Real Number Systems (8.2A/B)

Front

What is a natural number?

Back

A natural number is a positive integer, starting from 1, and does not include zero or negative numbers.

Front

What is a whole number?

Back

Whole numbers are all natural numbers including zero. They are non-negative integers.

Front

What is an integer?

Back

Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals.

Front

What is a rational number?

Back

A rational number is any number 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 cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating.

Front

What is a real number?

Back

Real numbers include all rational and irrational numbers. They can be found on the number line.

Front

Is zero a natural number?

Back

No, zero is not considered a natural number.

Front

Is every whole number a rational number?

Back

Yes, every whole number is also a rational number because it can be expressed as a fraction with a denominator of 1.

Front

What is the square root of 20 between which two integers?

Back

The square root of 20 is between 4 and 5.

Front

What are the properties of rational numbers?

Back

Rational numbers can be added, subtracted, multiplied, and divided (except by zero) and will always yield a rational result.