What is Division in Math?
In maths, we have four basic arithmetic operations i.e., addition, subtraction, multiplication, and division. Amongst these four operations, the division is one of the major operations we use in our daily activities. It is the process of splitting a large group into equal smaller groups. For example, divide 25 by 5. Division fact for this example will be, 25 ÷ 5 = 5.
What Are the Two Types of Division?
The division is split into two parts i.e., partitive and quotative models. Partitive is used when dividing a number into a known number of slots. For example, if we divide 4 into 2 slots, we can find out how many items will be in each slot. Quotative division is used when dividing a number into slots of a measured quantity. For example, when we divide 4 into slots of 2, we can determine how many slots can be created.
What Are the Three Parts of Division?
The three main subsets or parts of division are dividends, quotient, and divisor.
What Is Long Division Method?
Long Division Method is the most common method used to solve problems on division. In this process, the divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the overbar on top of the dividend.
What Are the Steps of the Long Division Method?
The steps for long division are:
- Step 1: Take the first digit of the dividend. If this digit is greater than or equal to the divisor.
- Step 2: Then divide it by the divisor and write the answer on top.
- Step 3: Subtract the result from the digit and write below.
- Step 4: Again, repeat the same process.
How do You Divide When the Divisor is Bigger Than the Dividend?
In this case of division, we can simply keep on adding zeroes to the dividend until it becomes appropriate to divide further. Furthermore, we can divide the quotient by the same powers of 10 for the final answer once we get the division done correctly.
How to Divide Fractions?
Dividing fractions is also as easy as dividing any other two numbers. The numerator becomes the divisor, while the denominator becomes the dividend. However, in the division of fractions, we may end up getting the remainder more than often.
How to Divide Decimals?
Dividing decimals is also as easy as dividing any other two numbers. All you need to do is multiply the decimal with powers of ten till you get an integer. Then you can carry out the normal division process. Once you get your final answer, make sure to divide it with the same powers of 10 that you divided earlier with.
What are the Rules of Multiplication and Division of Integers?
The rules for the multiplication and division of integers are given below:
- Positive ÷ / × positive = positive
- Negative ÷ / × negative = positive
- Negative ÷ / × positive = negative
Why Division by Zero is Undefined?
Division by zero is undefined because one cannot divide any number by zero. This is because when any number is multiplied to zero, the answer is 0. Now, think the reverse of it. 1/0 will have infinite value. We can not quantify this value in mathematics. Hence, the division of any number by zero is undefined.
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