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Chapter 1: Problem 81

Fill in the blank with the inequality symbol \(<\) or \(>\). $$0 \square 3$$

Short Answer

Expert verified
0 < 3

Step by step solution

01

Understand the numbers

Identify and understand the given numbers: 0 and 3.
02

Compare the numbers

Compare the two numbers to determine which is greater. Recognize that 3 is greater than 0.
03

Select the correct inequality symbol

Since 3 is greater than 0, use the inequality symbol that represents 'less than'. The correct inequality symbol is `<`.
04

Fill in the blank

Replace the blank with the selected inequality symbol: 0 < 3.

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Key Concepts

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

Comparing Numbers
Comparing numbers is an essential skill in prealgebra. It helps us understand the size, value, and order of numbers. When comparing two numbers, we are identifying which one is larger, smaller, or if they are equal.

Let's break it down step by step:

1. **Identify the numbers**: Look at the numbers you need to compare. In our example, these numbers are 0 and 3.
2. **Understand their values**: Recognize that 0 represents no quantity while 3 represents three units of something.
3. **Determine the order**: Decide which number is greater. Here, clearly, 3 is larger than 0.

By following these steps, you accurately compare any two numbers.
Inequality Symbols
Inequality symbols are used to show the relationship between two numbers that are not equal. The most common inequality symbols are:

1. **'< (less than)'**: This symbol means the number on the left is smaller than the number on the right.
2. **'> (greater than)'**: This symbol means the number on the left is larger than the number on the right.

Let's apply this to our example:

Since 0 is less than 3, we use the '<鈥� symbol to create the inequality: 0 < 3.

Understanding and correctly using these symbols is crucial for accurately expressing relationships between numbers.
Greater Than and Less Than
Understanding the terms 'greater than' and 'less than' is vital in prealgebra. These terms help us describe and compare numbers.

**Greater Than**:
The term 'greater than' means that one number is larger than another. The symbol used is '>'.
Example: 5 > 2 (5 is greater than 2).

**Less Than**:
The term 'less than' means that one number is smaller than another. The symbol used is '<'.
Example: 1 < 4 (1 is less than 4).

In our exercise, using 'less than' was appropriate because 0 is smaller than 3, leading to the correct expression: 0 < 3.

By understanding these terms and their symbols, you can easily compare numbers and create accurate expressions.

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