How does one easily solve mathematics-Twelve rules of division for solving mathematical problems-MDWIX Academy

 Easy and best twelve (12) methods for solving division and other mathematical calculation.

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Mathematics is always a fearing subject to most of the students. It is because of  it is the highest brain exercise subject. Peoples are much bother to think deeply. So it becomes  boring subject. But the science is based on mathematics, logic and rationality. So every scholar essentially needs to learn mathematics. MDWIX Academy is trying to make this subject understandable by providing some basic tips for mathematics. Today's subject is the simplest methods for division and factorization. In this article, we list the division rules, their formulas and some examples to help you learn and apply the rules of division. The rules of division are simple tools that you can use to make solving division problems quick and easy. You can also use the rules of division to evaluate larger, more complex division problems to estimate the results you can expect from your calculations. Learning and applying the rules of division definitely help you to solve division problems of future mathematical formulas that may be more complex. 

What is division?

  The division process is a mathematical process that splits apart a larger number into equal parts. In a division problem, there are several elements:

   The dividend is the larger number you're breaking apart. The divisor is the smaller number you're dividing into the dividend. The quotient results when dividing the dividend by the divisor. Sometimes a small part may be in undivided due short of some quantity. This residual part is called remainder.

What are the rules of division?

               The rules of division encompass simple memorization tools that help simplify a division calculation by forming patterns you can use to break down small and complex problems. The rules form criteria that a number must fit in order to divide cleanly into another number. Some division rules use small, single-step formulas to achieve a result, while others require two or three-step processes to evaluate a number's divisibility. Despite the size of some of these formulas, division rules can expedite the division process between large numbers.

Rules of division for solving mathematical problems:

Use the following division rules to help you solve simple and complex mathematical calculations:

Rules you can use when dividing by 1

The only rule that applies to one is that any integer (any number that is not a fraction) is always divisible by one. For example:

200 / 1 = 200

15 / 1 = 15

52 / 1 = 52

Divisibility rule for dividing by 2

You can test if you can divide a number by two the last digit is even (two, four, six, eight and so on). For example:

138 / 2 = 69

44 / 2 = 22

84 / 2 = 41

These examples are all divisible by two because they are all even numbers.

Rules for dividing by 3

            You can test if you can divide a number by three if you can divide the total of the digits by three. For example, assume you evaluate the number 222 to see if it's divisible by three. Add all the digits together and evaluate the result. If the result is also divisible by three, then your number is divisible by 3. Since the digits in 222 add up to three, and three is divisible by three, then 222 is also divisible by three. As another example, using the number 246, add all the digits together:

2 + 4 + 6 = 12

Since 12 is divisible by three, then the number 246 is divisible by three, too.

Rules to apply for dividing by 4

You can find out if a number is divisible by four by checking to see if the last two digits are divisible by four. As an example, assume you're trying to determine whether 345 is divisible by four. Seeing what the last digit is can give you your answer quickly. If the last two digit is a multiplication of four, then the whole number is also divisible by four. Take a look at the following examples:

124 is divisible by four because 24 is divisible by four.

124 / 4 = 31

216 is divisible by four because 16 is divisible by four.

216 / 4 = 54

Helpful rules for dividing by 5

You can test if you can divide a number by five if the last digit is a zero or a five.

The number 50 is divisible by five because the last digit is a zero.

50 / 5 = 10

185 is divisible by five because the last digit is a five.

185 / 5 = 37

Divisibility rules to use for 6

You can test if you can divide a number by six if it passes both the rules given for both two and three. A number divisible by six must be even and divisible by three. For example:

96 is even, and 96 is divisible by three, meaning 96 is divisible by six.

96 / 6 = 16

234 is even, and 234 is divisibly by three, therefore, 234 is divisible by six.

234 / 6 = 39

Rules you can use for dividing by 7

You can test if you can divide a number by seven if double of the last digit subtracted from the first two digits is divisible by seven.

(First two digits) - (2 x last digit)

For example, to check if 175 is divisible by seven, apply the rule like this:

(17) - (2 x 5) is 7, and 7 is divisible by seven, making 175 divisible by seven also.

175 / 7 = 25

Rules to utilize for dividing by 8

You can test if you can divide a number by eight if you can divide it by two three times and the result you get is still a whole number. A whole number is any number that is not a decimal number or a fraction.

(Initial number ÷ 2) ÷ (2) ÷ (2)

For example:

400 / 2 = 200, 200 / 2 = 100, 100 / 2 = 50

400 is divisible by eight.

820 / 2 = 410, 410 / 2 = 205, 205 / 2 = 102.5

820 is not divisible by eight.

Rules for dividing by 9

You can test if you can divide a number by nine if you can divide the total of the digits by nine.

(First digit) + (second digit) + (third digit) + (fourth digit) =

For example, to check if 1,600 is divisible by nine, you can add up the digits in the number and check if the result is also divisible by nine. In this case, 1 + 6 + 0 + 0 = 7 which is not divisible by nine. Therefore, 1,600 is not divisible by nine.

4 + 5 + 2 + 7 = 18 and 18 is divisible by nine. 

Therefore, 4527 is divisible by nine.

Divisibility rules for dividing by 10

You can test if you can divide a number by 10 if the number ends in zero. For example:

238 is not divisible by 10 because it does not end in a zero. 400 is divisible by 10 because it ends in a zero.

400 / 10 = 40

Rules to use when dividing by 11

You can test if you can divide a number by 11 if the addition and subtraction of the digits result in a number able to be divided by 11.

(First digit) - (second digit) + (third digit) - (fourth digit) =

For example:

Since 2 - 3 + 2 = 1, and one is not divisible by 11. 

So, 232 is not divisible by 11 either.

5 - 2 +8 = 11 and 11 is divisible by 11. 

Therefore, 528 is divisible by 11.

Rules to use when dividing by 12

You can test if you can divide a number by 12 if the number you're dividing follows the divisibility rules for three and four. Assume as an example that you want to see if 528 is divisible by 12. Adding five, two and eight together gives you a result of fifteen. This is divisible by three. Next, take the number and see if the last two digits are divisible by four. Since 528  follows the rule for four and rule for three, so it's divisible by 12.

(First digit) + (second digit) + (third digit)+(fourth digit)+ (Fifth digit) =Result is divisible by 3 and if the above resulting number's last two digits are divisible by 4, then the number is divisible by 12. If it does not follow these two rules simultaneously then it is not divisible by 12.

For example:

 

5+2+8=15 is divisible by 3 & last two digit, 28 is divisible by 4.

Then 528 is divisible by 12.

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