Math Problem Statement

Evaluate the following expression. [10 \times (-9 + (-6))]

Solution

To evaluate the expression:
10×(9+(6))10 \times (-9 + (-6))

Step 1: Simplify the expression inside the parentheses

9+(6)=96=15-9 + (-6) = -9 - 6 = -15

Step 2: Multiply by 1010

10×(15)=15010 \times (-15) = -150

Final Answer:

150-150

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5 Related Questions:

  1. How do you evaluate expressions with multiple operations (e.g., addition, subtraction, multiplication)?
  2. What are the rules for multiplying negative numbers?
  3. How can parentheses change the outcome of an expression?
  4. How would this problem change if it were 10÷(9+(6))10 \div (-9 + (-6))?
  5. What is the distributive property and how does it apply to problems like this?

Tip:

When adding or subtracting negative numbers, think of them on a number line to visualize the result. For example, 9+(6)-9 + (-6) means moving 6 steps left from 9-9.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Negative Numbers

Formulas

Distributive Property (if applied explicitly)
Order of Operations (PEMDAS/BODMAS)

Theorems

Properties of Negative Numbers

Suitable Grade Level

Grades 6-8