What is the distance between -a and 0

1.	What is the distance between -a and 0
Answer» Answer DISTANCE is $\|-a\|=\begin{cases} &-a (a\geq 0) \\ &a (a$ . Solution A distance between two lines is a absolute value. Because distance is a non-negative value. After moving the distance, we end up in a greater number. Total Cases $-a$ can be EITHER positive, 0, or negative. CASE 1. $-a$ $-a+\mathrm{Distance}=0$ $\therefore\mathrm{Distance}=a$ Case 2. $-a=0$ $\therefore \mathrm{Distance}=0$ Case 3. $-a>0$ $0+\mathrm{Distance}=-a$ $\therefore\mathrm{Distance}=-a$ It's all positive value, so it can be written as $\|-a\|$ . More information On the number line, adding the numbers is moving to the right. 0 is called the origin. The absolute value is the value WITHOUT a negative sign. Verification Distance between -1 and 0 is 1, or $\|1\|=1$ (True). Distance between 1 and 0 is 1, or $\|-1\|=1$ (True).

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