a First determine how many units from 0 on a number line the number inside the absolute value is. Then simplify the expression.
B
b Subtract and add inside the absolute value. Then determine the distance between the result and 0 on a number line.
C
c First determine how many units the number inside the absolute value is from 0 on a number line. Then evaluate the expression.
D
d First determine how many units the number inside the absolute value is from 0 on a number line. Then, evaluate the expression according to the order of operations.
A
a 1
B
b 2
C
c -11
D
d 28
Practice makes perfect
a Let's begin by simplifying the absolute value using a numbe line.
From the number line, we can see that |-4|=4. We can substitute this value into the given expression and simplify.
b Before we simplify the absolute value, we need to simplify the expression inside the absolute value. |6-11+3| = |- 2|
Now we can determine the absolute value using a number line.
From the number line, we can see that |-2|=2. Thus, |6-11+3|=2.
c From the previous part we know that |-2|=2 so we can move straight to simplifying.
