Can someone help me with the following please

What property is the following:

a(b + 0) additive inverse property - this was confirmed from previous equation

= a x b + a x 0 Distributive. (I think)

= a x b + 0. Multiplication property of zero (I think)

= a x b. Additive identity property

Thank you

your steps and properties look good.

Not sure about your initial mention of additive inverse. That appears nowhere here.

a + (-a) = 0
uses additive inverse

You're almost there! Let's break it down step by step:

1. Starting with the expression a(b + 0), you correctly identified it as using the additive inverse property. This property states that adding zero to any number leaves the number unchanged.

2. Next, you applied the distributive property, which allows you to distribute the number 'a' to both terms inside the parentheses. This step is correct.

3. Simplifying further, you correctly used the multiplication property of zero, which states that any number multiplied by zero is equal to zero.

4. Lastly, you correctly identified the final expression a x b as using the additive identity property. This property states that adding zero to any number leaves the number unchanged.

Therefore, the property used in each step is as follows:
- Additive inverse property
- Distributive property
- Multiplication property of zero
- Additive identity property

Well done!