In this lesson, we will learn:
- What is the additive identity property of zero
- What is the multiplicative identity property of one
- How to write the general formulas/equations for the identity properties
- What are the three properties of zero?
- How the identity properties are different from the properties of zero
- How to write the general formulas/equations for properties of zero
- The identity property is observed when the identity of the original number does NOT change after the equal sign. The answer will be the same number that you started with.
- The numbers can be any real number (whole numbers, fractions, decimals, integers, etc.)
- The word “identity” can mean who you are or what you are
- The identity property only happens for TWO cases in math:
- For addition: adding zero to any number will NOT change that number
- Ex. 8 + 0 = 8
- Ex. 0.5 + 0 = 0.5
- Ex. + 0 =
- For multiplication: multiplying any number by one will NOT change that number
- Ex. 8 × 1 = 8
- Ex. 1.47 × 1 = 1.47
- Ex. × 1 =
- The general formulas for the identity property (where a is variable that represent a real number) are:
- It is important to know the properties of zero – *what happens when you multiply and divide by zero so that you don't get them confused with the identity property of zero
- There are three properties of zero:
- (1) when you multiply by zero, the answer will always be zero
- (2) when zero is divided by any number, the answer will always be zero
- (3) when you attempt to divide any number by zero, the answer will always be undefined
- The general formulas for the properties of zero are:
- - - - - - - - - - - - - - - - -
Introduction to the identity property of addition and multiplication (and properties of zero):
Why is it called the "identity" property?
The general formulas for the identity property
The three properties of zero involving multiplication and division (a × 0 = 0; 0 ÷ a = 0; and a ÷ 0 = undefined)
The general formulas for the properties of zero
Additive identity property of 0
Use the additive identity of 0 to fill in the blanks.
0 + __ =
Multiplicative identity property of 1
Use the multiplicative identity of 1 to fill in the blanks.
Multiplying and dividing using properties of 0
Use the properties of 0 to fill in the blanks.
× 0 = __
Identity properties and all four operations
What happens to the identity of number 46 when:
Identity properties word problem
are real numbers with secret identities:
What happens to a when it is added to 0
What happens to b when it is multiplied with 1
What happens to c when it is multiplied with 0
What happens to a when it is divided by 0