Math Problem Statement

Evaluate the expression: 13 - (6.5 - |-3/4|) * (-3)^2 - 9 * 1/4

Solution

Let's break down the expression shown in the image step by step:

The expression is:

13(6.534)×(3)29×1413 - \left( 6.5 - \left| -\frac{3}{4} \right| \right) \times (-3)^2 - 9 \times \frac{1}{4}

Step-by-Step Solution:

  1. Evaluate the absolute value: 34=34\left| -\frac{3}{4} \right| = \frac{3}{4} So the expression becomes: [ 13 - \left( 6.

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Math Problem Analysis

Mathematical Concepts

Rational Number Operations
Absolute Value
Order of Operations (PEMDAS)
Exponents
Multiplication
Subtraction

Formulas

Absolute Value
Order of Operations (PEMDAS)

Theorems

Properties of Exponents
Distributive Property

Suitable Grade Level

Grade 7