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 NUM
to get 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 NUM
to get 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.