Problem 68
Question
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 4 and 15
Step-by-Step Solution
Verified Answer
The absolute value expression for the distance between the numbers 4 and 15 is 11.
1Step 1: Formulate the Absolute Value Expression
The absolute value of an expression involving two numbers \(a\) and \(b\) is formulated as \(|a - b|\). In this instance, the numbers are 4 and 15 and therefore the absolute value expression becomes \(|4 - 15|\).
2Step 2: Simplify the Expression Inside the Absolute Value
The inside of the absolute value is simplified first, so \(4 - 15 = -11\). The simplified absolute value expression becomes \(|-11|\).
3Step 3: Evaluate the Absolute Value Expression
The absolute value of a negative number is positive, so \(|-11|\) evaluates to 11.
Other exercises in this chapter
Problem 68
Simplify each complex rational expression. $$\frac{\frac{x}{x-2}+1}{\frac{3}{x^{2}-4}+1}$$
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Write each number in decimal notation without the use of exponents. $$7 \times 10^{-5}$$
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Factor completely, or state that the polynomial is prime. $$ 2 x^{4}-162 $$
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Find each product. $$ (x-3 y)(2 x+7 y) $$
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