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"The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing".

"The Division is an operation inverse of Multiplication".

Let suppose, if 5 groups of 6 make 30 in multiplication; 30 divided into 5 equal groups give 6 in groups in division.

"The main goal of the division is to see how many equal groups or how many in each group when sharing fairly".

For Example:-

There are 30 marbles and 5 boxes, how to put 30 marbles into Five(5) equal-sized boxes.

So, 30 divided by 5 =?

Therefore, 6 marbles should be kept in each Box.

Mathematical Notation For Division:-

There are various signs which can be used to indicate division such as 

"Signs of Division".

    For Example:-

• 8/2 = 4.
• 16➗2 = 8.                 

Special Names For Each Character In Division:-

Each part involved in a division equation has a special name.

Dividend:- The dividend is the number that is being divided into the division process.

Divisor:- The number by which dividends are being divided by is called Divisor.

Quotient:- A quotient is a result obtained in the division                                process.

Introduction To The Remainder:-

The remainder is the portion of the dividend is left over after division.

For Example:- 

83 by 2, there is a leftover of 1.

It means 83 divided by 2 gives us Quotient = 41 and r = 1.

Special Facts About Division:-

• When dividing something by 1 the answer will always be the original. It means if the divisor is 1, the quotient will always be equal to the dividend such as 10 divided by 1 is equal to 10.
• Division by 0 is Undefined.
• The division of the same dividend and divisor is always 1.                                   For Example 4➗4 = 1.

What Is Long Division:-

In Math, long division is a method used for dividing large numbers into groups of parts. Long division helps in breaking the division problem into a sequence of easier steps. Just like all division problems, a large number which is the dividend, is divided by another number is called the divisor, to give a result called the quotient and sometimes a remainder.

How do you do long division?

The long division method involves basic math operations.

To divide two numbers using this method, a tableau is drawn. 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.

For Example:-       65➗5

Lond division involves 5 steps.

    

Check Your Answer:-

Dividend = Divisor ✖ Quotient + Remainder

Multiplication, one of the four basic operations of arithmetic, gives the result of combing groups of equals sizes.

Here each group has 3 Ice creams, and there are two such groups. So, there are 2 times 3 or 3+3 or 6 ice creams in total.

"In other words, Multiplication is repeated addition of numbers."

Multiplication is represented by the sign cross "✖", Asterisk"*" or dot '.'.

When we multiply two numbers, the answer we get is called 'Product'. The number of objects in each group is called "Multiplication", and the number of such equal group is called "Multiplier".

For Example:-

3×7 = 7+7+7 = 21

5×6 = 6+6+6+6+6+6 = 30

Multiplication Using Number line:-

Properties of Multiplication:-

• Associative property:-  For a number a,b and c.

                     (a×b)×c = a×(b×c)

• Distributive property:-  For a number a,b and c.

                         a×(b+c) = (a×b) + (a×c)

What is Factor?

Multiplying two whole numbers gives a product. The numbers that we multiply are the factors of the product.

What is Multiple?

The basic definition of multiple is manifold. In math, the meaning of multiple is the product result of one number multiplied by another number.

Here, 56 is a multiple of the integer 7.

Here is another example of multiples:-

4, 8, 12, 16, 20, 24 are multiples of 4.

In math, to subtract means to take away from a group or a number of things.

When we subtract; the number of things in the group reduce or become less.

The minuend, subtrahend, and difference are part of a subtraction problem.

In the subtraction problem, 7-3=4.

The number 7 is the minuend, the number 3 is the subtrahend and the number 4 is the difference.

• Fun Fact:-   

• Subtraction is just the opposite of addition.

• Also, every addition problem can be rewritten as a subtraction problem.

1. Subtraction is the inverse operation to addition.
2. Subtraction finds the difference between two numbers.
3.  The minuend minus the subtrahend; D = M - S.
4.  Subtraction is neither Commutative nor Associative.

The addition is taking two or more numbers and adding them together that is, it is the total sum of 2 or more numbers.

There are 7 apples in the first basket and 4 apple in the other. So, We add 7 and 4 to find the total number of apples.

To add 7 and 4, we can count forward 4 steps from 7.

The symbol used to indicate Addition is "+" (plus symbol).

So, 7 and 4 can be written as "7+4".

Addition Sentence:-

An addition sentence is a mathematical expression that shows two or more values added together and their sum.

We can write the mathematical expression for 7 plus 4 equals 11 as.

This is reading as 7 plus 4 equals to 11.