Answer:
[tex]0\cdot \:y+\left(-0\cdot \:y\right)=0[/tex] 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,
[tex]0y+\left(-0y\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]=0\cdot \:y-0\cdot \:y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:0\cdot \:y-0\cdot \:y=0[/tex]
[tex]=0[/tex]
Thus,
[tex]0\cdot \:y+\left(-0\cdot \:y\right)=0[/tex]
Therefore, [tex]0\cdot \:y+\left(-0\cdot \:y\right)=0[/tex] the statement shows the inverse property of addition as the sum of a number and its inverse is zero.
