Identity Property of Multiplication
The Identity Property of Multiplication states that any number multiplied by 1 equals that number: 1 x n = n. In 4th grade math with Saxon Math Intermediate 4, Chapter 3, students learn that 1 is the multiplicative identity — multiplying by 1 keeps a number's identity unchanged. For example, 1 x 25 = 25 and 1,000,000 x 1 = 1,000,000. This property pairs with the Zero Property of Multiplication and is foundational for simplifying algebraic expressions and understanding fraction equivalence in later grades.
Key Concepts
Property $1 \times n = n$.
Examples $1 \times 25 = 25$. $1 \times 12 = 12$. $1,000,000 \times 1 = 1,000,000$.
Explanation The number 1 is like a magic mirror. Any number multiplied by 1 sees itself as the answer. It keeps its 'identity,' which makes it the easiest multiplication fact ever!
Common Questions
What is the Identity Property of Multiplication?
The Identity Property of Multiplication states that any number times 1 equals that number. For example, 7 x 1 = 7 and 1 x 100 = 100. The number 1 is called the multiplicative identity.
Why is 1 called the multiplicative identity?
Because multiplying by 1 leaves a number unchanged — it keeps the number identical. One group of something is just that something, so multiplying by 1 never changes the value.
What is an example of the Identity Property of Multiplication?
1 x 25 = 25, 1,000,000 x 1 = 1,000,000, and 1 x 0 = 0. Any number, no matter how large or small, stays itself when multiplied by 1.
What is the difference between the Identity Property of Addition and the Identity Property of Multiplication?
Addition: any number + 0 = the number (0 is the additive identity). Multiplication: any number x 1 = the number (1 is the multiplicative identity). Each operation has its own identity element.
When do 4th graders learn the Identity Property of Multiplication?
In Saxon Math Intermediate 4, Chapter 3, Lessons 21-30, students learn the Identity and Zero properties of multiplication as fundamental rules that apply to all multiplication.
How does the Identity Property of Multiplication appear in fractions?
Multiplying a fraction by 1 (in any form, such as 2/2 or 5/5) keeps its value the same, just in equivalent fraction form. This is the basis for creating equivalent fractions, a core skill in 4th and 5th grade.