# Math Worksheets Integers

Math Worksheets Integers are a great resource for teaching basic math concepts. The sheets come in both standard and new math formats and there are options to print the sheets on multiple pages so that students can use them in group settings. The sheets are helpful for teaching counting, addition, subtraction, multiplication, and division skills.

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Dive into the integer with these Math Worksheets Integers!

**Summary**: *An integer is a positive and negative number (including zero), however without the fractional parts (decimals). An integer is denoted by Z, Learning an integer is necessary for the students because it will help them to understand the integer applications in daily life. Integers have some basic rules to follow and properties that the student should master to understand the whole scheme of integers.*

### What is Integer?

An integer is a positive and negative valued number, including zero (0). A shorter definition would be a number without fractional parts (without decimals). An integer is denoted by Z. The integers develop from a set of counting numbers and the subtraction operation. The result of calculating the number subtracted from the same number is zero. For example, the result from 4-4 is zero (0). The outcome of a small number subtracted by a larger number is a negative number. For example, the result of 5-8 is -3. Integers have two other names, whole numbers and counting numbers. We can write the integers number like this: -5, -4. -3, -2, -1, 0, 1, 2, 3, 4, 5. Integers numbers include:

- The counting numbers (1, 2, 3)
- Zero (0).
- The negative of the counting numbers ( -3, -2, -1)

### What are the Real-Life Applications of Integers?

The integer is a mathematical invention that has influenced daily human life. The use of negative and positive numbers on our surroundings might be going on our notice, but it is there to provide us with much convenient information. Usually, they are used to show two contradicting moments, such as temperatures, the score of sport competition, company profit rate, the height of sea level, and more. For example, when the thermometer shows a positive number, we can assume that the temperature is relatively warm or hot. Meanwhile, when it displays a number below zero, we know that the temperature is leaning to the colder side. This example explains how integers help humans to compare and calculate two situations and to quantify things.

### What are the Rules of Integer?

There are some rules of integers that we need to understand to master them. Below are the rules of integers:

- The total of two positive integers is a positive integer.
- The result of a positive integer and a negative integer is negative.
- The product of two negative integers is a positive integer.
- The sum of an integer and its inverse is equal to zero (0).
- The result of an integer and its reciprocal is equivalent to one (1).

To sum up the integers rules, we should remember that if the signs are different, the result is negative. Meanwhile, if the symbol is similar, the answer is positive. Practice your skill on integers with the Math Worksheets integers on our website for free.

### What are the Steps of Integer Addition?

Integer Addition is a straightforward procedure with some basic steps that are easy to follow. There are two cases in integer addition, first is when we want to add integers with the same sign. The initial step is to take the absolute value of each number and add the pure values of the number, then keep the same symbol for the result.

The second case is when we want to add integers with different signs. The first step is to take the absolute value of each number and subtract the number with a smaller value from the number with a larger absolute value. Lastly, copy the symbol of the number with the larger absolute value.

### How to Teach Integers to Students?

Students usually learn about integers in the 6th grade. This topic might be a little complicated for some students, but with a lot of practice, they will master it completely. The integer is the first entry for students in learning math. This lesson will prepare them to enter a more complex mathematic topic. The teacher should give the students a lesson that they can relate to their everyday life to improve their understanding of integers. There are some essential keywords in integers that the students need to master (addition, negative, positive, opposite, parentheses, and subtraction). The teacher can use the Math Worksheets Integers to help the students practice their integer knowledge.

### What are the Properties of Integers?

There are five properties of integers, closure, associative, commutative, distributive, and identity property. We can apply all those properties to the whole, natural, rational, and real numbers. The closure property explains that the results of addition, subtraction, and multiplication of two integers are integers. The associative property states that the answer to the addition and multiplication of more than two integers is the same irrespective of the group of the integers. The commutative property has a similar explanation to the associative property. The distributive property shows that multiplication can be distributed over addition and subtraction. The identity property explains that any number added to zero (0) will have the same answer.

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