What are the heading and format?
(3x2 - 9x + 12) ÷ 3
What is x2 - 3x + 4?
2[x + (-x)] = 2(0)
What is the property of opposites?
(or: What is the inverse property of addition?)
This property allows us to chain equalities together, such that if x = y and y = 8, then x = 8.
What is the transitive property of equality?
You should never erase a whiteboard with this.
What is a finger/hand?
12 ÷ 2 ⋅ 0
What is zero?
The field property which states that for any two real numbers, their product is a real number.
What is the closure property of multiplication?
This property states that if
x - 3 = 5, then
(x - 3) + 3 = 5 + 3.
What is the additive property of equality?
These saints are the patron saints of mathematics, we ask for their intercession at the end of our prayer.
Who are Barbara and Hubert?
(-12 ÷ 2) ⋅ (-12 ÷ 2)
What is 36?
The Opposite and Reciprocal properties are the Additive and Multiplicative versions of these.
What are the Inverse Properties?
This property states that if
2x + y = 8, then
5(2x + y) = 5(8).
What is the multiplicative property of equality?
This is the book of the Bible which our class prayer comes from.
What are the Psalms?
(-1 ÷ 2) ÷ (1 ÷ (-2)) ÷ ((-1) ÷ (-2))
What is 2?