Definition
Equality
Equality is the relationship of having the same mathematical value or amount.
Continue from this idea into connected AXIO math.
Defining relationship
The equals sign is a balance point, not a go button.
Equality is the relation that two mathematical quantities or expressions have the same value. An equation states that equality holds between its left and right sides, usually with the equals sign =.
an equality states that both expressions have the same value
What it means
Read the equals sign as “has the same value as.” It joins two sides that balance; it is not a command meaning “now write the answer.” Either side may be a number or an expression, and the order of the two sides does not change whether the equality is true.
Remember it
The equals sign is a balance point, not a go button.
Example
14 − 6 = 3 + 5 is true because the left side and the right side both have value 8.
Watch for
4 + 3 = 7 + 2 is false: the left side is 7, but the right side is 9.
Common mix-up
Equality is the relationship; an equation is a statement that claims the relationship holds.
Exact meaning
Equality is the relation that two mathematical quantities or expressions have the same value. An equation states that equality holds between its left and right sides, usually with the equals sign =.