Math Problem Statement

(9/3*|-7+5|)-4+2

Solution

Let's solve the given expression step by step:

(93×7+5)4+2\left( \frac{9}{3} \times \left| -7 + 5 \right| \right) - 4 + 2

Step 1: Solve the absolute value

7+5=2=2|-7 + 5| = |-2| = 2

Step 2: Perform division

93=3\frac{9}{3} = 3

Step 3: Multiply

3×2=63 \times 2 = 6

Step 4: Subtract and add

64+2=2+2=46 - 4 + 2 = 2 + 2 = 4

Final Answer:

4\boxed{4}

Would you like a more detailed explanation?

Here are five related questions to practice:

  1. (10/2×8+3)5+3(10/2 \times | -8 + 3 | ) - 5 + 3
  2. 124×6+13+5\frac{12}{4} \times | -6 + 1 | - 3 + 5
  3. (15/5×9+4)6+4(15/5 \times | -9 + 4 | ) - 6 + 4
  4. (8/2×5+2)3+1(8/2 \times | -5 + 2 | ) - 3 + 1
  5. (6/3×4+6)2+3(6/3 \times | -4 + 6 | ) - 2 + 3

Math Tip:

Always solve absolute values first before performing other operations to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Absolute Value
Multiplication
Addition and Subtraction

Formulas

Order of operations (PEMDAS)
Absolute value formula |a| = a if a ≥ 0, |a| = -a if a < 0

Theorems

PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Suitable Grade Level

Grades 6-8