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Chapter 15: Problem 27

Simplify. $$ 32-(-7) $$

Short Answer

Expert verified
39.

Step by step solution

01

Recognize the Double Negative

When subtracting a negative number, it is equivalent to adding the positive of that number. The expression is: 32 - (-7).
02

Simplify the Expression

Convert the subtraction of a negative number to addition: 32 - (-7) = 32 + 7.
03

Perform the Addition

Add the two numbers together: 32 + 7 = 39.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Double Negatives
In mathematics, encountering a double negative can be confusing at first. However, grasping this concept is important. When you see a subtraction sign followed by a negative number, such as in the expression 32 - (-7), it's important to recognize that two negatives make a positive. This means that subtracting a negative number is the same as adding that number. So, in our example, 32 - (-7) turns into 32 + 7.
Performing Addition
Addition is one of the basic arithmetic operations. When you add two numbers, you combine their values to get a sum. Let's look at our expression after recognizing the double negative: 32 + 7. Here, we simply put together the value of 32 and the value of 7 to find the total. Adding these two numbers, we get:
  • 32 + 7 = 39
Remember, adding is about combining values. Always line up your numbers by their place values for clarity and correctness.
Simplifying Expressions Involving Subtraction
Subtraction might seem straightforward, but it can sometimes involve tricky concepts like double negatives. In an expression like 32 - (-7), we initially see a subtraction, but it morphs into an addition due to the double negative. Understanding this helps in correctly solving the problem. Simplifying an expression like this involves two main steps: recognizing and converting the double negative, and then performing the arithmetic operation. Here鈥檚 a simple breakdown:
  • Identify the double negative: 32 - (-7)
  • Convert it to addition: 32 + 7
  • Perform the addition: 32 + 7 = 39
By following these steps, simplifying expressions involving subtraction becomes much easier. Practice makes perfect, so keep working on similar problems to solidify your understanding.

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