a How many units is the number inside the absolute value from 0 on a number line?
B
b How many units is the number inside the absolute value from 0 on a number line?
C
c Simplify the expression inside the absolute value. Then, determine the distance between the difference and 0 on a number line.
D
d How many units is the number inside the absolute value from 0 on a number line?
A
a 0.75
B
b 99
C
c 2
D
d π
Practice makes perfect
a The absolute value of a number is the distance between that number and 0 on a number line. We can use a number line to visualize this distance.
From the number line, we can see that |0.75|=0.75.
b The absolute value of a number is the distance between that number and 0 on a number line. We can use a number line to visualize this distance.
From the number line, we can see that |-99|=99.
c Before we simplify the absolute value, we need to simplify the expression inside the absolute value. |4-2*3| = |4-6| = |-2|
Now we can determine the absolute value using a number line.
From the number line, we can see that |-2|=2. Thus, |4-2*3|=2.
d The absolute value of a number is the distance between that number and 0 on a number line. We can use a number line to visualize this distance. This time, the number inside the absolute value is π. We know that this number is somewhere next to 3.14.
