![]() ForĮxample, all the numbers that belong in the yellow cells below Symbol for 10, all multiples of 10 and some other numbers. In each of the following cases, say whether the answer is a natural number or not. Other natural numbers? If so, what is it? Is there a largest natural number, in other words, a natural number that is larger than all Is there a smallest natural number, that means a natural number that is smaller than all other natural Integers are also applied in sports to show goal differences.Is not closed under subtraction or division. Integer are also used to describe the temperature of a body either below or above zero centigrade. In banking, integers are used to denote either a debit or a credit. ![]() The population can never be negative and hence whole numbers are used. For instance, whole numbers are used to define the population of a given group of quantities. Integers and whole numbers are widely applied in different fields. If x is a whole number then x/0 = undefined. ![]() X + (y + z) = (x + y) + z and x * (y z) = (x y) z Multiplication of a whole number by 1 leaves the number unchanged if x is a whole number, then x * 1 = x If x and y are whole numbers x + y = y + x and x * y=y * xĪddition of zero to a whole number leaves the number unchanged y + 0 = y The closure property of addition and multiplication implies, if x and y are whole numbers, then the product x * y and the sum x + y is also a whole number. ![]() Now let us see some the properties of whole numbers: Division on the other may not result in getting a fraction or a whole number. Multiplication of two whole numbers results in a whole number. However, subtraction of two whole numbers may result in a whole number of an integer. These properties are based on operations such as adding, subtracting, dividing and multiplying.įor example, the sum of two whole numbers is always a whole. Zero is a neutral number on the number line. These numbers are represented on the number line to the left of origin. Negative numbers are symbolized with a dash or minus sign in front of the numerical value. Positive numbers are represented to the right of zero on the number line.Įxamples of positive numbers are: 1,2, 88, 800,9900, etc. Positive numbers are greater than negative numbers as well a zero. In most cases, the plus sign is ignored simply represented without the symbol. Positive number are whole numbers having a plus sign (+) in front the numerical value. If you are still doubting, what an integer and a whole number are? Then the flow chart below will give you a more comprehensive understanding. Therefore, whole numbers are contained in integers. In short, integers comprise of negative, positive and zero numbers whereas whole numbers comprise of only positive and zero numbers. įrom the above definition of whole numbers and integers, it can be noted that, all whole numbers are integers but not all integers are whole numbers. In Mathematics, integers are sets of whole numbers inclusive of positive, negative and zero numbers usually represented by ‘ Zahlen’ symbol Z=. After this discussion you won’t make any more mistakes when using integers and whole numbers. In this article, we are going to learn about integers and whole numbers. For this reason, many students are perplexed when they encounter problems involving integers and whole numbers. Integers and whole numbers seem to mean the same thing but in real since, the two terms are different.
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