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Chapter 10: Problem 65

Find the opposite. (Change the sign.) $$ -24 $$

Short Answer

Expert verified
The opposite of -24 is 24.

Step by step solution

01

Identify the Given Number

The number provided in the exercise is -24.
02

Understand the Concept of Opposite

The opposite of a number is the same number with an opposite sign. For example, the opposite of a negative number is positive and vice versa.
03

Change the Sign

To find the opposite of -24, change the negative sign to a positive sign.
04

Write the Final Answer

The opposite of -24 is 24.

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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 can be identified easily by the minus sign (-) placed before them.
In our example, -24 is a negative number.
If you see a number with a minus sign, it means you're dealing with a negative number.
Negative numbers are often found in real-life scenarios, like temperatures below zero or a bank account deficit.
Understanding negative numbers is crucial in math because they extend the range of values we can work with.
positive numbers
Positive numbers are greater than zero and don't have a sign in front of them (although you can think of them as having an invisible plus sign).
These are the numbers you first learn about, like 1, 2, and 3.
Positive numbers are everywhere in daily life including counting items, measuring distances, and your bank balance in surplus.
When you switch from a negative number to its opposite, you get a positive number. For instance, the opposite of -24 is 24.
sign change
Changing the sign of a number means making a positive number negative or a negative number positive.
This is also referred to as finding the opposite of a number.
To change the sign of a negative number like -24 to its positive form, you remove the negative sign.
Conversely, if you have a positive number, you can make it negative by adding a minus sign in front of it.
Mastering sign changes is essential for solving equations and understanding math operations.
basic arithmetic
Basic arithmetic includes addition, subtraction, multiplication, and division.
These operations are the foundation of almost all math concepts.
When dealing with positive and negative numbers, it's important to remember how these operations work:
  • Addition: Combining two numbers. For example, -24 + 24 = 0.

  • Subtraction: Taking one number away from another. For example, 24 - 24 = 0.

  • Multiplication: Repeated addition of a number. For example, -24 x -1 = 24.

  • Division: Splitting a number into equal parts. For example, -24 / -1 = 24.
Remember that multiplying or dividing two negative numbers results in a positive number.

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Most popular questions from this chapter

Divide. $$ -\frac{5}{8} \div\left(-\frac{6}{5}\right) $$

Multiply. \(-2 \cdot(-5) \cdot(-3) \cdot(-5)\)

Determine the sign of each expression if \(m\) is negative and \(n\) is positive. $$ \frac{-n}{m} $$

Multiply. \(4 \cdot(-4) \cdot(-5) \cdot(-12)\)

Simplify. $$ 8[(6-13)-11] $$
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