Understanding Irrational Numbers 8th Grade Math Worksheets

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Irrational numbers (Q’) are numbers that cannot be expressed as the quotient of two integers.


Numbers with decimal expansion that is non-repeating and non-terminating are considered irrational numbers. All irrational numbers are real numbers. Most of the square roots fall into irrational category.


√4 = 2
2 can be written as a fraction
Therefore, √4 is a rational number.

√3 = 1.732050808…
1.732050808… cannot be written as fraction
Non-terminating decimals
Non-repeating decimals
Therefore, √3 is an irrational number.

Understanding Irrational Numbers Worksheets

This is a fantastic bundle which includes everything you need to know about Understanding Irrational Numbers across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 8 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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