Question

#3 what are two numbers that have an absolute value of 15?
#4 what is the absolute value of -1.8?

Explanation:

For Question #3:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is the distance of \( x \) from 0 on the number line. So, if \( |x| = 15 \), then \( x = 15 \) or \( x = -15 \) because both 15 and -15 are 15 units away from 0.

Step2: Identify the two numbers

From the definition, the numbers with absolute value 15 are 15 and -15.

Step1: Recall absolute value property

The absolute value of a number is always non - negative. That is, for any real number \( a \), \( |a|=

$$\begin{cases}a, & a\geq0\\-a, & a < 0\end{cases}$$

\). So, if we want to find \( | - 1.8| \), since \( - 1.8<0 \), we use the second part of the definition, \( |-1.8|=-(-1.8) \).

Step2: Calculate the absolute value

Simplifying \( -(-1.8) \), we get 1.8. So the absolute value of - 1.8 is 1.8.

Answer:

15 and -15

For Question #4: