PRACTICE Irrational vs Rational Numbers

PRACTICE Irrational vs Rational Numbers

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Examples include 1/2, 3, and -4.

2.

FLASHCARD QUESTION

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as \( \frac{a}{b} \) where \( a \) and \( b \) are integers. Examples include \( \pi \) and \( \sqrt{2} \).

3.

FLASHCARD QUESTION

Front

Which of the following is a rational number: \( \sqrt{127} \), \( \pi \), 2.5, or 8.98763...?

Back

2.5 is a rational number because it can be expressed as \( \frac{25}{10} \) or \( \frac{5}{2} \).

4.

FLASHCARD QUESTION

Front

Is \( \sqrt{81} \) rational or irrational?

Back

Rational, because \( \sqrt{81} = 9 \), which is an integer.

5.

FLASHCARD QUESTION

Front

What is \( \sqrt{36} \)?

Back

6, because \( 6 \times 6 = 36 \).

6.

FLASHCARD QUESTION

Front

What is \( \sqrt{64} \)?

Back

8, because \( 8 \times 8 = 64 \).

7.

FLASHCARD QUESTION

Front

Is the number 0.4444444... rational or irrational?

Back

Rational, because it can be expressed as \( \frac{4}{9} \).

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