for any whole numbers a and b, a times b is a unique whole number. what property of multiplication is this
The property of multiplication that states that the product of two whole numbers is also a whole number is called the Closure Property of Multiplication.
The property of multiplication that states that the product of any two whole numbers is always a unique whole number is called the closure property.
The property of multiplication that describes the statement you mentioned is known as the closure property. The closure property states that when you multiply two whole numbers, the result will always be a unique whole number.
To understand why this is the case, let's break it down step by step:
1. Whole numbers: Whole numbers are the numbers starting from zero (0), 1, 2, 3, and so on. They do not include fractions or decimals.
2. Multiplication: Multiplication is an arithmetic operation that combines two numbers (multiplier and multiplicand) to obtain a product. For example, multiplying 3 by 4, denoted as 3 × 4, gives us a product of 12.
3. Closure property: The closure property states that when you perform an operation (in this case, multiplication) on two whole numbers, the result will always be another whole number.
To verify this property, you can try multiplying any two whole numbers together, and you will find that the result is always a whole number. This demonstrates that multiplication satisfies the closure property for whole numbers.