/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 67 Express the distance between the... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 2 and 17

Short Answer

Expert verified
The distance between 2 and 17 is 15 units.

Step by step solution

01

Set Up the Absolute Value Expression

The distance between two numbers, a and b, on a number line can be obtained by the absolute value of their difference either \(|a - b|\) or \(|b - a|\). In this case, we need to calculate the distance between 2 and 17. Set it up as an expression: \(|2 - 17|\) or \(|17 - 2|\).
02

Calculate the Inside of Absolute Value

Now calculate the difference. For \(|2 - 17|\), it will become \(|-15|\) and for \(|17 - 2|\), it'll become \(|15|\). Both these expressions represent the same distance.
03

Evaluate the Absolute Value

The absolute value of -15 and 15 is 15. Therefore, the distance between 2 and 17 is 15 units.

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