Communtitive Property trick

The order of the numbers changes, but the answer stays the same.Example: \(3 + 5 = 5 + 3\) or \(4 \times 2 = 2 \times 4\).

Commutative property trick

• The order of the numbers changes, but the answer stays the same.

• Example: \(3 + 5 = 5 + 3\) or \(4 \times 2 = 2 \times 4\). [1, 2, 3, 4]

Associative Property trick

• The grouping or parentheses change, but the order of the numbers and the final answer stay the same.

• Example: \((1 + 2) + 3 = 1 + (2 + 3)\)

Distrubutive property trick

• Multiply the outside number to every term inside the parentheses.

• Example: (2(x + y) = 2x + 2y)

Identity property

• An operation leaves the number completely unchanged.

• Example: \(5 + 0 = 5\) (additive) and (5 times 1 = 5)

Inverse Property

• Combining a number with its opposite gives the identity element.

• Example: \(5 + (-5) = 0\) or \(5 \times \frac{1}{5} = 1\)