Math Problem Statement

(-6+\left(-30\right)\div 5-\left(-2\right))

Solution

Let's solve the expression step by step:

6+(30)÷5(2)-6 + \left( -30 \right) \div 5 - \left( -2 \right)

Step 1: Division

First, perform the division (30)÷5\left( -30 \right) \div 5:

30÷5=6-30 \div 5 = -6

Now substitute that into the expression:

6+(6)(2)-6 + (-6) - (-2)

Step 2: Simplification

Next, simplify the addition and subtraction:

6+(6)=12-6 + (-6) = -12

12(2)=12+2=10-12 - (-2) = -12 + 2 = -10

Final Answer:

The value of the expression is 10\boxed{-10}.

Would you like more details or further clarification on this?

Here are 5 related questions for practice:

  1. Evaluate 8+(40)÷4(3)-8 + (-40) \div 4 - (-3).
  2. Simplify 10+(20)÷5(7)-10 + (-20) \div 5 - (-7).
  3. Solve 5+(25)÷5(1)-5 + (-25) \div 5 - (-1).
  4. Evaluate 9+(36)÷6(4)-9 + (-36) \div 6 - (-4).
  5. Simplify 7+(35)÷7(6)-7 + (-35) \div 7 - (-6).

Tip: Always perform division or multiplication before addition and subtraction, following the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Integers
Basic Arithmetic

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8