![]() The principle of associative property states that the sum and product of three or more whole numbers remain the same irrespective of how you group them. According to the commutative property, we can add them in any order and still get the same answer. Let’s say we have two whole numbers, 2 and 3. That is, a + b = b + a and a x b = b x a, where a and b are whole numbers. The commutative property states that the order of the numbers does not affect the sum and product of any two whole numbers. So, if you take any two whole numbers, a and b, and add them together (a + b) or multiply them (a x b), the result will always be a whole number. This pattern holds for any two numbers you add or multiply. If we multiply them, we get 10, which is also a whole number. If we add them together, we get 7, which is also a whole number. For example, we have two whole numbers, 2 and 5. The closure property states that the sum and product of any two whole numbers is also a whole number. Here are some of the properties of whole numbers: Closure property It also aids in performing operations with whole numbers, such as addition and subtraction, and comparing and ordering them. The number line helps us understand the relationship between whole numbers and their position on the natural number line. Similarly, to plot the whole number -3, we start at zero, count three units to the left, and mark the point corresponding to -3 on the number line. The point that corresponds to 4 is then marked on the number line. For example, to plot the whole number 4, we start at zero and count four units to the right. To plot a whole number on a number line, we can find its position by counting the number of units to the right of zero for positive whole numbers or to the left of zero for negative whole numbers. The number line starts at zero and extends in both directions to infinity. On a number line, each whole number is represented by a point placed at an equal distance from the other points. The number line visually represents the actual number system, and whole numbers are plotted on this line. “ℤ” represents the set of all integers, including positive and negative whole numbers, while “ℤ⁺” represents only the positive numbers. The symbol used to represent whole numbers is “W” or “ℤ⁺” (pronounced as “Z plus”). In addition, they are the foundation for arithmetic operations such as addition, subtraction, division, and multiplication. Whole numbers are essential in mathematics as they are used to count, label, and order items or values. They do not include fractions or decimals. What is a whole number? Whole numbers are a set of positive integers which can be described as the primary number sequence, 1,2,3… and their negative counterparts -1, -2, -3, … A simple whole numbers definition is that they are numbers that can also be called non-negative integers or counting numbers. One of these basic structures is whole numbers. In kindergarten and through the grade levels, kids explore these foundations and use them as a stepping stone before they counter more challenging math problems. Zero to the power 0 (0 0) is not defined.Math evolves into more complex structures that would confuse anyone who has no basic foundation in the subject.Zero raised to any power(except 0) gives 0.Any number divided by 0 is not defined.Zero divided my any number(except 0) gives 0.Multiplication with zero- 0 multiplied with any number always gives 0.Hence, 0 is the additive identity for all numbers. Zero added to any number gives the number itself."Zero is the only difference between natural and whole numbers." Zero is the only whole number which is not a natural number. Natural Numbers can further be sub-divided into different types :. Natural Numbers are also called counting numbers. What are Natural Numbers?Natural numbers are the set of positive integers, that is, integers from 1 to ∞ excluding fractional n decimal part. 5÷7 = a fraction, thus it will not be a whole number. ![]() Thus whole numbers are not closed under division.Įg. Dividing a whole number by another does not always give a whole number.Thus whole numbers are closed under multiplication. Multiplication of whole numbers always gives a whole number.5-7 = -2, which is a negative integer and not a whole number. Thus whole numbers are not closed under subtraction.Įg. Subtraction of whole numbers does not always give a whole number.Thus whole numbers are closed under addition. Addition of whole numbers always gives a whole number.Natural numbers along with zero(0) are whole numbers. They do not have any decimal or fractional part. What are Whole Numbers ?Whole numbers are the set of positive integers.
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