IM2 Flashcard 2 Review - Real Numbers

Front

What type of number is π?

Back

Irrational - π is a non-repeating, non-terminating decimal.

Front

Which number is an irrational number? 2.5, 5.72314....., -17, 1/2

Back

5.72314..... - It cannot be expressed as a fraction.

Front

The square root of 36 is ...

Back

Rational - The square root of 36 is 6, which is a whole number.

Front

A decimal that stops is which type of number? Example: 2.75

Back

Rational - It can be expressed as a fraction (2.75 = 11/4).

Front

The sum of two rational numbers is...

Back

Rational - The sum of two rational numbers is always rational.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal form is non-repeating and non-terminating.

Front

Is the number -3 rational or irrational?

Back

Rational - It can be expressed as -3/1.

Front

What is the square root of 25?

Back

5 - The square root of 25 is a rational number.

Front

Is 0.333... a rational number?

Back

Yes - It can be expressed as 1/3.