Integers 101: Simple Math Concepts

Integers are fundamental numbers in mathematics that include several types of whole numbers.We can visualize integers on a number line that extends infinitely in both directions.Negative integers appear on the left side of zero.Zero is a special integer that serves as the center point of our number line.Positive integers are found on the right side of zero.It's important to understand what numbers are not integers. Numbers with decimal points or fractions are not integers.These numbers, while valid in mathematics, are not considered integers because they have parts between whole numbers.Let's review the key characteristics of integers. They are always whole numbers, without any fractional or decimal parts. They include all positive and negative whole numbers, as well as zero, and extend infinitely in both directions on the number line.When adding integers with the same sign, we add the absolute values and keep the sign.For example, negative four plus negative two. We add the absolute values four and two to get six, and keep the negative sign.When adding integers with different signs, we subtract the smaller absolute value from the larger, and use the sign of the larger number.For five plus negative three, five is larger than three, so we subtract three from five and keep the positive sign.For subtraction, we change the sign of the second number and add.When we subtract negative two from seven, it's the same as adding positive two to seven.Let's practice with more examples to reinforce these rules.Let's quickly review these important rules for working with integers.In the real world, integers help us track temperature changes. A drop of 5 degrees is represented as negative 5.Bank accounts use integers to track money flow. Deposits are positive numbers, while withdrawals are negative.Buildings use integers for floor numbers. Floors above ground are positive, while basement levels are negative numbers.In football, integers show yards gained or lost. A 15-yard gain is plus 15, while losing 5 yards is negative 5.As we've seen, integers are essential tools that help us measure and track changes in our daily lives.Remember, positive and negative integers help us represent real changes in the world around us.