![]() ![]() The whole number is closed under multiplication. Suppose, a and b are the two whole numbers and a × b = c, then c is also a whole number. Multiplication of two whole numbers will result in a whole number. ![]() ![]() Properties of Multiplication Closure Property When we subtract zero from a whole number, the value of the whole number remains the same. If ‘a’, ‘b’, and ‘c’ are the three whole numbers then, a − (b − c) ≠ (a − b) − c. Order of subtraction is an important factor. This means that we cannot group any two whole numbers and subtract them first. Associative PropertyĪn associative property does not hold for the subtraction of whole numbers. Let a and b be two whole numbers, then a − b ≠ b − a. This means we cannot subtract two whole numbers in any order and get the same result. Subtraction of two whole numbers is not commutative. Take a = 7 and b = 5, a − b = 7 − 5 = 2 and b − a = 5 − 7 = −2 (not a whole number). If a and b are two whole numbers and a − b = c, then c is not always a whole number. This means that the whole numbers are not closed under subtraction. When one whole number is subtracted from another, the difference is not always a whole number. Properties of Subtraction Closure Property If w is a whole number, then w + 0 = w = 0 + w. Zero is the additive identity of whole numbers. This is the property of zero by which the value of the whole number remains the same when added to any whole number. If a, b, and c are three whole numbers, then a + (b + c) = (a + b) + c = (a + c) + b. This is the associative property of addition. Or, in other words, the numbers can be grouped in any manner. The order of addition of numbers is not important. When we add three or more whole numbers, the value of the sum remains the same. Let a and b are two whole numbers, then a + b = b + a. This property of the whole numbers tells that the order of addition does not change the value of the sum. If a and b are two whole numbers and a + b = c, then c is also a whole number. It means that the whole numbers are closed under addition. This is the closure property of the whole numbers. Two whole numbers add up to give another whole number. The properties of whole numbers are given below. Here, we will learn properties of whole numbers on the basic arithmetic operations like addition, subtraction, multiplication, and division. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |