Real Number System

Front

What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line. This includes rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

Define Rational Numbers.

Back

Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b 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, such as √2 and π.

Front

What is an Integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is a Whole Number?

Back

Whole numbers are non-negative integers, including zero. Examples are 0, 1, 2, 3, etc.

Front

What is a Natural Number?

Back

Natural numbers are the set of positive integers starting from 1. Examples are 1, 2, 3, etc.

Front

What is the difference between Rational and Irrational Numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimals.

Front

What is a Decimal?

Back

A decimal is a way of expressing numbers that are not whole numbers, using a decimal point to separate the whole part from the fractional part.

Front

What is the Absolute Value of a Number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |−3| = 3 and |3| = 3.

Front

What is a Perfect Square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are perfect squares.