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Chapter 1: Problem 52

Find each difference. $$ -9-5 $$

Short Answer

Expert verified
-14

Step by step solution

01

Understand the Problem

To find the difference, you need to subtract one number from another. Here, we need to find the difference between -9 and 5. The problem can be written as -9 - 5.
02

Rewrite the Subtraction as Addition

Subtraction is the same as adding a negative. Thus, -9 - 5 can be rewritten as -9 + (-5)
03

Combine the Numbers

Combining -9 and -5 will result in a more negative value. Calculate -9 + (-5): \[ -9 + (-5) = -14\]

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Key Concepts

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

Negative Numbers
Negative numbers are numbers less than zero. They are often used to represent values below the usual zero point, like temperatures below freezing or debts.
  • Negative numbers are usually written with a minus sign in front of them, like this: -3, -7, -12.
  • On a number line, negative numbers are found to the left of zero.
  • When working with negative numbers, it's important to understand that they behave differently from positive numbers, especially in operations like addition and subtraction.
Knowing these basic concepts will help you deal with problems involving negative numbers.
Subtraction of Integers
Subtraction of integers can be tricky when negative numbers are involved. Let's break it down step by step.
When you see a problem like -9 - 5, you are asked to find the difference between -9 and 5.
  • Think of subtraction as adding a negative number. So, -9 - 5 can be rephrased as -9 + (-5).
  • The negative sign before 5 means you are essentially adding more negativity to -9.
This helps simplify the problem because now you can just add the two negative numbers together.
Addition of Negative Numbers
Adding negative numbers follows some simple rules.
When you add two negative numbers, the result is always more negative. For example, adding -9 and -5 gives us -14.
Here's how you do it:
  • Put the two negative numbers together: -9 + (-5).
  • Combine them by adding their absolute values: 9 + 5 = 14.
  • Add a negative sign to the result: -14.
So, -9 + (-5) equals -14. Remember, combining negatives makes a more negative number. Understanding this will make any arithmetic with negative numbers easier.

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Most popular questions from this chapter

Find each difference. $$ -\frac{3}{4}-\frac{5}{8} $$

Write a numerical expression for each phrase and simplify. See Examples 7 and \(8 .\) Two-thirds of the difference between 8 and \(-1\)

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