Big Ideas Math: Modeling Real Life, Grade 7
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3. The Percent Equation
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Exercise 6 Page 251

The distance between two numbers on a number line is the absolute value of the difference of the two numbers.

2 units

Practice makes perfect
We want to determine the distance between - 23 and 43 on a number line. Let's begin by plotting the numbers on the number line!
plotting point

We want to find and interpret the distance between the points on the diagram. First, we can recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.

Now, we can use this information to determine the distance between - 23 and 43. We can do so by substituting - 23 for p and 43 for q in the distance expression.
|p-q|
| - 2/3- 4/3|
Subtract fractions
|- 2/3-4/3|
|- 2-4/3|
|- 6/3|
|- 6/3|
|- 2|
2
The distance between - 23 and 43 is equal to 2 units.