Math Problem Statement

[(9 – (-6)) ÷ (-5) + 5] – 16

Solution

Let's solve the expression step by step:

Given expression:
((9(6))÷(5)+5)16\left( (9 - (-6)) \div (-5) + 5 \right) - 16

Step 1: Simplify inside the parentheses

  • 9(6)=9+6=159 - (-6) = 9 + 6 = 15

Now the expression becomes: (15÷(5)+5)16\left( 15 \div (-5) + 5 \right) - 16

Step 2: Perform the division

  • 15÷(5)=315 \div (-5) = -3

Now the expression becomes: (3+5)16\left( -3 + 5 \right) - 16

Step 3: Add inside the parentheses

  • 3+5=2-3 + 5 = 2

Now the expression becomes: 2162 - 16

Step 4: Perform the subtraction

  • 216=142 - 16 = -14

So, the value of the expression is: 14\boxed{-14}

Would you like further clarification or details on any of the steps?

Here are some related questions for practice:

  1. Simplify: [(12+(8))÷4]7[(12 + (-8)) ÷ 4] - 7
  2. What is [(7(3))÷(4)]+6[(7 - (-3)) ÷ (-4)] + 6?
  3. Solve: [(10÷(2))+4]3[(10 ÷ (-2)) + 4] - 3
  4. Simplify: [(1812)÷(3)]+2[(18 - 12) ÷ (-3)] + 2
  5. What is [(5+(2))÷(1)]+9[(5 + (-2)) ÷ (-1)] + 9?

Tip: Always follow the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic
Negative Numbers

Formulas

a ÷ b (Division)
a + b (Addition)
a - b (Subtraction)

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8