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Math > Pre Algebra > Operations, Expressions, and Variables

Operations, Expressions, and Variables

Whole Numbers

The whole numbers are the counting numbers and 0. The whole numbers are 0, 1, 2, 3, 4, 5, ... and so on.

Place Value

The position, or place, of a digit in a number written in standard form determines the actual value the digit represents. Read more about place value

Expanded Form

The expanded form of a number is the sum of the values of each digit of that number. Read more about the expanded form

Rounding Whole Numbers

To round to the nearest ten means to find the closest number having all zeros to the right of the tens place. Read more on how to round whole numbers

Commutative Property of Addition and Multiplication

The commutative property of addition says that we can add numbers in any order. The commutative property

Associative Property

Both addition and multiplication can actually be done with two numbers at a time. So if there are more numbers in the expression, how do we decide which two to " associate " first? The associative property

Distributive Property

The distributive property comes into play when an expression involves both addition and multiplication. A longer name for it is, "the distributive property of multiplication over addition." Read more about the distributive property

The Zero Property of Addition

Adding 0 to a number leaves it unchanged. We call 0 the additive identity.

Example:

88 + 0 = 88

The Zero Property of Multiplication

Multiplying any number by 0 gives 0.

Example

88 × 0 = 0
0 × 1003 = 0

IDENTITY PROPERTY

The identity property for addition tells us that zero added to any number is the number itself. Read more on the identity property

Order of Operations

The order of operations defines the order in which expressions with multiple operators (e.g. multiplication, addition) should be computed. The order of operations

Variables and expressions

A variable is a symbol that represents a number. Read more about variables and expressions


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