Question

Which of the following stanements shows the inverse property of addition?

Answer 1

Answer:

$0\cdot \:y+\left(-0\cdot \:y\right)=0$  the  statement shows the inverse property of addition as the sum of a number and its inverse is zero.

Step-by-step explanation:

As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.

For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.

In other words, the sum of a number and its inverse is zero.

Now checking from the available options,

$0y+\left(-0y\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=0\cdot \:y-0\cdot \:y$

$\mathrm{Add\:similar\:elements:}\:0\cdot \:y-0\cdot \:y=0$

$=0$

Thus,

$0\cdot \:y+\left(-0\cdot \:y\right)=0$

Therefore, $0\cdot \:y+\left(-0\cdot \:y\right)=0$  the  statement shows the inverse property of addition as the sum of a number and its inverse is zero.