Math Problem Statement

  1. [–1 – (–5)] |–3 + –2|

Solution

Let's break down the expression step by step:

6.[1(5)]3+26. \quad [–1 – (–5)] \, |–3 + –2|

Step 1: Simplify inside the brackets

First, simplify inside the brackets: 1(5)=1+5=4–1 – (–5) = –1 + 5 = 4

Now the expression becomes: 43+24 \, |–3 + –2|

Step 2: Simplify inside the absolute value bars

Next, simplify inside the absolute value: 3+2=5–3 + –2 = –5

Now the expression is: 454 \, |–5|

Step 3: Apply the absolute value

The absolute value of 5-5 is 55: 5=5|–5| = 5

Now the expression is: 4×54 \times 5

Step 4: Multiply

Finally, multiply: 4×5=204 \times 5 = 20

So the result of the expression is: 20\boxed{20}


Would you like more details or have any questions on the steps?

Here are some related questions to help you practice:

  1. Simplify: [3(7)]2+5[3 – (–7)] \, |–2 + 5|
  2. What is the result of 2×4+62 \times | –4 + 6 |?
  3. Simplify: 7+[3(8)]7 + [–3 – (–8)]
  4. Evaluate: 9+34|–9 + 3| – 4
  5. Solve: [4+(3)]×2+5[–4 + (–3)] \times |2 + 5|

Tip: Always simplify inside parentheses and absolute value bars first to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Absolute Value

Formulas

|a| = a if a >= 0, |a| = -a if a < 0

Theorems

Order of Operations (PEMDAS)
Properties of Absolute Value

Suitable Grade Level

Grades 6-8