Exploring Rational And Irrational Numbers - Worksheet With Answers

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Exploring Rational and Irrational Numbers
1. What is a Rational Number? Define it and provide an example.
A rational number is a number that can be written in ratio form. A
rational number is an integer or a fraction.
Example: 1/2
2. What is an Irrational Number? Define it and provide an example.
An irrational number is any real number that cannot be expressed as a
ratio a/b, where a and b are integers and b is non-zero. An irrational
number cannot be represented as a simple fraction, but can be
represented as a decimal
Example: √7
3. What are some things to look for to determine a Rational Number?
Simplest form, repeating decimals, fractions with numerators and
denominators both being integers, can be ordered on a number line,
terminating, and is a perfect square.
4. What are some things to look for to determine an Irrational Number?
No fractions, decimal forms, non-repeating decimals, cannot be ordered
on a number line, non-terminating, and is not a perfect square.

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