Question

1. henry runs up 10.5 flights of stairs. how far will henry have to run down to represent an additive inverse?

Explanation:

Step1: Define additive inverse concept

The additive inverse of a number \(a\) is a number \(b\) such that \(a + b=0\). In the context of running stairs, running up is a positive - direction movement and running down is a negative - direction movement.

Step2: Identify the given value

Henry runs up 10.5 flights of stairs. Let the number of flights of stairs he runs up be \(a = 10.5\).

Step3: Find the additive inverse

We want to find a number \(b\) such that \(10.5 + b = 0\). Solving for \(b\), we get \(b=- 10.5\). This means Henry has to run down 10.5 flights of stairs.

Answer:

10.5 flights of stairs