Arithmetic Operators and Number Types

Natural numbers start from 1 and go upwards, while whole numbers include 0 along with the natural numbers.

Irrational numbers cannot be expressed as a fraction of two integers; an example is $rac{ ext{√2}}{1}$.

The commutative property states that for addition, $a + b = b + a$, meaning the order of numbers does not affect the sum.

<p>The distributive property indicates that $a × (b + c) = a × b + a × c$, meaning multiplication distributes over addition.</p> Signup and view all the answers

<p>Subtraction modifies a value by removing a certain amount, contrasting with addition which combines quantities.</p> Signup and view all the answers

<p>The associative property states that for addition, $(a + b) + c = (b + a) + c$, indicating that grouping of numbers does not affect the total.</p> Signup and view all the answers

<p>Operators modify values in arithmetic operations, with basic operators being addition (+), subtraction (-), multiplication (*), and division (/).</p> Signup and view all the answers

<p>Rational numbers can be expressed as the ratio of two integers, while irrational numbers cannot.</p> Signup and view all the answers

Numbers used for counting, starting from 1 and increasing infinitely.

Numbers used for counting, starting from 0 and increasing infinitely.

All positive and negative numbers, including zero. They can be represented on a number line.

Numbers that can be expressed as a fraction, where the numerator and denominator are integers. They can be positive, negative, or zero.

Numbers that cannot be expressed as a fraction, like pi (π) or the square root of 2. They can be positive, negative, or zero.

Operations that combine or change the value of numbers.

The order in which you add or multiply numbers does not affect the result.

How you group numbers in addition or multiplication does not affect the result.