Properties of operations. Game on.

$(2 \times 3) \times 4 = 2 \times (3 \times 4)$ shows the grouping of the multiplication does not change the answer, so the expressions are equal in value. This is the associative property.

$4 + 7 = 7 + 4$ shows the order of the addition does not change the answer, so the expressions are equal in value. This is the commutative property.

$\color{red}{4\times}\color{blue}{(3+2)}\color{black}{\,=\,}\color{red}{4\times}\color{blue}{3+}\color{red}{4\times}\color{blue}{2}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

$7 + 0 = 7$ shows adding $0$ does not change the answer, so the expressions are equal in value. This is the identity property.

$3 + (6 + 2) = (3 + 6) + 2$ shows the grouping of the addition does not change the answer, so the expressions are equal in value. This is the associative property.

$6 \times 4 = 4 \times 6$ shows the order of the multiplication does not change the answer, so the expressions are equal in value. This is the commutative property.

$\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

$6 \times 1 = 6$ shows multiplying by $1$ does not change the answer, so the expressions are equal in value. This is the identity property.