Question

review the key concept from the lesson. then answer the questions to help you understand how to read a key concept. key concept when subtracting integers, such as a - b, you can use the additive inverse to write subtraction as an equivalent addition expression. subtracting b is the same as adding the opposite of b. a - b=a+( - b) 1. what is the focus of this key concept box? 2. what do the variables a and b represent? 3. circle the expression that is not equivalent to the other expressions. a+( - b) a - b b - a ( - b)+a 4. what is true about additive inverses? select all that apply. the additive inverse of a positive number is negative. the additive inverse of a number is always positive. additive inverses have a sum of 0. subtracting is the same as adding the additive inverse. the additive inverse of a number is 0.

Explanation:

Step1: Identify focus of Key - Concept box

The box explains subtracting integers using additive inverses.

Step2: Determine variable meaning

In the context of integer subtraction, \(a\) and \(b\) represent integers.

Step3: Check equivalent expressions

\(a+(-b)=a - b=(-b)+a\), but \(b - a\) is not equivalent.

Step4: Analyze additive - inverse properties

The additive inverse of a positive number is negative. Additive inverses have a sum of 0. Subtracting is the same as adding the additive inverse.

Answer:

1. Subtracting integers using additive inverses.
2. Integers.
3. \(b - a\)
4. The additive inverse of a positive number is negative; Additive inverses have a sum of 0; Subtracting is the same as adding the additive inverse.