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Chapter 2: Problem 67

Write in symbols, do not simplify. The opposite of negative 2

Short Answer

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2

Step by step solution

01

Identify the Given Number

The given number is negative 2.
02

Determine the Opposite

To find the opposite of a number, change its sign. If the number is negative, its opposite will be positive and vice versa.
03

Express in Symbol

The opposite of negative 2 is positive 2.

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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 written with a minus sign (-) in front of them.
Examples of negative numbers are -1, -5, and -8. Negative numbers are often used to represent debts, temperatures below zero, or any situation where we go below a starting point.
Understanding how to work with negative numbers is important because they have different properties compared to positive numbers.
One important thing to remember is that if you add a negative number to another negative number, you get a more negative number. For example, -2 + (-3) = -5.
Positive Numbers
Positive numbers are greater than zero and are written without any sign in front of them.
Examples include 1, 5, and 10. Positive numbers indicate a gain, an increase, or a value above a reference point.
Unlike negative numbers, adding two positive numbers together results in a larger positive number. For instance, 3 + 4 = 7.
Sometimes understanding the difference between positive and negative numbers can be confusing. One tip is to think about positive numbers as going forward and negative numbers as going backward.
Number Properties
Numbers have different properties that help us understand and work with them.
For example:
  • Additive Inverse: The opposite of a number is called its additive inverse. For instance, the opposite of -2 is +2. This means if you add -2 and +2, you get zero.
  • Sign Change: To find the opposite of a number, simply change its sign. A positive number becomes negative, and a negative number becomes positive.
  • Real Numbers: Both negative and positive numbers are part of the set of real numbers, which also includes zero.
  • Absolute Value: The absolute value of a number is the distance from zero without considering the direction. For example, both -3 and 3 have an absolute value of 3.
Understanding these properties helps you solve problems accurately. By mastering number properties, you can easily determine the opposite of numbers and solve related math problems.

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Most popular questions from this chapter

Assume \(a>0\) (this means that \(a\) is positive) and \(b<0\) (this means that \(b\) is negative). Find the sign of each expression. $$b \div a$$

Perform the indicated operation. $$24(-2)$$

Simplify. $$(-1)^{2}$$

Translate each English phrase to a mathematical expression. Then simplify. The difference of 105 and 110

Assume \(a>0\) (this means that \(a\) is positive) and \(b<0\) (this means that \(b\) is negative). Find the sign of each expression. $$a-b$$
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