![]() ![]() Suppose we have two integers, – 523 and 937 and we want to find their sum. Therefore, by the rules stated above, we will add the absolute value of both the numbers and assign a positive sign to them. We can see that both the numbers are of the same sign and are positive integers. Suppose we have two integers, 12 and we want to find their sum.įirst, we will check the sign of both numbers. To add a positive or a negative integer, we determine the difference of their absolute values and assign the sum of the addend having greater absolute value.To add two positive integers or two negative integers, we add their absolute values and assign the sign of the addends to the sum.the following rules are to be followed for the addition of integers – We can add integers in the same manner with the only difference being that we have to perform the addition of negative numbers as well. Rules for the addition of positive and negative integers Let us plot 6 and – 6 on the number line. As is clearly visible, as we move from left to right, there is an increase in the value of integers while it decreases when we move from right to left. Integers are represented on a number line as shown below –Ībove is a visual representation of a standard number line for representing integers. The numbers increase as we move towards the right side of a number line while they decrease as we move left. Primary operations such as addition, subtraction, multiplication, and division can all be performed on a number line. Recall that a number line is a straight horizontal line with numbers placed at even intervals that provides a visual representation of numbers. We have learnt how to represent whole numbers on a number line. Negative and Positive Integers on a Number Line For instance, + 5 can also be written as simply 5. It is important to note here if no sign is associated with a number, it is read as a positive number. Hence, here the symbol has been used for the addition of two numbers. This will be read as “ five plus three “. We can see here that the “ + “ is between two numbers. Similarly, + 17 will be read as “ plus seventeen “. However, the context in which this symbol is used makes it clear, whether we mean to use it for a positive integer or addition. We use the symbol “ + “ to denote positive integers and the same symbol is used to indicate addition. Hence, here the symbol has been used for the subtraction of two numbers. This will be read as “ five minus three “. We can see here that the “ – “ is between two numbers. Similarly, – 17 will be read as “ minus seventeen “. ![]() However, the context in which this symbol is used makes it clear, whether we mean to use it for a negative integer or subtraction. We use the symbol “ – “ to denote negative integers and the same symbol is used to indicate subtraction. are natural numbers and are called positive integers while the numbers – 1, – 2, – 3 etc. If we combine these negative numbers with the positive ones, together we get a set of numbers which we call integers. So, – 1 is called the negative of 1, -2 is called the negative of 2 and each negative number is the opposite of its positive counterpart. ![]() These numbers are called minus one, minus two, minus three etc. Z = What are negative and positive integers?Ĭorresponding to natural numbers, 1, 2, 3, 4, 5 …… etc, we create new numbers, -1, -2, -3, -4 ,-5 and so on. The set of integers is represented by Z and can be written as – Hence, we can say that integers are the collection of whole numbers and negative numbers. In other words, an integer is a whole number that can be positive, negative, or zero.
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