Real Number System -- Remediation

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 are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

Front

Give an example of an irrational number.

Back

The square root of 2 (√2) is an example of an irrational number.

Front

What is the square root of 81?

Back

The square root of 81 is 9.

Front

Which of the following is irrational: Square root of 9, Square root of 12?

Back

Square root of 12 is irrational.

Front

What is the difference between integers and whole numbers?

Back

Whole numbers include all non-negative integers (0, 1, 2, ...), while integers include both positive and negative whole numbers.

Front

Is -2 a whole number?

Back

No, -2 is not a whole number; it is a negative integer.

Front

What is a false statement about rational numbers?

Back

Every decimal number is an irrational number is false; some decimal numbers are rational.

Front

What is the definition of a decimal number?

Back

A decimal number is a number that includes a decimal point, representing a fraction of a whole.