# Identify Expressions As Rational And Irrational Worksheet

## 6 problems

Classifying numbers as rational or irrational involves determining whether a number can be expressed as a fraction of two integers. Rational numbers can be written as a quotient of integers, while irrational numbers cannot. These worksheets guide students through identifying and classifying numbers, reinforcing their understanding of number types.

For example: Identify the expression, sqrt16 + sqrt5 is rational or irrational.

Algebra 1
Algebra Foundations

## How Will This Worksheet Titled "Identify Expressions as Rational and Irrational" Benefit Your Student's Learning?

• Develops a clear understanding of rational and irrational numbers.
• Enhances problem-solving skills by practicing classification.
• Builds a strong foundation for higher-level math concepts.
• Improves analytical thinking by distinguishing between number types.
• Prepares students for standa...
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## Solved Example

Q. Is the number $1 + (-5)$ rational or irrational?$\newline$Choices:$\newline$(A) rational$\newline$(B) irrational
Solution:
1. Evaluate $1 + -5$: Evaluate $1 + -5$.$\newline$Add $1$ and $-5$.$\newline$$1 + -5 = -4$
2. Add $1$ and $-5$: We found:$\newline$$1 + (-5) = -4$$\newline$Identify whether $1 + (-5)$ is a rational or irrational number.$\newline$$-4$ is a rational number because it can be expressed as a fraction $-\frac{4}{1}$.$\newline$$1 + (-5)$ is a rational number.

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