Chapter 1: Q 63. (page 37)

In the following exercises, simplify.
$|15 - 7| - |14 - 6|$

Short Answer

Expert verified

The simplified value is 0.

Step by step solution

Step 1. Concept Used.

The absolute value of a number $x$ is equal to the distance between $x$ and 0 on the number line.

Step 2. Perform Subtraction.

Subtract 7 from 15 and 6 from 14 within the absolute value bars.

$|8| - |8|$

Step 3. Simplify the absolute value bars.

The distance of 8 from 0 is 8 units. So, $|8| = 8$ .

$\begin{array}{rcl} |8| - |8| & = & 8 - 8 \\ = & 0 \end{array}$

Step 4. Conclusion.

The simplified value of $|15 - 7| - |14 - 6|$ is 0.

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In the following exercises, simplify.
$|15 - 7| - |14 - 6|$

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Perform Subtraction.

Step 3. Simplify the absolute value bars.

Step 4. Conclusion.

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In the following exercises, simplify.15-7−14-6

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Perform Subtraction.

Step 3. Simplify the absolute value bars.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify.
$|15 - 7| - |14 - 6|$