Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. The Percent Equation
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Exercise 8 Page 251

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

11.8 units

Practice makes perfect
We want to determine the distance between - 4.3 and 7.5 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 - 4.3 and 7.5. We can do so by substituting - 4.3 for p and 7.5 for q in the distance expression.
|p-q|
| - 4.3- 7.5|
|- 11.8|
11.8
The distance between - 4.3 and 7.5 is equal to 11.8 units.