b Use a number line to determine the absolute value.
C
c Use a number line to determine the absolute value.
D
d First simplify the expression inside the absolute value.
A
a 54
B
b - 7 35
C
c 2
D
d 2.93
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 |54|=54.
b To begin, we will focus on simplifying the absolute value. We can use a number line to determine |- 7 35| in the same way as in Part A.
From the number line, we can see that |- 7 35| is equal to 7 35. We can substitute this into the given expression and simplify.
- |- 7 35| =- 7 35
c Let's begin by simplifying the individual absolute values using a number line. The absolute value of a number is the distance between this number and 0 on a number line.
From the number line, we can see that |3|=3 and |- 1|=1. We can substitute these values into the given expression and simplify.
d Before we calculate the absolute value, we need to simplify the expression inside the absolute value.
|2.2-5.13| = |- 2.93|
Now we can determine the absolute value using a number line. The absolute value of a number is the distance between this number and 0 on a number line.
