Math Problem Statement

  1. [–1 – (–5)] |–3 + –2|

Solution

Let's break down the given mathematical expression step by step:

[1(5)]×3+(2)[-1 - (-5)] \times | -3 + (-2) |

Step 1: Simplify the first bracket

1(5)=1+5=4-1 - (-5) = -1 + 5 = 4

Step 2: Simplify the absolute value expression

3+(2)=32=5-3 + (-2) = -3 - 2 = -5

Taking the absolute value: 5=5|-5| = 5

Step 3: Multiply the results

4×5=204 \times 5 = 20

Final Answer:

20\mathbf{20}

Would you like a more detailed explanation or another example?

Related Questions:

  1. How do absolute values affect negative numbers in equations?
  2. What are the rules for adding and subtracting negative numbers?
  3. How does the distributive property apply to similar expressions?
  4. What happens when multiplying positive and negative numbers?
  5. Can absolute values ever be negative?

Tip:

When dealing with expressions inside brackets, always resolve operations in the correct order: parentheses, exponents, multiplication/division, and addition/subtraction (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Absolute Value
Multiplication of Integers

Formulas

|x| = distance from 0
PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Theorems

Properties of Absolute Values
Rules for Operations with Negative Numbers

Suitable Grade Level

Grades 6-8