Number Systems Review

Front

What is a number system?

Back

A number system is a writing system for expressing numbers; it includes the set of symbols and rules for combining them to represent quantities.

Front

What are the main types of number systems?

Back

The main types of number systems include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Front

Define natural numbers.

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What are whole numbers?

Back

Whole numbers are the set of natural numbers including zero (0, 1, 2, 3, ...).

Front

Define integers.

Back

Integers are the set of whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

What are rational numbers?

Back

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

Front

Give an example of an irrational number.

Back

An example of an irrational number is √2 or π (pi), which cannot be expressed as a simple fraction.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What does it mean for a decimal to be repeating?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely, such as 0.̅2 for 2/9.

Front

What is the difference between 0.2 and 0.̅2?

Back

0.2 is a terminating decimal, while 0.̅2 is a repeating decimal representing the fraction 2/9.