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Chapter 1: Problem 64

Use \(>\) or \(<\) for \(\square\) to write a true sentence. $$ 0 \square 11 $$

Short Answer

Expert verified
0 < 11

Step by step solution

01

Understand the Symbols

The symbols > and < represent 'greater than' and 'less than', respectively. Determine which symbol will make the statement true.
02

Compare the Numbers

Compare 0 and 11. Since 0 is a smaller number than 11, identify whether 'greater than' or 'less than' is correct.
03

Select the Correct Symbol

Based on the comparison, 0 is less than 11. Therefore, the correct symbol to use is <.

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Key Concepts

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

greater than
When we use the term 'greater than', we compare two numbers to see which one is larger. This is shown using the symbol \(>\). For example, if we have the numbers 7 and 3, we say 7 is greater than 3, written as 7 > 3.
When comparing numbers, always make sure to check the value of each number.
Larger numbers are always 'greater than' smaller numbers.
If you understand this, you can easily identify 'greater than' in any comparison.
less than
Using 'less than' means one number is smaller than another. We use the symbol \(<\) to show this comparison.
For instance, if you compare 2 and 5, you would write 2 < 5, meaning 2 is less than 5. It works simply by identifying the smaller value and placing it before the \(<\) symbol.
This helps to easily understand which is the smaller number in any comparison you are doing.
inequality symbols
Inequality symbols are used to compare two values. The most common inequality symbols are \(>\) and \(<\).
The symbol \(>\) denotes that the value on the left is greater than the value on the right, while \(<\) denotes that the value on the left is less than the one on the right.
Inequality symbols are essential in comparing numbers and understanding their relative sizes. Make sure to always place the numbers correctly to reflect a true relationship.
basic arithmetic
Basic arithmetic involves simple operations like addition, subtraction, multiplication, and division.
Understanding these operations helps in comparing numbers quickly.
For example, through addition, if we know 10 + 2 equals 12, we can easily identify that 12 is greater than 10 and vice versa.
Mastering arithmetic is crucial for solving more complex mathematical problems and making comparisons accurately.

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