**Division Integers** **Rules** are the rules used when we want to find the factors of a number. division integers are written like this:

(number) ÷ (division integer)

For example, if we wanted to divide 123 by 4, we would write (123) ÷ (4). This would tell us that we need to divide 123 by 3 to get the answer, and then divide 123 by 2 to get the final answer.

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**Division Integers** **Rules**

The division of integers is a very important concept in mathematics. It is used to solve problems, and it is also one of the basic operations of arithmetic. The division of integers is a process of determining which number is smaller when two numbers are divided. There are rules that govern how division works, and these rules can be applied to any integer division problem. Here are the four basic rules of integer division:

1. The quotient is always smaller than the dividend.

2. The dividend is always greater than or equal to the quotient.

3. The remainder is always zero when two integers are divided by a whole number.

4. If one integer is negative, then the other must also be negative for division by that integer to produce a non-zero remainder.

**Integer rules for addition and ****subtraction**

Integer addition is based on the principle of adding like numbers. For example, if you add 3 and 5, the answer is 10 because 3 + 5 = 10. On the other hand, if you add 2 and 4, the answer is 6 because 2 + 4 = 6. The order of operations determines which operation to perform first: Parentheses, Exponents (ie Powers and Square Roots), Multiplication, and Division (left-to-right).

Here are some basic integer addition rules:

To add two whole numbers, simply add them together. No parentheses are necessary.

To add two fractions (ie a number that has been divided by another number), use the same rules as for whole numbers except that you must convert the fraction to a whole number before adding it to the other number.

**Integer rules for subtraction can be summarized as follows:**

-To subtract two whole numbers, start by removing the smallest number from both sets and solving for the difference.

-If the difference is zero, then the numbers are equal and there is no need to continue. If the difference is not zero, then move on to step 3.

-For integer division (ie., when dividing two whole numbers), start by multiplying each number by its own divisor (the number that tells you how many times to divide it by).

-Then take away the result of the multiplication from each number and solve for the difference.

**Integer rules for multiplication and division**

Integer multiplication is a process of multiplying two integers together. There are several rules that can be followed to help with this process. The first rule is to use the leftmost digit of each number. The next rule is to use the digits in order, from left to right. Finally, when one integer cannot be multiplied by itself (e.g. 2 and 2), it must be multiplied by another number (3 in this example).

**Integer rules for Division:**

The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right). The order of operations can be a bit confusing at first, but it’s important to remember it if you want to do arithmetic correctly.

For example, let’s say you want to divide 84 by 5. To do this, you would first divide 84 by 3 to get 16. Then you would divide 16 by 5 to get 4. Finally, you would add 4 back into the equation to get 120.

**Conclusion **

We have covered the division integers rules. We have first discussed the basic properties of division integers and then given several examples.