94.6k views
5 votes
Which of the following stanements shows the inverse property of addition?

1 y=y
Oy+y= 2 y
Oy+ (-) = 0
Oy+ 0 = y

1 Answer

6 votes

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.

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.

User Tahbaza
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories