Compare and Order Real Numbers

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as a fraction or ratio of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

How do you compare two real numbers?

Back

To compare two real numbers, determine their positions on the number line; the number further to the right is greater.

Front

What is the decimal representation of 1/4?

Back

0.25

Front

Order the following numbers from least to greatest: -1, 0, 0.5, -0.5.

Back

-1, -0.5, 0, 0.5

Front

What is the square root of 25?

Back

5

Front

Is 0.333... a rational number?

Back

Yes, 0.333... is a rational number because it can be expressed as 1/3.

Front

What is the cube root of 125?

Back

5

Front

How do you identify a repeating decimal?

Back

A repeating decimal has one or more digits that repeat infinitely, such as 0.666... or 4.7777... .