`NUM` \times 1 =

`NUM`

Any real number multiplied by `1`

equals itself.

Without performing any multiplication steps, we know that

.`NUM` \times 1 = `NUM`

This fact about multiplying by `1`

is known as the identity property of multiplication, and it is useful for finding equivalent fractions.

`NUM` + 0 =

`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.

By what number can we multiply

to get `NUM``1`

?

`1 / NUM`

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.

What number can we add to

to get `NUM``0`

?

`-1 * NUM`

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.