Problem 82 Simplify. $$ 256 \div(-32) \... [FREE SOLUTION] (2024)

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Understanding the rules for negative and positive numbers is essential for solving math problems. When dealing with these numbers, here are some handy rules to remember:

• Dividing a positive number by a negative number results in a negative number.
  For example, \[ \frac{256}{-32} = -8 \]
• Dividing two negative numbers results in a positive number.
  For example, \[ \frac{-8}{-4} = 2 \]

These rules arise because division is essentially the reverse of multiplication, and the properties of positive and negative numbers in multiplication carry over to division. Always keep these rules in mind as they can help you quickly and accurately solve expressions involving negative and positive numbers and avoid common mistakes.

Solving problems step-by-step is crucial to avoid confusion and ensure accuracy. Here’s how to approach problems methodically:

• Start by identifying the operations and their order. Use the PEMDAS rule to decide which operation to perform first.
• Perform one operation at a time. Simplify the expression gradually instead of doing everything at once. This minimizes errors and makes it easier to catch mistakes.
• Write down each step. Seeing the entire process can help clarify the overall solution and catch any mistakes early.

Let’s revisit our example: \[ 256 \div (-32) \div (-4) \]

• First, divide 256 by -32, which gives us -8.
• Next, take this result and divide it by -4, resulting in 2.

By going through each step thoughtfully, we simplify the expression accurately and efficiently. Remember, practice makes perfect, so keep solving problems step-by-step to build your confidence and skills.