Which Comparison Symbol Belongs In The Blank?$488 \div 20 \quad \_ \quad 655 \div 25$A. $\ \textless \ $ B. \$=$[/tex\] C. $\ \textgreater \ $
Introduction
In mathematics, comparison symbols are used to compare the values of two expressions. These symbols are essential in various mathematical operations, including division, multiplication, addition, and subtraction. In this article, we will explore which comparison symbol belongs in the blank in the given expression: $488 \div 20 \quad _ \quad 655 \div 25$
Understanding the Expression
The given expression involves two division operations: $488 \div 20$ and $655 \div 25$. To determine which comparison symbol belongs in the blank, we need to evaluate the results of these division operations.
Evaluating the Division Operations
To evaluate the division operations, we will divide the numerator by the denominator.
Comparing the Results
Now that we have the results of the division operations, we can compare them to determine which comparison symbol belongs in the blank.
Comparison
Since $24.4$ is less than $26.2$, the correct comparison symbol is $\textless$.
Conclusion
In conclusion, the correct comparison symbol that belongs in the blank is $\textless$. This is because $24.4$ is less than $26.2$, making $\textless$ the correct comparison symbol.
Comparison Symbols
Comparison symbols are used to compare the values of two expressions. The most common comparison symbols are:
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\textless$ (less than)
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\textgreater$ (greater than)
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=$ (equal to)
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\neq$ (not equal to)
Real-World Applications
Comparison symbols have various real-world applications, including:
- Finance: Comparison symbols are used to compare the values of stocks, bonds, and other financial instruments.
- Science: Comparison symbols are used to compare the values of experimental results and theoretical predictions.
- Engineering: Comparison symbols are used to compare the values of design parameters and performance metrics.
Tips and Tricks
Here are some tips and tricks to help you master comparison symbols:
- Understand the concept of equality: Equality is a fundamental concept in mathematics, and it is essential to understand what it means for two expressions to be equal.
- Use comparison symbols correctly: Comparison symbols should be used correctly to avoid confusion and errors.
- Practice, practice, practice: Practice is key to mastering comparison symbols. The more you practice, the more comfortable you will become with using comparison symbols.
Common Mistakes
Here are some common mistakes to avoid when using comparison symbols:
- Confusing equality and inequality: Equality and inequality are two distinct concepts, and it is essential to understand the difference between them.
- Using comparison symbols incorrectly: Comparison symbols should be used correctly to avoid confusion and errors.
- Not practicing enough: Not practicing enough can lead to a lack of understanding and confidence when using comparison symbols.
Conclusion
In conclusion, comparison symbols are an essential part of mathematics, and they have various real-world applications. By understanding the concept of equality, using comparison symbols correctly, and practicing regularly, you can master comparison symbols and become more confident in your mathematical abilities.
Final Answer
Q: What is the purpose of comparison symbols in mathematics?
A: Comparison symbols are used to compare the values of two expressions. They are essential in various mathematical operations, including division, multiplication, addition, and subtraction.
Q: What are the most common comparison symbols?
A: The most common comparison symbols are:
-
\textless$ (less than)
-
\textgreater$ (greater than)
-
=$ (equal to)
-
\neq$ (not equal to)
Q: How do I determine which comparison symbol to use?
A: To determine which comparison symbol to use, you need to evaluate the results of the two expressions being compared. If the first expression is less than the second expression, use $\textless$. If the first expression is greater than the second expression, use $\textgreater$. If the two expressions are equal, use $=$. If the two expressions are not equal, use $\neq$.
Q: What is the difference between $\textless$ and $\textgreater$?
A: $\textless$ is used to indicate that the first expression is less than the second expression, while $\textgreater$ is used to indicate that the first expression is greater than the second expression.
Q: Can I use comparison symbols with fractions?
A: Yes, you can use comparison symbols with fractions. For example, if you have the fraction $\frac{1}{2}$ and you want to compare it to the fraction $\frac{3}{4}$, you can use the comparison symbol $\textless$ to indicate that $\frac{1}{2}$ is less than $\frac{3}{4}$.
Q: Can I use comparison symbols with decimals?
A: Yes, you can use comparison symbols with decimals. For example, if you have the decimal $0.5$ and you want to compare it to the decimal $0.7$, you can use the comparison symbol $\textless$ to indicate that $0.5$ is less than $0.7$.
Q: Can I use comparison symbols with negative numbers?
A: Yes, you can use comparison symbols with negative numbers. For example, if you have the negative number $-5$ and you want to compare it to the negative number $-3$, you can use the comparison symbol $\textless$ to indicate that $-5$ is less than $-3$.
Q: Can I use comparison symbols with mixed numbers?
A: Yes, you can use comparison symbols with mixed numbers. For example, if you have the mixed number $2\frac{1}{2}$ and you want to compare it to the mixed number $3\frac{1}{4}$, you can use the comparison symbol $\textless$ to indicate that $2\frac{1}{2}$ is less than $3\frac{1}{4}$.
Q: Can I use comparison symbols with variables?
A: Yes, you can use comparison symbols with variables. For example, if you have the variable $x$ and you want to compare it to the value $5$, you can use the comparison symbol $\textless$ to indicate that $x$ is less than $5$.
Q: Can I use comparison symbols with inequalities?
A: Yes, you can use comparison symbols with inequalities. For example, if you have the inequality $x > 5$, you can use the comparison symbol $\textgreater$ to indicate that $x$ is greater than $5$.
Conclusion
In conclusion, comparison symbols are an essential part of mathematics, and they have various real-world applications. By understanding the concept of equality, using comparison symbols correctly, and practicing regularly, you can master comparison symbols and become more confident in your mathematical abilities.
Final Answer
The final answer is: