\blue{1}\times1=\blue{1}

\blue{2}\times1=\blue{2}

\blue{3}\times1=\blue{3}

Any number times 1 equals itself.

\blue{NUM}\times1=\blue{NUM}

Any real number plus 0 equals itself.

Without performing any addition steps, we know that NUM + 0 = NUM.

This fact about adding by 0 is known as the identity property of addition.

Any real number x (except 0) can be multipled by \dfrac{1}{x} to get 1.

Without performing any multiplication or division, we know that NUM \times \dfrac{1}{NUM} = 1.

Thus, the answer is \dfrac{1}{NUM}.

This fact about multiplying by \dfrac{1}{x} is known as the multiplicative inverse property.

Adding the negative inverse of a number to that number equals 0.

Without performing any addition or subtraction, we know that NUM +(-1 * NUM) = 0.

Thus, the answer is -1 * NUM.

This fact about adding negative inverses is known as the additive inverse property.