Brief definition Integers are a set of counting or natural numbers classified as positive, negative including zero. It is a whole number. Therefore, it cannot be a decimal, percent or a fraction. Positive integers are whole numbers greater than zero and are found to the right of zero on the number line; however, negative integers are whole numbers less than zero and are found to the left of zero on the number line. Integers are real numbers, but not all real numbers are integers since it is composed of rational and irrational numbers.
The lessons that involve integers start in 6th grade. In this level, integers are introduced using a number line to show the arrangement of the numbers. Also, integer-related lessons in 6th grade show the different uses of the concept in real life.
Importance of the Topic There are many different kinds of numbers that we encounter in Mathematics. It is essential to identify how integers differ from the other subsets of real numbers. Learning integers is a tool to represent or describe ideas above a standard value or below a standard value, compare and arrange real numbers in a number line, and understand how to add, subtract, multiply, and divide integers.
Application of the Learned Topic in Life Integers are everywhere and used all the time. Learning the concept of integers, you will be able to represent and interpret positive and negative numbers. For example, if you are going down the stairs 2 steps, you may represent it as -2. Also, when recognizing temperatures, where -17°C is colder than -15°C. Integers are also present in sports like hockey, where a rule plus/minus is applied. In banks, if you deposited $150, it represents a positive number. However, if you withdrew $150, it can be represented as -$150. Another application of integers represents how far the submarine is from sea level. We know that a submarine stays under the water; thus, the length from the submarine to sea level can be represented as a negative number. These are just some applications of integers in real life, and there are many more.