Rules of Operation With Integers

The rules of operations with integers are as follows:

  • If the signs of the two integers are the same, then the sum equals the sum of the two absolute values of the two integers together with the sign that connects the two integers.
  • When two integers to be added have different signs, the sum will be equal to the difference in the two numbers, using the absolute value and the sign of the number with the largest absolute value.
  • Difference between the two integers is equivalent to the sum of the first integer and the additive inverse of the second integer.
  • Any two integers multiplied together will yield a positive integer if both of the integers have the same sign.
  • Multiplication of two integers results in a negative value if the two integers are of opposite signs.
  • Quotient of two integers is positive if both integers share the same sign and negative if the two integers are of different signs.
  • Additive identity zero is also true which states that the addition of zero to an integer will not alter its value.

Operations of Integers

Operations with integers involve performing calculations with positive and negative whole numbers. Gaining an insight into these operations is very important for solving many mathematics problems and practical applications.

This article will focus on operations of integers starting from addition, subtraction, multiplication and division and illustrate through the use of a number line.

Table of Content

  • What are Integers?
  • Operations of Integers
  • Addition Operation of Integers
  • Subtraction Operation of Integers
  • Multiplication Operation of Integers
  • Division Operation of Integers
  • Rules of Operation With Integers
  • Examples on Operations of Integers

Similar Reads

What are Integers?

Integers can therefore be described as a subset of the real number system which consists of whole positive numbers (1, 2, 3…), whole negative numbers (…, -3, -2,-1) and the zero. Integers can also be represented by the use of a number line with a positive integer being displayed to the right of the zero while the negative integer is displayed to the left, with the zero in between. Integers possess other characteristics such as closure whereby the outcome of adding, subtracting or multiplying two integers or dividing one integer by another results in another integer....

Operations of Integers

A number line is a straight line showing the real numbers by successively placing the numbers on the line; the intervals between each one of the numbers are equal. The positive numbers are the numbers greater than zero and they appear to the right of the number line, while the negative numbers are the numbers smaller than zero and they are to the left of the number line. On the number line, zero stands as the central or prime point or position, then followed by numbers in the ascending order....

Addition Operation of Integers

Arithmetic addition is one of the natural operations in mathematics and can be done on integers using the number line. That is when adding two integers we step ahead on the number line for positive integers and step backwards for the negative integers. The addition of two integers is the number that is obtained when a certain number has been added to the respective integer....

Subtraction Operation of Integers

Subtraction operation is the reverse of addition and can be solved using the number line with integers. Therefore when performing subtraction of 2 integers we add for the left on the number line for positive integers and right for the negative integers. The number that is obtained by taking the corresponding steps is called the difference between two integers....

Multiplication Operation of Integers

Multiplication is a repeated addition operation that can be performed on integers. The product of two integers is the result of adding one integer a certain number of times, as specified by the other integer. The rules for multiplying integers are as follows:...

Division Operation of Integers

Division is special since it is the opposite operation of multiplication and applies to integers. Division, also known as quotient, indicates the number of times that the number being divided is contained in the other number being divided. The rules for dividing integers are as follows:...

Rules of Operation With Integers

The rules of operations with integers are as follows:...

Conclusion

Mathematics which comprises operations with whole numbers that are either positive or negative is the Integer operation. It is important to understand operations that include addition, subtraction, multiplication, and division to solve mathematical computations as well as real-life problems. In this way, with rules and properties of integers, it is not difficult to add numbers subtract them or multiply or divide them to solve a calculation or to get a certain value. Virtually all calculations that follow are built on these operations, hence putting a strong and unshakable foundation for further mathematical learning and problem-solving....

Examples on Operations of Integers

Example 1: Find the sum of 7 and 9....

Practice Questions on Operations of Integers

Q1. Find the sum of -5 and -7....

FAQs on Operations of Integers

How many Operations are there with Integers?...