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)1 + (-5) rational or irrational?\newlineChoices:\newline(A) rational\newline(B) irrational
Solution:
  1. Evaluate 1+51 + -5: Evaluate 1+51 + -5.\newlineAdd 11 and 5-5.\newline1+5=41 + -5 = -4
  2. Add 11 and 5-5: We found:\newline1+(5)=41 + (-5) = -4\newlineIdentify whether 1+(5)1 + (-5) is a rational or irrational number.\newline4-4 is a rational number because it can be expressed as a fraction 41-\frac{4}{1}.\newline1+(5)1 + (-5) is a rational number.

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