Integer addition has never been this simple before. To easily add any two integers, use this online adding integers calculator.
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What is Integer?
Often referred to as directed numbers, integers are numbers that may be thought of as both positive and negative whole numbers.
There are an endless number of them, some of which are given below: I = {. . .,−3,−2,−1, 0, 1, 2, 3, . . .}. The standard symbol for describing integers is ‘I’.
There is an equal and opposite negative number for every positive integer. In actual life, integers are used to demonstrate that some values can be negative.
A temperature that is 25° below zero is represented by the symbol -25°, and one that is 17° above it is represented by the symbol +17°, or more simply by the number 17°.
How to Use Adding Integers Calculator?
- This integer addition calculator is designed in such a way that even a young child can use it successfully.
- You can compute the addition of two integers in just two steps.
- Enter the first integer in the first input box, followed by the second in the second input box.
- The sum of the two integers will be instantly returned by the calculator.
Adding Integers Formula
The formulas listed below are used for adding integers. Four formulas illustrate the four situations that could arise when adding integers.
How to Add Integers?
Listening to the term “addition” may cause you to smile. Because everyone knows that addition is one of the simplest mathematical terms to grasp. However, we should remind you that we are discussing integer addition here.
Due to the fact that integers can be both positive and negative, you must exercise caution while adding integers if even a single number has the negative sign (-). since even one negative sign (-) can alter the outcome.
For you to fully grasp the idea of the addition of integers even with negative numbers, we have solved every type of case below.
Example
1. Add Integers +9 & +27?
Solution :
Let’s start with a simple example. Because both numbers are positive, there is no need to think twice about performing the addition. Simply follow the standard addition procedure.
We’ll use the above formula where both values are positive.
∴ (+) + (+) = (+)
∴ (+9) + (+27) = +36 or 36
The addition of integers +9 and +27 is +36.
Example
2. Add integers -25 & -13?
Solution :
Since both of the integers in this problem are negative(-), we will proceed in the same manner as for the preceding example, but we must implement the second formula provided above.
∴ (-) + (-) = (-)
∴ (-25) + (-13) = -38
As both the integers have negative sign the answer will also get a negative sign(-)
The addition of integers -25 and -13 is -38.
Example
3. Add integers +125 & -85?
Solution :
Both of the integers in this problem have opposite signs; one is positive and the other is negative. Because the positive integer is greater than the negative integer in this situation (125>85), you will use the third formula.
∴ (+) + (-) = (+)
∴ (+125) + (-85) = (+)
Important Note : Since the signs of the integers in the first two examples were identical, we did not pay much care when adding the numbers. But we need to exercise caution as the integers’ signs diverge from one another. Here, a single minus (-) sign can convert an addition into a subtraction.
Since the operation is positive and the second integer has a negative sign, (+) (-) = (-). This forces us to execute a two-number subtraction, but the outcome will always bear the sign of the larger number.
∴ (+125) + (-85) = +40
As the larger number has positive sign the result will also get the positive sign.
Trick : When adding two integers, if the signs of the integers differ, simply subtract the smaller number from the larger number. When you have the result, give it the sign of the larger number.
The addition of integers +125 and -85 is +40.
Example
4. Add integers +60 & -120?
Solution :
Even in this problem, the signs of the integers are different. We will use the fourth formula because the larger number has a negative sign.
∴ (+) + (-) = (-)
∴ (+60) + (-120) = (-)
Because the operation is positive and the second integer is negative, (+) (-) = (-). Even in this example, we must perform a two-number subtraction. Simply subtract the smaller number from the larger number and apply the sign of the larger number to the result value.
∴ (+60) + (-120) = (-60)
Because the larger number has a negative sign, the answer will have a negative sign as well.
The addition of integers +60 and -120 is -60.