![]() ![]() Whole numbers are not closed under division: When you divide a whole number by another whole number, the result may not always be a whole number.įor example, 7 ÷ 2 is not a whole number, but 8 ÷ 4 is a whole number.Ģ. Similarly, when we multiply any whole number by 1, then the value of the actual number remains unchanged.ġ. The identity element for addition is 0 and the identity element for multiplication is 1.īy the above examples, we can say that if zero is added to any whole number, then the value of the original number does not change. It means that if a, b and c are whole numbers then. Multiplication is distributive over addition and subtraction. Let a, b, and c are three whole numbers, then.įrom the above examples, we can observe that the result is not affected by the change in the order of numbers. This means that changing the grouping of the numbers when adding or multiplying them will not affect the result. Whole numbers have the associative property of addition and multiplication. This means that the order of the numbers does not matter when adding or multiplying them.įrom the above examples we can observe that the result is not affected by the change in the order of numbers. Whole numbers have the commutative property of addition and multiplication. The resulting values in the above examples are whole numbers. This means that if you add or multiply two whole numbers, the result will always be another whole number. Whole numbers are closed under addition and multiplication. Properties of Whole Numbers Closure Property Whole numbers do not include negative numbers or fractions. Whole numbers are the set of numbers that includes all positive integers (1, 2, 3. The reading material provided on this page for Properties of Whole Numbers is specifically designed for students in grades 5 and 6.
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