Chapter 1: Q 1.26. (page 26)

Simplify: $9 - |8 - 4 (7 - 5)|$ .

Short Answer

Expert verified

The simplified value is 9.

Step by step solution

Step 1. Given Information.

Consider the given expression,

$9 - |8 - 4 (7 - 5)|$

Step 2. Perform Subtraction.

Start with the innermost grouping symbol, which is parentheses in this case. Subtract 5 from 7 inside the parentheses.

$9 - |8 - 4 (2)|$

Step 3. Perform Multiplication.

Multiply 4 by 2 within the absolute value bars.

$9 - |8 - 8|$

Step 4. Perform Subtraction.

Subtract 8 from 8 within the absolute value bars.

$9 - |0|$

Step 5. Simplification.

The distance of 0 from itself is 0, so the absolute value of 0 is 0. This implies that $|0| = 0$ .

Substitute 0 for $|0|$ in the obtained expression and subtract.

$\begin{array}{rcl} 9 - |0| & = & 9 - 0 \\ = & 9 \end{array}$

Step 6. Conclusion.

The simplified value of $9 - |8 - 4 (7 - 5)|$ is 9.

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Simplify: $9 - |8 - 4 (7 - 5)|$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Perform Subtraction.

Step 3. Perform Multiplication.

Step 4. Perform Subtraction.

Step 5. Simplification.

Step 6. Conclusion.

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Simplify: 9-8-47-5.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Perform Subtraction.

Step 3. Perform Multiplication.

Step 4. Perform Subtraction.

Step 5. Simplification.

Step 6. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Simplify: $9 - |8 - 4 (7 - 5)|$ .