Properties of real numbers and the real number system

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; it cannot be written as a ratio of two integers.

Front

What is the property of zero in multiplication?

Back

The property of zero states that the product of any number and zero is zero.

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...). They do not include zero or negative numbers.

Front

What are whole numbers?

Back

Whole numbers are the set of non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What are integers?

Back

Integers are the set of whole numbers that include negative numbers, zero, and positive numbers (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

What is the commutative property of addition?

Back

The commutative property of addition states that changing the order of the addends does not change the sum (a + b = b + a).

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that changing the order of the factors does not change the product (a × b = b × a).

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped does not change their sum ((a + b) + c = a + (b + c)).