Classifying Real Numbers

Front

What are the main sets of real numbers?

Back

The main sets of real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Front

What is a natural number?

Back

A natural number is a positive integer, starting from 1 and going upwards (1, 2, 3, ...).

Front

What is a whole number?

Back

A whole number is a non-negative integer, including zero (0, 1, 2, 3, ...).

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction 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 (e.g., √2, π).

Front

How do you convert a mixed number to a decimal?

Back

To convert a mixed number to a decimal, convert the fractional part to a decimal and add it to the whole number.

Front

What is the decimal equivalent of 2 3/4?

Back

The decimal equivalent of 2 3/4 is 2.75.

Front

True or False: All integers are positive numbers.

Back

False. Integers can be positive, negative, or zero.

Front

True or False: All rational numbers are whole numbers.

Back

False. Rational numbers include fractions and decimals, which are not whole numbers.